[{"doi":"10.1002/pamm.202300071","title":"Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method","volume":23,"author":[{"first_name":"Hendrik","last_name":"Westermann","orcid":"0000-0002-5034-9708","full_name":"Westermann, Hendrik","id":"60816"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"date_created":"2023-10-25T10:46:57Z","publisher":"Wiley","date_updated":"2023-11-07T14:34:44Z","intvolume":"        23","citation":{"ama":"Westermann H, Mahnken R. Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. <i>PAMM</i>. 2023;23(2). doi:<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>","ieee":"H. Westermann and R. Mahnken, “Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method,” <i>PAMM</i>, vol. 23, no. 2, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>.","chicago":"Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” <i>PAMM</i> 23, no. 2 (2023). <a href=\"https://doi.org/10.1002/pamm.202300071\">https://doi.org/10.1002/pamm.202300071</a>.","apa":"Westermann, H., &#38; Mahnken, R. (2023). Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. <i>PAMM</i>, <i>23</i>(2). <a href=\"https://doi.org/10.1002/pamm.202300071\">https://doi.org/10.1002/pamm.202300071</a>","mla":"Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” <i>PAMM</i>, vol. 23, no. 2, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>.","short":"H. Westermann, R. Mahnken, PAMM 23 (2023).","bibtex":"@article{Westermann_Mahnken_2023, title={Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method}, volume={23}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>}, number={2}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }"},"year":"2023","issue":"2","quality_controlled":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"48464","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Initial value problems can be solved efficiently by means of Runge–Kutta algorithms with adaptive step size control. Diagonally implicit Runge–Kutta (DIRK) methods are the most popular class among the diverse family of Runge–Kutta algorithms. In this paper, the novel class of low‐order explicit last‐stage diagonally implicit Runge–Kutta (ELDIRK) methods are explored, which combine implicit schemes with an additional explicit evaluation as an explicit last stage. ELDIRK Butcher tableaus are used to control embedded RK methods to obtain solutions of different orders. The lower‐order solution is obtained by classical implicit RK stages and the higher‐order solution is obtained by additional explicit evaluation. As a result, a significant reduction in computational cost is achieved by skipping the iterative solution of nonlinear systems for the additional step. The examination of the heat problem and the use of the innovative Butcher tableau in the finite‐element method are the main contributions of this work. Thus, it is possible to establish adaptive step size control for the new low‐order embedded methods based on an empirical method for error estimation. Two‐dimensional simulations are used to show an appropriate algorithm for the ELDIRK schemes. The new Runge–Kutta schemes' predictions of higher‐order convergence are confirmed, and their successful outcomes are illustrated.</jats:p>","lang":"eng"}],"publication":"PAMM","type":"journal_article"},{"publication":"Computer Methods in Applied Mechanics and Engineering","keyword":["Computer Science Applications","General Physics and Astronomy","Mechanical Engineering","Mechanics of Materials","Computational Mechanics"],"language":[{"iso":"eng"}],"quality_controlled":"1","year":"2023","publisher":"Elsevier BV","date_created":"2023-10-25T10:47:23Z","title":"On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems","type":"journal_article","status":"public","_id":"48465","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","article_number":"116545","publication_identifier":{"issn":["0045-7825"]},"publication_status":"published","intvolume":"       418","citation":{"apa":"Westermann, H., &#38; Mahnken, R. (2023). On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. <i>Computer Methods in Applied Mechanics and Engineering</i>, <i>418</i>, Article 116545. <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">https://doi.org/10.1016/j.cma.2023.116545</a>","mla":"Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 418, 116545, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>.","short":"H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).","bibtex":"@article{Westermann_Mahnken_2023, title={On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems}, volume={418}, DOI={<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>}, number={116545}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }","ieee":"H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 418, Art. no. 116545, 2023, doi: <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>.","chicago":"Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” <i>Computer Methods in Applied Mechanics and Engineering</i> 418 (2023). <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">https://doi.org/10.1016/j.cma.2023.116545</a>.","ama":"Westermann H, Mahnken R. On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. <i>Computer Methods in Applied Mechanics and Engineering</i>. 2023;418. doi:<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>"},"date_updated":"2023-11-07T14:34:56Z","volume":418,"author":[{"first_name":"Hendrik","last_name":"Westermann","orcid":"0000-0002-5034-9708","full_name":"Westermann, Hendrik","id":"60816"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"doi":"10.1016/j.cma.2023.116545"},{"language":[{"iso":"eng"}],"keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"publication":"Physical Chemistry Chemical Physics","abstract":[{"lang":"eng","text":"The seven parallel dissociative ionization channels of benzonitrile yield highly stable fragment ions with commensurate abundance, underlining the potential role of the benzonitrile cation as hub species in the interstellar medium."}],"date_created":"2023-11-07T07:24:53Z","publisher":"Royal Society of Chemistry (RSC)","title":"Threshold photoelectron spectroscopy and dissociative photoionization of benzonitrile","issue":"42","quality_controlled":"1","year":"2023","user_id":"98339","department":[{"_id":"728"}],"_id":"48639","article_type":"original","type":"journal_article","status":"public","author":[{"first_name":"Jerry","full_name":"Kamer, Jerry","last_name":"Kamer"},{"full_name":"Schleier, Domenik","id":"98339","last_name":"Schleier","first_name":"Domenik"},{"last_name":"Donker","full_name":"Donker, Merel","first_name":"Merel"},{"last_name":"Hemberger","full_name":"Hemberger, Patrick","first_name":"Patrick"},{"first_name":"Andras","last_name":"Bodi","full_name":"Bodi, Andras"},{"first_name":"Jordy","last_name":"Bouwman","full_name":"Bouwman, Jordy"}],"volume":25,"date_updated":"2023-11-13T08:00:52Z","doi":"10.1039/d3cp03977c","publication_status":"published","publication_identifier":{"issn":["1463-9076","1463-9084"]},"citation":{"short":"J. Kamer, D. Schleier, M. Donker, P. Hemberger, A. Bodi, J. Bouwman, Physical Chemistry Chemical Physics 25 (2023) 29070–29079.","bibtex":"@article{Kamer_Schleier_Donker_Hemberger_Bodi_Bouwman_2023, title={Threshold photoelectron spectroscopy and dissociative photoionization of benzonitrile}, volume={25}, DOI={<a href=\"https://doi.org/10.1039/d3cp03977c\">10.1039/d3cp03977c</a>}, number={42}, journal={Physical Chemistry Chemical Physics}, publisher={Royal Society of Chemistry (RSC)}, author={Kamer, Jerry and Schleier, Domenik and Donker, Merel and Hemberger, Patrick and Bodi, Andras and Bouwman, Jordy}, year={2023}, pages={29070–29079} }","mla":"Kamer, Jerry, et al. “Threshold Photoelectron Spectroscopy and Dissociative Photoionization of Benzonitrile.” <i>Physical Chemistry Chemical Physics</i>, vol. 25, no. 42, Royal Society of Chemistry (RSC), 2023, pp. 29070–79, doi:<a href=\"https://doi.org/10.1039/d3cp03977c\">10.1039/d3cp03977c</a>.","apa":"Kamer, J., Schleier, D., Donker, M., Hemberger, P., Bodi, A., &#38; Bouwman, J. (2023). Threshold photoelectron spectroscopy and dissociative photoionization of benzonitrile. <i>Physical Chemistry Chemical Physics</i>, <i>25</i>(42), 29070–29079. <a href=\"https://doi.org/10.1039/d3cp03977c\">https://doi.org/10.1039/d3cp03977c</a>","ieee":"J. Kamer, D. Schleier, M. Donker, P. Hemberger, A. Bodi, and J. Bouwman, “Threshold photoelectron spectroscopy and dissociative photoionization of benzonitrile,” <i>Physical Chemistry Chemical Physics</i>, vol. 25, no. 42, pp. 29070–29079, 2023, doi: <a href=\"https://doi.org/10.1039/d3cp03977c\">10.1039/d3cp03977c</a>.","chicago":"Kamer, Jerry, Domenik Schleier, Merel Donker, Patrick Hemberger, Andras Bodi, and Jordy Bouwman. “Threshold Photoelectron Spectroscopy and Dissociative Photoionization of Benzonitrile.” <i>Physical Chemistry Chemical Physics</i> 25, no. 42 (2023): 29070–79. <a href=\"https://doi.org/10.1039/d3cp03977c\">https://doi.org/10.1039/d3cp03977c</a>.","ama":"Kamer J, Schleier D, Donker M, Hemberger P, Bodi A, Bouwman J. Threshold photoelectron spectroscopy and dissociative photoionization of benzonitrile. <i>Physical Chemistry Chemical Physics</i>. 2023;25(42):29070-29079. doi:<a href=\"https://doi.org/10.1039/d3cp03977c\">10.1039/d3cp03977c</a>"},"page":"29070-29079","intvolume":"        25"},{"publication":"Crystals","abstract":[{"lang":"eng","text":"<jats:p>The effect of plaque deposition (atherosclerosis) on blood flow behaviour is investigated via computational fluid dynamics and structural mechanics simulations. To mitigate the narrowing of coronary artery atherosclerosis (stenosis), the computational modelling of auxetic and non-auxetic stents was performed in this study to minimise or even avoid these deposition agents in the future. Computational modelling was performed in unrestricted (open) conditions and restricted (in an artery) conditions. Finally, stent designs were produced by additive manufacturing, and mechanical testing of the stents was undertaken. Auxetic stent 1 and auxetic stent 2 exhibit very little foreshortening and radial recoil in unrestricted deployment conditions compared to non-auxetic stent 3. However, stent 2 shows structural instability (strut failure) during unrestricted deployment conditions. For the restricted deployment condition, stent 1 shows a higher radial recoil compared to stent 3. In the tensile test simulations, short elongation for stent 1 due to strut failure is demonstrated, whereas no structural instability is noticed for stent 2 and stent 3 until 0.5 (mm/mm) strain. The as-built samples show a significant thickening of the struts of the stents resulting in short elongations during tensile testing compared to the simulations (stent 2 and stent 3). A modelling framework for the stent deployment system that enables the selection of appropriate stent designs before in vivo testing is required. This leads to the acceleration of the development process and a reduction in time, resulting in less material wastage. The modelling framework shall be useful for doctors designing patient-specific stents.</jats:p>"}],"keyword":["Inorganic Chemistry","Condensed Matter Physics","General Materials Science","General Chemical Engineering"],"language":[{"iso":"eng"}],"quality_controlled":"1","issue":"11","year":"2023","publisher":"MDPI AG","date_created":"2023-11-21T15:29:49Z","title":"Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach","type":"journal_article","status":"public","_id":"49107","department":[{"_id":"9"},{"_id":"158"}],"user_id":"48411","article_number":"1592","publication_identifier":{"issn":["2073-4352"]},"publication_status":"published","intvolume":"        13","citation":{"apa":"Pramanik, S., Milaege, D., Hein, M., Hoyer, K.-P., &#38; Schaper, M. (2023). Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach. <i>Crystals</i>, <i>13</i>(11), Article 1592. <a href=\"https://doi.org/10.3390/cryst13111592\">https://doi.org/10.3390/cryst13111592</a>","bibtex":"@article{Pramanik_Milaege_Hein_Hoyer_Schaper_2023, title={Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach}, volume={13}, DOI={<a href=\"https://doi.org/10.3390/cryst13111592\">10.3390/cryst13111592</a>}, number={111592}, journal={Crystals}, publisher={MDPI AG}, author={Pramanik, Sudipta and Milaege, Dennis and Hein, Maxwell and Hoyer, Kay-Peter and Schaper, Mirko}, year={2023} }","short":"S. Pramanik, D. Milaege, M. Hein, K.-P. Hoyer, M. Schaper, Crystals 13 (2023).","mla":"Pramanik, Sudipta, et al. “Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach.” <i>Crystals</i>, vol. 13, no. 11, 1592, MDPI AG, 2023, doi:<a href=\"https://doi.org/10.3390/cryst13111592\">10.3390/cryst13111592</a>.","ama":"Pramanik S, Milaege D, Hein M, Hoyer K-P, Schaper M. Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach. <i>Crystals</i>. 2023;13(11). doi:<a href=\"https://doi.org/10.3390/cryst13111592\">10.3390/cryst13111592</a>","ieee":"S. Pramanik, D. Milaege, M. Hein, K.-P. Hoyer, and M. Schaper, “Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach,” <i>Crystals</i>, vol. 13, no. 11, Art. no. 1592, 2023, doi: <a href=\"https://doi.org/10.3390/cryst13111592\">10.3390/cryst13111592</a>.","chicago":"Pramanik, Sudipta, Dennis Milaege, Maxwell Hein, Kay-Peter Hoyer, and Mirko Schaper. “Additive Manufacturing and Mechanical Properties of Auxetic and Non-Auxetic Ti24Nb4Zr8Sn Biomedical Stents: A Combined Experimental and Computational Modelling Approach.” <i>Crystals</i> 13, no. 11 (2023). <a href=\"https://doi.org/10.3390/cryst13111592\">https://doi.org/10.3390/cryst13111592</a>."},"date_updated":"2023-11-21T15:30:57Z","volume":13,"author":[{"last_name":"Pramanik","full_name":"Pramanik, Sudipta","first_name":"Sudipta"},{"last_name":"Milaege","full_name":"Milaege, Dennis","first_name":"Dennis"},{"orcid":"0000-0002-3732-2236","last_name":"Hein","full_name":"Hein, Maxwell","id":"52771","first_name":"Maxwell"},{"id":"48411","full_name":"Hoyer, Kay-Peter","last_name":"Hoyer","first_name":"Kay-Peter"},{"last_name":"Schaper","full_name":"Schaper, Mirko","id":"43720","first_name":"Mirko"}],"doi":"10.3390/cryst13111592"},{"year":"2023","citation":{"short":"D. Scharwald, T. Meier, P.R. Sharapova, Physical Review Research 5 (2023).","mla":"Scharwald, D., et al. “Phase Sensitivity of Spatially Broadband High-Gain &#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\"&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;SU&#60;/Mml:Mi&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Mn&#62;1&#60;/Mml:Mn&#62;&#60;mml:Mo&#62;,&#60;/Mml:Mo&#62;&#60;mml:Mn&#62;1&#60;/Mml:Mn&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Math&#62; Interferometers.” <i>Physical Review Research</i>, vol. 5, no. 4, 043158, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">10.1103/physrevresearch.5.043158</a>.","bibtex":"@article{Scharwald_Meier_Sharapova_2023, title={Phase sensitivity of spatially broadband high-gain &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;SU&#60;/mml:mi&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;,&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:math&#62; interferometers}, volume={5}, DOI={<a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">10.1103/physrevresearch.5.043158</a>}, number={4043158}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Scharwald, D. and Meier, T. and Sharapova, P. R.}, year={2023} }","apa":"Scharwald, D., Meier, T., &#38; Sharapova, P. R. (2023). Phase sensitivity of spatially broadband high-gain &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;SU&#60;/mml:mi&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;,&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:math&#62; interferometers. <i>Physical Review Research</i>, <i>5</i>(4), Article 043158. <a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">https://doi.org/10.1103/physrevresearch.5.043158</a>","ieee":"D. Scharwald, T. Meier, and P. R. Sharapova, “Phase sensitivity of spatially broadband high-gain &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;SU&#60;/mml:mi&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;,&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:math&#62; interferometers,” <i>Physical Review Research</i>, vol. 5, no. 4, Art. no. 043158, 2023, doi: <a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">10.1103/physrevresearch.5.043158</a>.","chicago":"Scharwald, D., T. Meier, and P. R. Sharapova. “Phase Sensitivity of Spatially Broadband High-Gain &#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\"&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;SU&#60;/Mml:Mi&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Mn&#62;1&#60;/Mml:Mn&#62;&#60;mml:Mo&#62;,&#60;/Mml:Mo&#62;&#60;mml:Mn&#62;1&#60;/Mml:Mn&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Math&#62; Interferometers.” <i>Physical Review Research</i> 5, no. 4 (2023). <a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">https://doi.org/10.1103/physrevresearch.5.043158</a>.","ama":"Scharwald D, Meier T, Sharapova PR. Phase sensitivity of spatially broadband high-gain &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;SU&#60;/mml:mi&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;,&#60;/mml:mo&#62;&#60;mml:mn&#62;1&#60;/mml:mn&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:math&#62; interferometers. <i>Physical Review Research</i>. 2023;5(4). doi:<a href=\"https://doi.org/10.1103/physrevresearch.5.043158\">10.1103/physrevresearch.5.043158</a>"},"intvolume":"         5","publication_status":"published","publication_identifier":{"issn":["2643-1564"]},"issue":"4","title":"Phase sensitivity of spatially broadband high-gain <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> interferometers","doi":"10.1103/physrevresearch.5.043158","date_updated":"2023-11-22T09:19:02Z","publisher":"American Physical Society (APS)","author":[{"last_name":"Scharwald","full_name":"Scharwald, D.","first_name":"D."},{"first_name":"T.","full_name":"Meier, T.","last_name":"Meier"},{"first_name":"P. R.","last_name":"Sharapova","full_name":"Sharapova, P. R."}],"date_created":"2023-11-22T09:18:02Z","volume":5,"status":"public","type":"journal_article","publication":"Physical Review Research","article_number":"043158","keyword":["General Physics and Astronomy"],"language":[{"iso":"eng"}],"_id":"49117","user_id":"60286","department":[{"_id":"15"},{"_id":"170"},{"_id":"230"},{"_id":"569"},{"_id":"429"}]},{"article_number":"32717","keyword":["Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}],"_id":"48399","user_id":"50819","abstract":[{"text":"<jats:p>Quantum photonic processing via electro-optic components typically requires electronic links across different operation environments, especially when interfacing cryogenic components such as superconducting single photon detectors with room-temperature control and readout electronics. However, readout and driving electronics can introduce detrimental parasitic effects. Here we show an all-optical control and readout of a superconducting nanowire single photon detector (SNSPD), completely electrically decoupled from room temperature electronics. We provide the operation power for the superconducting detector via a cryogenic photodiode, and readout single photon detection signals via a cryogenic electro-optic modulator in the same cryostat. This method opens the possibility for control and readout of superconducting circuits, and feedforward for photonic quantum computing.</jats:p>","lang":"eng"}],"status":"public","type":"journal_article","publication":"Optics Express","title":"All optical operation of a superconducting photonic interface","doi":"10.1364/oe.492035","date_updated":"2023-11-27T08:43:33Z","publisher":"Optica Publishing Group","author":[{"first_name":"Frederik","full_name":"Thiele, Frederik","id":"50819","orcid":"0000-0003-0663-5587","last_name":"Thiele"},{"first_name":"Thomas","id":"83846","full_name":"Hummel, Thomas","last_name":"Hummel"},{"first_name":"Adam N.","full_name":"McCaughan, Adam N.","last_name":"McCaughan"},{"first_name":"Julian","last_name":"Brockmeier","full_name":"Brockmeier, Julian","id":"44807"},{"last_name":"Protte","id":"46170","full_name":"Protte, Maximilian","first_name":"Maximilian"},{"first_name":"Victor","last_name":"Quiring","full_name":"Quiring, Victor"},{"first_name":"Sebastian","full_name":"Lengeling, Sebastian","id":"44373","last_name":"Lengeling"},{"first_name":"Christof","full_name":"Eigner, Christof","id":"13244","last_name":"Eigner","orcid":"https://orcid.org/0000-0002-5693-3083"},{"last_name":"Silberhorn","full_name":"Silberhorn, Christine","id":"26263","first_name":"Christine"},{"first_name":"Tim","id":"49683","full_name":"Bartley, Tim","last_name":"Bartley"}],"date_created":"2023-10-24T06:43:16Z","volume":31,"year":"2023","citation":{"chicago":"Thiele, Frederik, Thomas Hummel, Adam N. McCaughan, Julian Brockmeier, Maximilian Protte, Victor Quiring, Sebastian Lengeling, Christof Eigner, Christine Silberhorn, and Tim Bartley. “All Optical Operation of a Superconducting Photonic Interface.” <i>Optics Express</i> 31, no. 20 (2023). <a href=\"https://doi.org/10.1364/oe.492035\">https://doi.org/10.1364/oe.492035</a>.","ieee":"F. Thiele <i>et al.</i>, “All optical operation of a superconducting photonic interface,” <i>Optics Express</i>, vol. 31, no. 20, Art. no. 32717, 2023, doi: <a href=\"https://doi.org/10.1364/oe.492035\">10.1364/oe.492035</a>.","ama":"Thiele F, Hummel T, McCaughan AN, et al. All optical operation of a superconducting photonic interface. <i>Optics Express</i>. 2023;31(20). doi:<a href=\"https://doi.org/10.1364/oe.492035\">10.1364/oe.492035</a>","bibtex":"@article{Thiele_Hummel_McCaughan_Brockmeier_Protte_Quiring_Lengeling_Eigner_Silberhorn_Bartley_2023, title={All optical operation of a superconducting photonic interface}, volume={31}, DOI={<a href=\"https://doi.org/10.1364/oe.492035\">10.1364/oe.492035</a>}, number={2032717}, journal={Optics Express}, publisher={Optica Publishing Group}, author={Thiele, Frederik and Hummel, Thomas and McCaughan, Adam N. and Brockmeier, Julian and Protte, Maximilian and Quiring, Victor and Lengeling, Sebastian and Eigner, Christof and Silberhorn, Christine and Bartley, Tim}, year={2023} }","short":"F. Thiele, T. Hummel, A.N. McCaughan, J. Brockmeier, M. Protte, V. Quiring, S. Lengeling, C. Eigner, C. Silberhorn, T. Bartley, Optics Express 31 (2023).","mla":"Thiele, Frederik, et al. “All Optical Operation of a Superconducting Photonic Interface.” <i>Optics Express</i>, vol. 31, no. 20, 32717, Optica Publishing Group, 2023, doi:<a href=\"https://doi.org/10.1364/oe.492035\">10.1364/oe.492035</a>.","apa":"Thiele, F., Hummel, T., McCaughan, A. N., Brockmeier, J., Protte, M., Quiring, V., Lengeling, S., Eigner, C., Silberhorn, C., &#38; Bartley, T. (2023). All optical operation of a superconducting photonic interface. <i>Optics Express</i>, <i>31</i>(20), Article 32717. <a href=\"https://doi.org/10.1364/oe.492035\">https://doi.org/10.1364/oe.492035</a>"},"intvolume":"        31","publication_status":"published","publication_identifier":{"issn":["1094-4087"]},"issue":"20"},{"status":"public","type":"journal_article","department":[{"_id":"313"},{"_id":"230"}],"user_id":"254","_id":"43440","page":"1243-1251","intvolume":"        50","citation":{"ama":"Zhang B, Nguyen L, Martens K, et al. Luminescent DNA-origami nano-rods dispersed in a lyotropic chromonic liquid crystal. <i>Liquid Crystals</i>. 2023;50(7-10):1243-1251. doi:<a href=\"https://doi.org/10.1080/02678292.2023.2188494\">10.1080/02678292.2023.2188494</a>","chicago":"Zhang, Bingru, Linh Nguyen, Kevin Martens, Amelie Heuer-Jungemann, Julian Philipp, Susanne Kempter, Joachim O. Rädler, Tim Liedl, and Heinz-Siegfried Kitzerow. “Luminescent DNA-Origami Nano-Rods Dispersed in a Lyotropic Chromonic Liquid Crystal.” <i>Liquid Crystals</i> 50, no. 7–10 (2023): 1243–51. <a href=\"https://doi.org/10.1080/02678292.2023.2188494\">https://doi.org/10.1080/02678292.2023.2188494</a>.","ieee":"B. Zhang <i>et al.</i>, “Luminescent DNA-origami nano-rods dispersed in a lyotropic chromonic liquid crystal,” <i>Liquid Crystals</i>, vol. 50, no. 7–10, pp. 1243–1251, 2023, doi: <a href=\"https://doi.org/10.1080/02678292.2023.2188494\">10.1080/02678292.2023.2188494</a>.","short":"B. Zhang, L. Nguyen, K. Martens, A. Heuer-Jungemann, J. Philipp, S. Kempter, J.O. Rädler, T. Liedl, H.-S. Kitzerow, Liquid Crystals 50 (2023) 1243–1251.","mla":"Zhang, Bingru, et al. “Luminescent DNA-Origami Nano-Rods Dispersed in a Lyotropic Chromonic Liquid Crystal.” <i>Liquid Crystals</i>, vol. 50, no. 7–10, Informa UK Limited, 2023, pp. 1243–51, doi:<a href=\"https://doi.org/10.1080/02678292.2023.2188494\">10.1080/02678292.2023.2188494</a>.","bibtex":"@article{Zhang_Nguyen_Martens_Heuer-Jungemann_Philipp_Kempter_Rädler_Liedl_Kitzerow_2023, title={Luminescent DNA-origami nano-rods dispersed in a lyotropic chromonic liquid crystal}, volume={50}, DOI={<a href=\"https://doi.org/10.1080/02678292.2023.2188494\">10.1080/02678292.2023.2188494</a>}, number={7–10}, journal={Liquid Crystals}, publisher={Informa UK Limited}, author={Zhang, Bingru and Nguyen, Linh and Martens, Kevin and Heuer-Jungemann, Amelie and Philipp, Julian and Kempter, Susanne and Rädler, Joachim O. and Liedl, Tim and Kitzerow, Heinz-Siegfried}, year={2023}, pages={1243–1251} }","apa":"Zhang, B., Nguyen, L., Martens, K., Heuer-Jungemann, A., Philipp, J., Kempter, S., Rädler, J. O., Liedl, T., &#38; Kitzerow, H.-S. (2023). Luminescent DNA-origami nano-rods dispersed in a lyotropic chromonic liquid crystal. <i>Liquid Crystals</i>, <i>50</i>(7–10), 1243–1251. <a href=\"https://doi.org/10.1080/02678292.2023.2188494\">https://doi.org/10.1080/02678292.2023.2188494</a>"},"publication_identifier":{"issn":["0267-8292","1366-5855"]},"publication_status":"published","doi":"10.1080/02678292.2023.2188494","volume":50,"author":[{"full_name":"Zhang, Bingru","last_name":"Zhang","first_name":"Bingru"},{"first_name":"Linh","full_name":"Nguyen, Linh","last_name":"Nguyen"},{"full_name":"Martens, Kevin","last_name":"Martens","first_name":"Kevin"},{"full_name":"Heuer-Jungemann, Amelie","last_name":"Heuer-Jungemann","first_name":"Amelie"},{"first_name":"Julian","last_name":"Philipp","full_name":"Philipp, Julian"},{"full_name":"Kempter, Susanne","last_name":"Kempter","first_name":"Susanne"},{"first_name":"Joachim O.","last_name":"Rädler","full_name":"Rädler, Joachim O."},{"first_name":"Tim","last_name":"Liedl","full_name":"Liedl, Tim"},{"first_name":"Heinz-Siegfried","id":"254","full_name":"Kitzerow, Heinz-Siegfried","last_name":"Kitzerow"}],"date_updated":"2023-12-13T15:54:31Z","publication":"Liquid Crystals","language":[{"iso":"eng"}],"keyword":["Condensed Matter Physics","General Materials Science","General Chemistry"],"year":"2023","issue":"7-10","title":"Luminescent DNA-origami nano-rods dispersed in a lyotropic chromonic liquid crystal","date_created":"2023-04-08T17:21:30Z","publisher":"Informa UK Limited"},{"publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"citation":{"chicago":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” <i>PAMM</i>, 2023. <a href=\"https://doi.org/10.1002/pamm.202300136\">https://doi.org/10.1002/pamm.202300136</a>.","ieee":"A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites,” <i>PAMM</i>, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>.","apa":"Tchomgue Simeu, A., &#38; Mahnken, R. (2023). Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300136\">https://doi.org/10.1002/pamm.202300136</a>","ama":"Tchomgue Simeu A, Mahnken R. Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. <i>PAMM</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>","short":"A. Tchomgue Simeu, R. Mahnken, PAMM (2023).","mla":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” <i>PAMM</i>, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>.","bibtex":"@article{Tchomgue Simeu_Mahnken_2023, title={Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }"},"year":"2023","author":[{"first_name":"Arnold","id":"83075","full_name":"Tchomgue Simeu, Arnold","last_name":"Tchomgue Simeu"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"date_created":"2023-12-19T12:20:05Z","date_updated":"2023-12-19T12:20:51Z","publisher":"Wiley","doi":"10.1002/pamm.202300136","title":"Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites","type":"journal_article","publication":"PAMM","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The use of heterogeneous materials, such as composites with Prandtl‐Reuss‐type material laws, has increased in industrial praxis, making finite element modeling with homogenization techniques a well‐accepted tool. These methods are particularly advantageous to account for microstructural mechanisms which can be related to nonlinearities and time‐dependency due to elasto‐plasticity behavior. However, their advantages are diminished by increasing computational demand. The present contribution deals with the balance of accuracy and numerical efficiency of nonlinear homogenization associated with a framework of goal‐oriented adaptivity, which takes into account error accumulation over time. To this end, model adaptivity of homogenization methods is coupled to mesh adaptivity on the macro scale. Our new proposed adaptive procedure is driven by a goal‐oriented a posteriori error estimator based on duality techniques using downwind and upwind approximations. Due to nonlinearities and time‐dependency of the plasticity, the estimation of error transport and error generation is obtained with a backward‐in‐time dual method despite a high demand on memory capacity. In this contribution, the dual problem is solved with a forward‐in‐time dual method that allows estimating the full error during the resolution of the primal problem without the need for extra memory capacity. Finally, a numerical example illustrates the effectiveness of the proposed adaptive approach.</jats:p>","lang":"eng"}],"user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"_id":"49866","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"]},{"abstract":[{"lang":"eng","text":"In the last decade, conductive domain walls (CDWs) in single crystals of the uniaxial model ferroelectric lithium niobate (LiNbO3; LNO) have been shown to reach resistances more than 10 orders of magnitude lower than the resistance of the surrounding bulk, with charge carriers being firmly confined to sheets with a width of a few nanometers. LNO is thus currently witnessing increased attention because of its potential in the design of room-temperature nanoelectronic circuits and devices based on such CDWs. In this context, the reliable determination of the fundamental transport parameters of LNO CDWs, in particular the 2D charge carrier density n2D and the Hall mobility μH of the majority carriers, is of great interest. In this contribution, we present and apply a robust and easy-to-prepare Hall-effect measurement setup by adapting the standard four-probe van der Pauw method to contact a single, hexagonally shaped domain wall that fully penetrates the 200-μm-thick LNO bulk single crystal. We then determine n2D and μH for a set of external magnetic fields B and prove the expected cosinelike angular dependence of the Hall voltage. Lastly, we present photoinduced-Hall-effect measurements of one and the same DW, by determining the impact of super-band-gap illumination on n2D."}],"status":"public","type":"journal_article","publication":"Physical Review Applied","article_number":"064043","article_type":"original","keyword":["General Physics and Astronomy"],"language":[{"iso":"eng"}],"_id":"50407","user_id":"22501","year":"2023","citation":{"apa":"Beccard, H., Beyreuther, E., Kirbus, B., Seddon, S. D., Rüsing, M., &#38; Eng, L. M. (2023). Hall mobilities and sheet carrier densities in a single LiNbO3 conductive ferroelectric domain wall. <i>Physical Review Applied</i>, <i>20</i>(6), Article 064043. <a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">https://doi.org/10.1103/physrevapplied.20.064043</a>","mla":"Beccard, Henrik, et al. “Hall Mobilities and Sheet Carrier Densities in a Single LiNbO3 Conductive Ferroelectric Domain Wall.” <i>Physical Review Applied</i>, vol. 20, no. 6, 064043, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">10.1103/physrevapplied.20.064043</a>.","bibtex":"@article{Beccard_Beyreuther_Kirbus_Seddon_Rüsing_Eng_2023, title={Hall mobilities and sheet carrier densities in a single LiNbO3 conductive ferroelectric domain wall}, volume={20}, DOI={<a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">10.1103/physrevapplied.20.064043</a>}, number={6064043}, journal={Physical Review Applied}, publisher={American Physical Society (APS)}, author={Beccard, Henrik and Beyreuther, Elke and Kirbus, Benjamin and Seddon, Samuel D. and Rüsing, Michael and Eng, Lukas M.}, year={2023} }","short":"H. Beccard, E. Beyreuther, B. Kirbus, S.D. Seddon, M. Rüsing, L.M. Eng, Physical Review Applied 20 (2023).","ieee":"H. Beccard, E. Beyreuther, B. Kirbus, S. D. Seddon, M. Rüsing, and L. M. Eng, “Hall mobilities and sheet carrier densities in a single LiNbO3 conductive ferroelectric domain wall,” <i>Physical Review Applied</i>, vol. 20, no. 6, Art. no. 064043, 2023, doi: <a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">10.1103/physrevapplied.20.064043</a>.","chicago":"Beccard, Henrik, Elke Beyreuther, Benjamin Kirbus, Samuel D. Seddon, Michael Rüsing, and Lukas M. Eng. “Hall Mobilities and Sheet Carrier Densities in a Single LiNbO3 Conductive Ferroelectric Domain Wall.” <i>Physical Review Applied</i> 20, no. 6 (2023). <a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">https://doi.org/10.1103/physrevapplied.20.064043</a>.","ama":"Beccard H, Beyreuther E, Kirbus B, Seddon SD, Rüsing M, Eng LM. Hall mobilities and sheet carrier densities in a single LiNbO3 conductive ferroelectric domain wall. <i>Physical Review Applied</i>. 2023;20(6). doi:<a href=\"https://doi.org/10.1103/physrevapplied.20.064043\">10.1103/physrevapplied.20.064043</a>"},"intvolume":"        20","publication_status":"published","publication_identifier":{"issn":["2331-7019"]},"issue":"6","title":"Hall mobilities and sheet carrier densities in a single LiNbO3 conductive ferroelectric domain wall","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2308.00061.pdf"}],"doi":"10.1103/physrevapplied.20.064043","date_updated":"2024-01-09T15:05:29Z","publisher":"American Physical Society (APS)","oa":"1","author":[{"first_name":"Henrik","full_name":"Beccard, Henrik","last_name":"Beccard"},{"full_name":"Beyreuther, Elke","last_name":"Beyreuther","first_name":"Elke"},{"full_name":"Kirbus, Benjamin","last_name":"Kirbus","first_name":"Benjamin"},{"first_name":"Samuel D.","last_name":"Seddon","full_name":"Seddon, Samuel D."},{"full_name":"Rüsing, Michael","id":"22501","orcid":"0000-0003-4682-4577","last_name":"Rüsing","first_name":"Michael"},{"full_name":"Eng, Lukas M.","last_name":"Eng","first_name":"Lukas M."}],"date_created":"2024-01-09T15:03:22Z","volume":20},{"quality_controlled":"1","issue":"1","year":"2023","publisher":"Wiley","date_created":"2023-10-19T07:25:06Z","title":"Adaptive Scaling of Components in the Fused Deposition Modeling Process","publication":"Macromolecular Symposia","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Currently, the fused deposition modeling (FDM) process is the most common additive manufacturing technology. The principle of the FDM process is the strand wise deposition of molten thermoplastic polymers, by feeding a filament trough a heated nozzle. Due to the strand and layer wise deposition the cooling of the manufactured component is not uniform. This leads to dimensional deviations which may cause the component to be unusable for the desired application. In this paper, a method is described which is based on the shrinkage compensation through the adaption of every single raster line in components manufactured with the FDM process. The shrinkage compensation is based on a model resulting from a DOE which considers the main influencing factors on the shrinkage behavior of raster lines in the FDM process. An in‐house developed software analyzes the component and locally applies the shrinkage compensation with consideration of the boundary conditions, e.g., the position of the raster line in the component and the process parameters. Following, a validation using a simple geometry is conducted to show the effect of the presented adaptive scaling method.</jats:p>"}],"keyword":["Materials Chemistry","Polymers and Plastics","Organic Chemistry","Condensed Matter Physics"],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1022-1360","1521-3900"]},"citation":{"apa":"Moritzer, E., &#38; Hecker, F. (2023). Adaptive Scaling of Components in the Fused Deposition Modeling Process. <i>Macromolecular Symposia</i>, <i>411</i>(1). <a href=\"https://doi.org/10.1002/masy.202200181\">https://doi.org/10.1002/masy.202200181</a>","bibtex":"@article{Moritzer_Hecker_2023, title={Adaptive Scaling of Components in the Fused Deposition Modeling Process}, volume={411}, DOI={<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>}, number={1}, journal={Macromolecular Symposia}, publisher={Wiley}, author={Moritzer, Elmar and Hecker, Felix}, year={2023} }","mla":"Moritzer, Elmar, and Felix Hecker. “Adaptive Scaling of Components in the Fused Deposition Modeling Process.” <i>Macromolecular Symposia</i>, vol. 411, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>.","short":"E. Moritzer, F. Hecker, Macromolecular Symposia 411 (2023).","chicago":"Moritzer, Elmar, and Felix Hecker. “Adaptive Scaling of Components in the Fused Deposition Modeling Process.” <i>Macromolecular Symposia</i> 411, no. 1 (2023). <a href=\"https://doi.org/10.1002/masy.202200181\">https://doi.org/10.1002/masy.202200181</a>.","ieee":"E. Moritzer and F. Hecker, “Adaptive Scaling of Components in the Fused Deposition Modeling Process,” <i>Macromolecular Symposia</i>, vol. 411, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>.","ama":"Moritzer E, Hecker F. Adaptive Scaling of Components in the Fused Deposition Modeling Process. <i>Macromolecular Symposia</i>. 2023;411(1). doi:<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>"},"intvolume":"       411","date_updated":"2024-02-23T08:36:42Z","oa":"1","author":[{"last_name":"Moritzer","id":"20531","full_name":"Moritzer, Elmar","first_name":"Elmar"},{"first_name":"Felix","last_name":"Hecker","id":"45537","full_name":"Hecker, Felix"}],"volume":411,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1002/masy.202200181"}],"conference":{"start_date":"2022-11-13","name":"POLCOM 2022","location":"Bukarest","end_date":"2022-11-26"},"doi":"10.1002/masy.202200181","type":"journal_article","status":"public","_id":"48277","user_id":"45537","department":[{"_id":"9"},{"_id":"367"},{"_id":"321"},{"_id":"219"},{"_id":"624"}]},{"_id":"52122","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"user_id":"16199","keyword":["General Physics and Astronomy"],"article_number":"043152","language":[{"iso":"eng"}],"publication":"Physical Review Research","type":"journal_article","status":"public","publisher":"American Physical Society (APS)","date_updated":"2024-02-28T12:53:40Z","volume":5,"author":[{"full_name":"Ali, Usman","last_name":"Ali","first_name":"Usman"},{"first_name":"Martin","full_name":"Holthaus, Martin","last_name":"Holthaus"},{"last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"}],"date_created":"2024-02-27T13:57:01Z","title":"Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice","doi":"10.1103/physrevresearch.5.043152","publication_identifier":{"issn":["2643-1564"]},"publication_status":"published","issue":"4","year":"2023","intvolume":"         5","citation":{"ama":"Ali U, Holthaus M, Meier T. Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice. <i>Physical Review Research</i>. 2023;5(4). doi:<a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">10.1103/physrevresearch.5.043152</a>","ieee":"U. Ali, M. Holthaus, and T. Meier, “Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice,” <i>Physical Review Research</i>, vol. 5, no. 4, Art. no. 043152, 2023, doi: <a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">10.1103/physrevresearch.5.043152</a>.","chicago":"Ali, Usman, Martin Holthaus, and Torsten Meier. “Chirped Bloch-Harmonic Oscillations in a Parametrically Forced Optical Lattice.” <i>Physical Review Research</i> 5, no. 4 (2023). <a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">https://doi.org/10.1103/physrevresearch.5.043152</a>.","bibtex":"@article{Ali_Holthaus_Meier_2023, title={Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice}, volume={5}, DOI={<a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">10.1103/physrevresearch.5.043152</a>}, number={4043152}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Ali, Usman and Holthaus, Martin and Meier, Torsten}, year={2023} }","mla":"Ali, Usman, et al. “Chirped Bloch-Harmonic Oscillations in a Parametrically Forced Optical Lattice.” <i>Physical Review Research</i>, vol. 5, no. 4, 043152, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">10.1103/physrevresearch.5.043152</a>.","short":"U. Ali, M. Holthaus, T. Meier, Physical Review Research 5 (2023).","apa":"Ali, U., Holthaus, M., &#38; Meier, T. (2023). Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice. <i>Physical Review Research</i>, <i>5</i>(4), Article 043152. <a href=\"https://doi.org/10.1103/physrevresearch.5.043152\">https://doi.org/10.1103/physrevresearch.5.043152</a>"}},{"type":"journal_article","publication":"PAMM","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Cold‐box sand (CBS) belongs to the granular materials and consists of sand and a binder. The behavior of CBS is simulated with a micropolar model, whereby the additional degree of freedom of the model describes the rotation of the sand grains. The model is used to generate a shear band under pressure for three different meshes, where the force‐displacement curves of the three meshes converge so that no mesh dependence occurs. Another requirement of the model is the consideration of asymmetric behavior for compression and tension. Due to the additional degree of freedom the implicit implementation of the micropolar continuum is very time‐consuming. Therefore, an explicit implementation is considered as an alternative possibility. This paper compares the advantages and disadvantages of both methods and the results for both calculations.</jats:p>","lang":"eng"}],"user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"_id":"52219","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","citation":{"chicago":"Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” <i>PAMM</i>, 2023. <a href=\"https://doi.org/10.1002/pamm.202300126\">https://doi.org/10.1002/pamm.202300126</a>.","ieee":"A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests,” <i>PAMM</i>, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>.","short":"A. Börger, R. Mahnken, PAMM (2023).","mla":"Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” <i>PAMM</i>, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>.","bibtex":"@article{Börger_Mahnken_2023, title={A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>}, journal={PAMM}, publisher={Wiley}, author={Börger, Alexander and Mahnken, Rolf}, year={2023} }","ama":"Börger A, Mahnken R. A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. <i>PAMM</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>","apa":"Börger, A., &#38; Mahnken, R. (2023). A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300126\">https://doi.org/10.1002/pamm.202300126</a>"},"year":"2023","author":[{"full_name":"Börger, Alexander","last_name":"Börger","first_name":"Alexander"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"date_created":"2024-02-29T13:59:12Z","date_updated":"2024-02-29T13:59:31Z","publisher":"Wiley","doi":"10.1002/pamm.202300126","title":"A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests"},{"citation":{"ama":"Moritzer E, Hecker F. Adaptive Scaling of Components in the Fused Deposition Modeling Process. <i>Macromolecular Symposia</i>. 2023;411(1). doi:<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>","ieee":"E. Moritzer and F. Hecker, “Adaptive Scaling of Components in the Fused Deposition Modeling Process,” <i>Macromolecular Symposia</i>, vol. 411, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>.","chicago":"Moritzer, Elmar, and Felix Hecker. “Adaptive Scaling of Components in the Fused Deposition Modeling Process.” <i>Macromolecular Symposia</i> 411, no. 1 (2023). <a href=\"https://doi.org/10.1002/masy.202200181\">https://doi.org/10.1002/masy.202200181</a>.","apa":"Moritzer, E., &#38; Hecker, F. (2023). Adaptive Scaling of Components in the Fused Deposition Modeling Process. <i>Macromolecular Symposia</i>, <i>411</i>(1). <a href=\"https://doi.org/10.1002/masy.202200181\">https://doi.org/10.1002/masy.202200181</a>","short":"E. Moritzer, F. Hecker, Macromolecular Symposia 411 (2023).","bibtex":"@article{Moritzer_Hecker_2023, title={Adaptive Scaling of Components in the Fused Deposition Modeling Process}, volume={411}, DOI={<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>}, number={1}, journal={Macromolecular Symposia}, publisher={Wiley}, author={Moritzer, Elmar and Hecker, Felix}, year={2023} }","mla":"Moritzer, Elmar, and Felix Hecker. “Adaptive Scaling of Components in the Fused Deposition Modeling Process.” <i>Macromolecular Symposia</i>, vol. 411, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/masy.202200181\">10.1002/masy.202200181</a>."},"intvolume":"       411","year":"2023","issue":"1","publication_status":"published","publication_identifier":{"issn":["1022-1360","1521-3900"]},"quality_controlled":"1","doi":"10.1002/masy.202200181","title":"Adaptive Scaling of Components in the Fused Deposition Modeling Process","author":[{"first_name":"Elmar","last_name":"Moritzer","id":"20531","full_name":"Moritzer, Elmar"},{"first_name":"Felix","last_name":"Hecker","id":"45537","full_name":"Hecker, Felix"}],"date_created":"2024-03-25T09:16:46Z","volume":411,"date_updated":"2024-03-25T09:17:03Z","publisher":"Wiley","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Currently, the fused deposition modeling (FDM) process is the most common additive manufacturing technology. The principle of the FDM process is the strand wise deposition of molten thermoplastic polymers, by feeding a filament trough a heated nozzle. Due to the strand and layer wise deposition the cooling of the manufactured component is not uniform. This leads to dimensional deviations which may cause the component to be unusable for the desired application. In this paper, a method is described which is based on the shrinkage compensation through the adaption of every single raster line in components manufactured with the FDM process. The shrinkage compensation is based on a model resulting from a DOE which considers the main influencing factors on the shrinkage behavior of raster lines in the FDM process. An in‐house developed software analyzes the component and locally applies the shrinkage compensation with consideration of the boundary conditions, e.g., the position of the raster line in the component and the process parameters. Following, a validation using a simple geometry is conducted to show the effect of the presented adaptive scaling method.</jats:p>"}],"type":"journal_article","publication":"Macromolecular Symposia","language":[{"iso":"eng"}],"keyword":["Materials Chemistry","Polymers and Plastics","Organic Chemistry","Condensed Matter Physics"],"user_id":"44116","department":[{"_id":"9"},{"_id":"367"},{"_id":"321"}],"_id":"52802"},{"publication":"Combustion and Flame","type":"journal_article","status":"public","_id":"53074","department":[{"_id":"728"}],"user_id":"94562","keyword":["General Physics and Astronomy","Energy Engineering and Power Technology","Fuel Technology","General Chemical Engineering","General Chemistry"],"article_number":"112820","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0010-2180"]},"publication_status":"published","year":"2023","intvolume":"       257","citation":{"short":"T. Kasper, N. Hansen, Combustion and Flame 257 (2023).","bibtex":"@article{Kasper_Hansen_2023, title={Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames}, volume={257}, DOI={<a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">10.1016/j.combustflame.2023.112820</a>}, number={112820}, journal={Combustion and Flame}, publisher={Elsevier BV}, author={Kasper, Tina and Hansen, Nils}, year={2023} }","mla":"Kasper, Tina, and Nils Hansen. “Resonance Enhanced Multiphoton Ionization Detection of Aromatics Formation in Fuel-Rich Flames.” <i>Combustion and Flame</i>, vol. 257, 112820, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">10.1016/j.combustflame.2023.112820</a>.","apa":"Kasper, T., &#38; Hansen, N. (2023). Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames. <i>Combustion and Flame</i>, <i>257</i>, Article 112820. <a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">https://doi.org/10.1016/j.combustflame.2023.112820</a>","chicago":"Kasper, Tina, and Nils Hansen. “Resonance Enhanced Multiphoton Ionization Detection of Aromatics Formation in Fuel-Rich Flames.” <i>Combustion and Flame</i> 257 (2023). <a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">https://doi.org/10.1016/j.combustflame.2023.112820</a>.","ieee":"T. Kasper and N. Hansen, “Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames,” <i>Combustion and Flame</i>, vol. 257, Art. no. 112820, 2023, doi: <a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">10.1016/j.combustflame.2023.112820</a>.","ama":"Kasper T, Hansen N. Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames. <i>Combustion and Flame</i>. 2023;257. doi:<a href=\"https://doi.org/10.1016/j.combustflame.2023.112820\">10.1016/j.combustflame.2023.112820</a>"},"publisher":"Elsevier BV","date_updated":"2024-03-27T16:23:48Z","volume":257,"author":[{"first_name":"Tina","last_name":"Kasper","full_name":"Kasper, Tina"},{"first_name":"Nils","last_name":"Hansen","full_name":"Hansen, Nils"}],"date_created":"2024-03-27T16:07:31Z","title":"Resonance enhanced multiphoton ionization detection of aromatics formation in fuel-rich flames","doi":"10.1016/j.combustflame.2023.112820"},{"citation":{"ama":"Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>. Published online 2023. doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>","chicago":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, 2023. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>.","ieee":"M. Winkler, “A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>, 2023, doi: <a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>.","apa":"Winkler, M. (2023). A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>","bibtex":"@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, DOI={<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023} }","short":"M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023).","mla":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>."},"year":"2023","publication_identifier":{"issn":["0294-1449","1873-1430"]},"publication_status":"published","doi":"10.4171/aihpc/73","title":"A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion","date_created":"2024-04-07T12:34:35Z","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_updated":"2024-04-07T12:36:00Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","status":"public","publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Analysis","Applied Mathematics"],"user_id":"31496","_id":"53320"},{"citation":{"apa":"Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. <i>Nonlinearity</i>, <i>36</i>(8), 4438–4469. <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">https://doi.org/10.1088/1361-6544/ace22e</a>","mla":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i>, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>.","short":"M. Winkler, Nonlinearity 36 (2023) 4438–4469.","bibtex":"@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }","chicago":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i> 36, no. 8 (2023): 4438–69. <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">https://doi.org/10.1088/1361-6544/ace22e</a>.","ieee":"M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction,” <i>Nonlinearity</i>, vol. 36, no. 8, pp. 4438–4469, 2023, doi: <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>.","ama":"Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. <i>Nonlinearity</i>. 2023;36(8):4438-4469. doi:<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>"},"page":"4438-4469","intvolume":"        36","year":"2023","issue":"8","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"doi":"10.1088/1361-6544/ace22e","title":"Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction","date_created":"2024-04-07T12:56:35Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":36,"publisher":"IOP Publishing","date_updated":"2024-04-07T12:56:40Z","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>A no-flux initial-boundary value problem for<jats:disp-formula id=\"nonace22eueqn1\"><jats:tex-math><?CDATA \\begin{align*} \\begin{cases} u_t = \\Delta \\big(u\\phi(v)\\big), \\\\[1mm] v_t = \\Delta v-uv, \\end{cases} \\qquad \\qquad (\\star) \\end{align*}?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"block\" overflow=\"scroll\"><mml:mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em\" rowspacing=\"3pt\"><mml:mtr><mml:mtd><mml:mfenced close=\"\" open=\"{\"><mml:mtable columnalign=\"left left\" columnspacing=\"1em\" rowspacing=\".1em\"><mml:mtr><mml:mtd><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mrow><mml:mo maxsize=\"1.2em\" minsize=\"1.2em\">(</mml:mo></mml:mrow><mml:mi>u</mml:mi><mml:mi>ϕ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>v</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo maxsize=\"1.2em\" minsize=\"1.2em\">)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mi>v</mml:mi><mml:mo>−</mml:mo><mml:mi>u</mml:mi><mml:mi>v</mml:mi><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋆</mml:mo><mml:mo stretchy=\"false\">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" orientation=\"portrait\" position=\"float\" xlink:href=\"nonace22eueqn1.gif\" xlink:type=\"simple\" /></jats:disp-formula>is considered in smoothly bounded subdomains of<jats:inline-formula><jats:tex-math><?CDATA $\\mathbb{R}^n$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn1.gif\" xlink:type=\"simple\" /></jats:inline-formula>with<jats:inline-formula><jats:tex-math><?CDATA $n\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn2.gif\" xlink:type=\"simple\" /></jats:inline-formula>and suitably regular initial data, where<jats:italic>φ</jats:italic>is assumed to reflect algebraic type cross-degeneracies by sharing essential features with<jats:inline-formula><jats:tex-math><?CDATA $0\\leqslant \\xi\\mapsto \\xi^\\alpha$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mn>0</mml:mn><mml:mo>⩽</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy=\"false\">↦</mml:mo><mml:msup><mml:mi>ξ</mml:mi><mml:mi>α</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn3.gif\" xlink:type=\"simple\" /></jats:inline-formula>for some<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn4.gif\" xlink:type=\"simple\" /></jats:inline-formula>. Based on the discovery of a gradient structure acting at regularity levels mild enough to be consistent with degeneracy-driven limitations of smoothness information, in this general setting it is shown that with some measurable limit profile<jats:inline-formula><jats:tex-math><?CDATA $u_\\infty$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msub></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn5.gif\" xlink:type=\"simple\" /></jats:inline-formula>and some null set<jats:inline-formula><jats:tex-math><?CDATA $N_\\star\\subset (0,\\infty)$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>⊂</mml:mo><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn6.gif\" xlink:type=\"simple\" /></jats:inline-formula>, a corresponding global generalized solution, known to exist according to recent literature, satisfies<jats:disp-formula id=\"nonace22eueqn2\"><jats:tex-math><?CDATA \\begin{align*} \\rho(u(\\cdot,t))\\stackrel{\\star}{\\rightharpoonup} \\rho(u_\\infty) \\quad \\textrm{in } L^\\infty(\\Omega) \\quad\\;\\; \\textrm{ and } \\quad\\;\\; v(\\cdot,t)\\to 0 \\quad \\textrm{in } L^p(\\Omega)\\; \\textrm{for all } p\\geqslant 1 \\end{align*}?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"block\" overflow=\"scroll\"><mml:mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em\" rowspacing=\"3pt\"><mml:mtr><mml:mtd><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mover><mml:mrow><mml:mo stretchy=\"false\">⇀</mml:mo></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msub><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msup><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"normal\">Ω</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext> and </mml:mtext></mml:mrow><mml:mi>v</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo stretchy=\"false\">→</mml:mo><mml:mn>0</mml:mn><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"normal\">Ω</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext>for all </mml:mtext></mml:mrow><mml:mi>p</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" orientation=\"portrait\" position=\"float\" xlink:href=\"nonace22eueqn2.gif\" xlink:type=\"simple\" /></jats:disp-formula>as<jats:inline-formula><jats:tex-math><?CDATA $(0,\\infty)\\setminus N_\\star \\ni t\\to \\infty$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>∖</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>∋</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn7.gif\" xlink:type=\"simple\" /></jats:inline-formula>, where<jats:inline-formula><jats:tex-math><?CDATA $\\rho(\\xi): = \\frac{\\xi^2}{(\\xi+1)^2}$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>:=</mml:mo><mml:mfrac><mml:msup><mml:mi>ξ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mrow><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn8.gif\" xlink:type=\"simple\" /></jats:inline-formula>,<jats:inline-formula><jats:tex-math><?CDATA $\\xi\\geqslant 0$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>ξ</mml:mi><mml:mo>⩾</mml:mo><mml:mn>0</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn9.gif\" xlink:type=\"simple\" /></jats:inline-formula>. In the particular case when either<jats:inline-formula><jats:tex-math><?CDATA $n\\leqslant 2$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩽</mml:mo><mml:mn>2</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn10.gif\" xlink:type=\"simple\" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn11.gif\" xlink:type=\"simple\" /></jats:inline-formula>is arbitrary, or<jats:inline-formula><jats:tex-math><?CDATA $n\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn12.gif\" xlink:type=\"simple\" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\in [1,2]$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy=\"false\">[</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">]</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn13.gif\" xlink:type=\"simple\" /></jats:inline-formula>, additional quantitative information on the deviation of trajectories from the initial data is derived. This is found to imply a lower estimate for the spatial oscillation of the respective first components throughout evolution, and moreover this is seen to entail that each of the uncountably many steady states<jats:inline-formula><jats:tex-math><?CDATA $(u_\\star,0)$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn14.gif\" xlink:type=\"simple\" /></jats:inline-formula>of (<jats:inline-formula><jats:tex-math><?CDATA $\\star$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo>⋆</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn15.gif\" xlink:type=\"simple\" /></jats:inline-formula>) is stable with respect to a suitably chosen norm topology.</jats:p>","lang":"eng"}],"type":"journal_article","publication":"Nonlinearity","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"user_id":"31496","_id":"53345"},{"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.</jats:p>"}],"status":"public","type":"journal_article","publication":"Annales Henri Poincaré","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"_id":"53410","user_id":"70575","department":[{"_id":"548"}],"year":"2023","citation":{"short":"B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.","mla":"Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","bibtex":"@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }","apa":"Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>, <i>25</i>(2), 1607–1656. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>","chicago":"Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>.","ieee":"B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, pp. 1607–1656, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","ama":"Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656. doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>"},"page":"1607-1656","intvolume":"        25","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"issue":"2","title":"Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models","doi":"10.1007/s00023-023-01379-x","publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-11T12:37:34Z","date_created":"2024-04-11T12:30:14Z","author":[{"first_name":"Benjamin","id":"70575","full_name":"Delarue, Benjamin","last_name":"Delarue"},{"last_name":"Schütte","full_name":"Schütte, Philipp","id":"50168","first_name":"Philipp"},{"full_name":"Weich, Tobias","id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias"}],"volume":25},{"quality_controlled":"1","issue":"12","year":"2023","publisher":"American Chemical Society (ACS)","date_created":"2023-12-13T14:11:41Z","title":"Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design","publication":"ACS Photonics","abstract":[{"lang":"eng","text":"In this work, we utilize thin dielectric meta-atoms placed on a silver substrate to efficiently enhance and manipulate the third-harmonic generation. We theoretically and experimentally reveal that when the structural symmetry of the meta-atom is incompatible with the lattice symmetry of an array, some generalized nonlinear geometric phases appear, which offers new possibilities for harmonic generation control beyond the accessible symmetries governed by the selection rule. The underlying mechanism is attributed to the modified rotation of the effective principal axis of a dense meta-atom array, where the strong coupling among the units gives rise to a generalized linear geometric phase modulation of the pump light. Therefore, nonlinear geometric phases carried by third-harmonic emissions are the natural result of the wave-mixing process among the modes excited at the fundamental frequency. This mechanism further points out a new strategy to predict the nonlinear geometric phases delivered by the nanostructures according to their linear responses. Our design is simple and efficient and offers alternatives for the nonlinear meta-devices that are capable of flexible photon generation and manipulation."}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics","Biotechnology","Electronic","Optical and Magnetic Materials"],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["2330-4022","2330-4022"]},"citation":{"chicago":"Liu, Bingyi, René Geromel, Zhaoxian Su, Kai Guo, Yongtian Wang, Zhongyi Guo, Lingling Huang, and Thomas Zentgraf. “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design.” <i>ACS Photonics</i> 10, no. 12 (2023): 4357–66. <a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">https://doi.org/10.1021/acsphotonics.3c01163</a>.","ieee":"B. Liu <i>et al.</i>, “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design,” <i>ACS Photonics</i>, vol. 10, no. 12, pp. 4357–4366, 2023, doi: <a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">10.1021/acsphotonics.3c01163</a>.","ama":"Liu B, Geromel R, Su Z, et al. Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design. <i>ACS Photonics</i>. 2023;10(12):4357-4366. doi:<a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">10.1021/acsphotonics.3c01163</a>","short":"B. Liu, R. Geromel, Z. Su, K. Guo, Y. Wang, Z. Guo, L. Huang, T. Zentgraf, ACS Photonics 10 (2023) 4357–4366.","bibtex":"@article{Liu_Geromel_Su_Guo_Wang_Guo_Huang_Zentgraf_2023, title={Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design}, volume={10}, DOI={<a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">10.1021/acsphotonics.3c01163</a>}, number={12}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Liu, Bingyi and Geromel, René and Su, Zhaoxian and Guo, Kai and Wang, Yongtian and Guo, Zhongyi and Huang, Lingling and Zentgraf, Thomas}, year={2023}, pages={4357–4366} }","mla":"Liu, Bingyi, et al. “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design.” <i>ACS Photonics</i>, vol. 10, no. 12, American Chemical Society (ACS), 2023, pp. 4357–66, doi:<a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">10.1021/acsphotonics.3c01163</a>.","apa":"Liu, B., Geromel, R., Su, Z., Guo, K., Wang, Y., Guo, Z., Huang, L., &#38; Zentgraf, T. (2023). Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design. <i>ACS Photonics</i>, <i>10</i>(12), 4357–4366. <a href=\"https://doi.org/10.1021/acsphotonics.3c01163\">https://doi.org/10.1021/acsphotonics.3c01163</a>"},"intvolume":"        10","page":"4357-4366","oa":"1","date_updated":"2024-04-16T06:47:40Z","author":[{"full_name":"Liu, Bingyi","last_name":"Liu","first_name":"Bingyi"},{"last_name":"Geromel","full_name":"Geromel, René","first_name":"René"},{"first_name":"Zhaoxian","last_name":"Su","full_name":"Su, Zhaoxian"},{"first_name":"Kai","last_name":"Guo","full_name":"Guo, Kai"},{"last_name":"Wang","full_name":"Wang, Yongtian","first_name":"Yongtian"},{"first_name":"Zhongyi","full_name":"Guo, Zhongyi","last_name":"Guo"},{"first_name":"Lingling","full_name":"Huang, Lingling","last_name":"Huang"},{"first_name":"Thomas","full_name":"Zentgraf, Thomas","id":"30525","last_name":"Zentgraf","orcid":"0000-0002-8662-1101"}],"volume":10,"main_file_link":[{"url":"https://pubs.acs.org/doi/full/10.1021/acsphotonics.3c01163","open_access":"1"}],"doi":"10.1021/acsphotonics.3c01163","type":"journal_article","status":"public","project":[{"grant_number":"231447078","name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","_id":"170"},{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53","grant_number":"231447078"}],"_id":"49607","user_id":"30525","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"article_type":"original","funded_apc":"1"},{"date_updated":"2024-05-22T14:29:39Z","author":[{"full_name":"Schwind, Bertram","last_name":"Schwind","first_name":"Bertram"},{"first_name":"Xia","full_name":"Wu, Xia","last_name":"Wu"},{"first_name":"Michael","orcid":"0000-0003-1711-2722","last_name":"Tiemann","full_name":"Tiemann, Michael","id":"23547"},{"first_name":"Helge-Otto","last_name":"Fabritius","full_name":"Fabritius, Helge-Otto"}],"volume":40,"doi":"10.1364/josab.474899","publication_status":"published","publication_identifier":{"issn":["0740-3224","1520-8540"]},"citation":{"ieee":"B. Schwind, X. Wu, M. Tiemann, and H.-O. Fabritius, “Broadband Mie scattering effects by structural features of setae from the Saharan silver ant Cataglyphis bombycina,” <i>Journal of the Optical Society of America B</i>, vol. 40, no. 3, pp. B49–B58, 2023, doi: <a href=\"https://doi.org/10.1364/josab.474899\">10.1364/josab.474899</a>.","chicago":"Schwind, Bertram, Xia Wu, Michael Tiemann, and Helge-Otto Fabritius. “Broadband Mie Scattering Effects by Structural Features of Setae from the Saharan Silver Ant Cataglyphis Bombycina.” <i>Journal of the Optical Society of America B</i> 40, no. 3 (2023): B49–58. <a href=\"https://doi.org/10.1364/josab.474899\">https://doi.org/10.1364/josab.474899</a>.","ama":"Schwind B, Wu X, Tiemann M, Fabritius H-O. Broadband Mie scattering effects by structural features of setae from the Saharan silver ant Cataglyphis bombycina. <i>Journal of the Optical Society of America B</i>. 2023;40(3):B49-B58. doi:<a href=\"https://doi.org/10.1364/josab.474899\">10.1364/josab.474899</a>","short":"B. Schwind, X. Wu, M. Tiemann, H.-O. Fabritius, Journal of the Optical Society of America B 40 (2023) B49–B58.","mla":"Schwind, Bertram, et al. “Broadband Mie Scattering Effects by Structural Features of Setae from the Saharan Silver Ant Cataglyphis Bombycina.” <i>Journal of the Optical Society of America B</i>, vol. 40, no. 3, Optica Publishing Group, 2023, pp. B49–58, doi:<a href=\"https://doi.org/10.1364/josab.474899\">10.1364/josab.474899</a>.","bibtex":"@article{Schwind_Wu_Tiemann_Fabritius_2023, title={Broadband Mie scattering effects by structural features of setae from the Saharan silver ant Cataglyphis bombycina}, volume={40}, DOI={<a href=\"https://doi.org/10.1364/josab.474899\">10.1364/josab.474899</a>}, number={3}, journal={Journal of the Optical Society of America B}, publisher={Optica Publishing Group}, author={Schwind, Bertram and Wu, Xia and Tiemann, Michael and Fabritius, Helge-Otto}, year={2023}, pages={B49–B58} }","apa":"Schwind, B., Wu, X., Tiemann, M., &#38; Fabritius, H.-O. (2023). Broadband Mie scattering effects by structural features of setae from the Saharan silver ant Cataglyphis bombycina. <i>Journal of the Optical Society of America B</i>, <i>40</i>(3), B49–B58. <a href=\"https://doi.org/10.1364/josab.474899\">https://doi.org/10.1364/josab.474899</a>"},"page":"B49 - B58","intvolume":"        40","_id":"42679","user_id":"23547","department":[{"_id":"35"},{"_id":"2"},{"_id":"307"},{"_id":"230"}],"article_type":"original","type":"journal_article","status":"public","publisher":"Optica Publishing Group","date_created":"2023-03-02T17:48:38Z","title":"Broadband Mie scattering effects by structural features of setae from the Saharan silver ant Cataglyphis bombycina","quality_controlled":"1","issue":"3","year":"2023","keyword":["Atomic and Molecular Physics","and Optics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Journal of the Optical Society of America B","abstract":[{"lang":"eng","text":"The Saharan desert ant Cataglyphis bombycina is densely covered with shiny silver setae (hair-like structures). Their appearance was explained by geometric optics and total internal reflection. The setae also increase the emissivity of the ant, as they form an effective medium. This work provides additional data on microstructural details of the setae that are used to simulate the scattering of an individual seta to explain their influence on the optical properties. This is achieved by characterization of their structure using light microscopy and scanning/transmission electron microscopy. How the microstructural features influence scattering is investigated wave-optically within the limits of finite-difference time-domain simulations from the ultraviolet to the mid-infrared spectral range to elucidate the optical effects beyond ray optics and effective medium theory. The results show that Mie scattering plays an important role in protecting the ant from solar radiation and could be relevant for its thermal tolerance."}]},{"language":[{"iso":"eng"}],"article_number":"014072","keyword":["General Physics and Astronomy"],"user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"project":[{"name":"TRR 142 - C01: TRR 142 - Subproject C01","_id":"71"}],"_id":"42158","status":"public","type":"journal_article","publication":"Physical Review Applied","doi":"10.1103/physrevapplied.19.014072","title":"Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras","date_created":"2023-02-15T10:50:17Z","author":[{"full_name":"Lüders, Carolin","last_name":"Lüders","first_name":"Carolin"},{"last_name":"Gil-Lopez","full_name":"Gil-Lopez, Jano","first_name":"Jano"},{"first_name":"Markus","full_name":"Allgaier, Markus","last_name":"Allgaier"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","id":"27150","orcid":"0000-0003-4140-0556 ","last_name":"Brecht"},{"last_name":"Aßmann","full_name":"Aßmann, Marc","first_name":"Marc"},{"last_name":"Silberhorn","id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine"},{"full_name":"Bayer, Manfred","last_name":"Bayer","first_name":"Manfred"}],"volume":19,"date_updated":"2023-02-15T10:51:33Z","publisher":"American Physical Society (APS)","citation":{"short":"C. Lüders, J. Gil-Lopez, M. Allgaier, B. Brecht, M. Aßmann, C. Silberhorn, M. Bayer, Physical Review Applied 19 (2023).","bibtex":"@article{Lüders_Gil-Lopez_Allgaier_Brecht_Aßmann_Silberhorn_Bayer_2023, title={Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras}, volume={19}, DOI={<a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">10.1103/physrevapplied.19.014072</a>}, number={1014072}, journal={Physical Review Applied}, publisher={American Physical Society (APS)}, author={Lüders, Carolin and Gil-Lopez, Jano and Allgaier, Markus and Brecht, Benjamin and Aßmann, Marc and Silberhorn, Christine and Bayer, Manfred}, year={2023} }","mla":"Lüders, Carolin, et al. “Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras.” <i>Physical Review Applied</i>, vol. 19, no. 1, 014072, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">10.1103/physrevapplied.19.014072</a>.","apa":"Lüders, C., Gil-Lopez, J., Allgaier, M., Brecht, B., Aßmann, M., Silberhorn, C., &#38; Bayer, M. (2023). Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras. <i>Physical Review Applied</i>, <i>19</i>(1), Article 014072. <a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">https://doi.org/10.1103/physrevapplied.19.014072</a>","ieee":"C. Lüders <i>et al.</i>, “Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras,” <i>Physical Review Applied</i>, vol. 19, no. 1, Art. no. 014072, 2023, doi: <a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">10.1103/physrevapplied.19.014072</a>.","chicago":"Lüders, Carolin, Jano Gil-Lopez, Markus Allgaier, Benjamin Brecht, Marc Aßmann, Christine Silberhorn, and Manfred Bayer. “Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras.” <i>Physical Review Applied</i> 19, no. 1 (2023). <a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">https://doi.org/10.1103/physrevapplied.19.014072</a>.","ama":"Lüders C, Gil-Lopez J, Allgaier M, et al. Tailored Frequency Conversion Makes Infrared Light Visible for Streak Cameras. <i>Physical Review Applied</i>. 2023;19(1). doi:<a href=\"https://doi.org/10.1103/physrevapplied.19.014072\">10.1103/physrevapplied.19.014072</a>"},"intvolume":"        19","year":"2023","issue":"1","publication_status":"published","publication_identifier":{"issn":["2331-7019"]}}]