[{"year":"2014","issue":"3","title":"Formation and interaction of resonance chains in the open three-disk system","publisher":"IOP Publishing","date_created":"2022-05-17T12:59:49Z","publication":"New Journal of Physics","keyword":["General Physics and Astronomy"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["1311.5128 "]},"intvolume":"        16","citation":{"mla":"Weich, Tobias, et al. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i>, vol. 16, no. 3, 033029, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>.","bibtex":"@article{Weich_Barkhofen_Kuhl_Poli_Schomerus_2014, title={Formation and interaction of resonance chains in the open three-disk system}, volume={16}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>}, number={3033029}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}, year={2014} }","short":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014).","apa":"Weich, T., Barkhofen, S., Kuhl, U., Poli, C., &#38; Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>, <i>16</i>(3), Article 033029. <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>","ama":"Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>. 2014;16(3). doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>","ieee":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, and H. Schomerus, “Formation and interaction of resonance chains in the open three-disk system,” <i>New Journal of Physics</i>, vol. 16, no. 3, Art. no. 033029, 2014, doi: <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>.","chicago":"Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i> 16, no. 3 (2014). <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>."},"publication_identifier":{"issn":["1367-2630"]},"publication_status":"published","doi":"10.1088/1367-2630/16/3/033029","date_updated":"2023-01-24T08:07:57Z","volume":16,"author":[{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich"},{"full_name":"Barkhofen, Sonja","id":"48188","last_name":"Barkhofen","first_name":"Sonja"},{"first_name":"U","last_name":"Kuhl","full_name":"Kuhl, U"},{"first_name":"C","full_name":"Poli, C","last_name":"Poli"},{"full_name":"Schomerus, H","last_name":"Schomerus","first_name":"H"}],"status":"public","type":"journal_article","article_number":"033029","_id":"31297","department":[{"_id":"10"},{"_id":"548"}],"user_id":"48188"},{"author":[{"first_name":"Sonja","last_name":"Barkhofen","id":"48188","full_name":"Barkhofen, Sonja"},{"first_name":"M.","full_name":"Bellec, M.","last_name":"Bellec"},{"full_name":"Kuhl, U.","last_name":"Kuhl","first_name":"U."},{"first_name":"F.","last_name":"Mortessagne","full_name":"Mortessagne, F."}],"date_created":"2021-10-19T06:59:46Z","date_updated":"2022-01-06T06:57:21Z","doi":"10.1103/physrevb.87.035101","title":"Disordered graphene and boron nitride in a microwave tight-binding analog","publication_identifier":{"issn":["1098-0121","1550-235X"]},"publication_status":"published","citation":{"chicago":"Barkhofen, Sonja, M. Bellec, U. Kuhl, and F. Mortessagne. “Disordered Graphene and Boron Nitride in a Microwave Tight-Binding Analog.” <i>Physical Review B</i>, 2013. <a href=\"https://doi.org/10.1103/physrevb.87.035101\">https://doi.org/10.1103/physrevb.87.035101</a>.","ieee":"S. Barkhofen, M. Bellec, U. Kuhl, and F. Mortessagne, “Disordered graphene and boron nitride in a microwave tight-binding analog,” <i>Physical Review B</i>, 2013, doi: <a href=\"https://doi.org/10.1103/physrevb.87.035101\">10.1103/physrevb.87.035101</a>.","ama":"Barkhofen S, Bellec M, Kuhl U, Mortessagne F. Disordered graphene and boron nitride in a microwave tight-binding analog. <i>Physical Review B</i>. Published online 2013. doi:<a href=\"https://doi.org/10.1103/physrevb.87.035101\">10.1103/physrevb.87.035101</a>","short":"S. Barkhofen, M. Bellec, U. Kuhl, F. Mortessagne, Physical Review B (2013).","mla":"Barkhofen, Sonja, et al. “Disordered Graphene and Boron Nitride in a Microwave Tight-Binding Analog.” <i>Physical Review B</i>, 2013, doi:<a href=\"https://doi.org/10.1103/physrevb.87.035101\">10.1103/physrevb.87.035101</a>.","bibtex":"@article{Barkhofen_Bellec_Kuhl_Mortessagne_2013, title={Disordered graphene and boron nitride in a microwave tight-binding analog}, DOI={<a href=\"https://doi.org/10.1103/physrevb.87.035101\">10.1103/physrevb.87.035101</a>}, journal={Physical Review B}, author={Barkhofen, Sonja and Bellec, M. and Kuhl, U. and Mortessagne, F.}, year={2013} }","apa":"Barkhofen, S., Bellec, M., Kuhl, U., &#38; Mortessagne, F. (2013). Disordered graphene and boron nitride in a microwave tight-binding analog. <i>Physical Review B</i>. <a href=\"https://doi.org/10.1103/physrevb.87.035101\">https://doi.org/10.1103/physrevb.87.035101</a>"},"year":"2013","user_id":"48188","_id":"26497","language":[{"iso":"eng"}],"publication":"Physical Review B","type":"journal_article","status":"public"},{"citation":{"bibtex":"@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>}, journal={Physical Review Letters}, author={Barkhofen, Sonja and Weich, T. and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }","short":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters (2013).","mla":"Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i>, 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","apa":"Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., &#38; Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>","ama":"Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>. Published online 2013. doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>","chicago":"Barkhofen, Sonja, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i>, 2013. <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>.","ieee":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski, “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” <i>Physical Review Letters</i>, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>."},"year":"2013","publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","doi":"10.1103/physrevlett.110.164102","title":"Experimental Observation of the Spectral Gap in Microwave n-Disk Systems","author":[{"first_name":"Sonja","last_name":"Barkhofen","id":"48188","full_name":"Barkhofen, Sonja"},{"last_name":"Weich","full_name":"Weich, T.","first_name":"T."},{"last_name":"Potzuweit","full_name":"Potzuweit, A.","first_name":"A."},{"first_name":"H.-J.","full_name":"Stöckmann, H.-J.","last_name":"Stöckmann"},{"first_name":"U.","full_name":"Kuhl, U.","last_name":"Kuhl"},{"first_name":"M.","last_name":"Zworski","full_name":"Zworski, M."}],"date_created":"2021-10-19T07:04:50Z","date_updated":"2022-01-06T06:57:21Z","status":"public","publication":"Physical Review Letters","type":"journal_article","language":[{"iso":"eng"}],"user_id":"48188","_id":"26504"},{"publication_status":"published","publication_identifier":{"issn":["0031-9007","1079-7114"]},"citation":{"ieee":"J. A. Franco-Villafañe, E. Sadurní, S. Barkhofen, U. Kuhl, F. Mortessagne, and T. H. Seligman, “First Experimental Realization of the Dirac Oscillator,” <i>Physical Review Letters</i>, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.111.170405\">10.1103/physrevlett.111.170405</a>.","chicago":"Franco-Villafañe, J. A., E. Sadurní, Sonja Barkhofen, U. Kuhl, F. Mortessagne, and T. H. Seligman. “First Experimental Realization of the Dirac Oscillator.” <i>Physical Review Letters</i>, 2013. <a href=\"https://doi.org/10.1103/physrevlett.111.170405\">https://doi.org/10.1103/physrevlett.111.170405</a>.","ama":"Franco-Villafañe JA, Sadurní E, Barkhofen S, Kuhl U, Mortessagne F, Seligman TH. First Experimental Realization of the Dirac Oscillator. <i>Physical Review Letters</i>. Published online 2013. doi:<a href=\"https://doi.org/10.1103/physrevlett.111.170405\">10.1103/physrevlett.111.170405</a>","apa":"Franco-Villafañe, J. A., Sadurní, E., Barkhofen, S., Kuhl, U., Mortessagne, F., &#38; Seligman, T. H. (2013). First Experimental Realization of the Dirac Oscillator. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.111.170405\">https://doi.org/10.1103/physrevlett.111.170405</a>","mla":"Franco-Villafañe, J. A., et al. “First Experimental Realization of the Dirac Oscillator.” <i>Physical Review Letters</i>, 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.111.170405\">10.1103/physrevlett.111.170405</a>.","short":"J.A. Franco-Villafañe, E. Sadurní, S. Barkhofen, U. Kuhl, F. Mortessagne, T.H. Seligman, Physical Review Letters (2013).","bibtex":"@article{Franco-Villafañe_Sadurní_Barkhofen_Kuhl_Mortessagne_Seligman_2013, title={First Experimental Realization of the Dirac Oscillator}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.111.170405\">10.1103/physrevlett.111.170405</a>}, journal={Physical Review Letters}, author={Franco-Villafañe, J. A. and Sadurní, E. and Barkhofen, Sonja and Kuhl, U. and Mortessagne, F. and Seligman, T. H.}, year={2013} }"},"year":"2013","date_created":"2021-10-19T07:06:02Z","author":[{"full_name":"Franco-Villafañe, J. A.","last_name":"Franco-Villafañe","first_name":"J. A."},{"last_name":"Sadurní","full_name":"Sadurní, E.","first_name":"E."},{"first_name":"Sonja","last_name":"Barkhofen","id":"48188","full_name":"Barkhofen, Sonja"},{"full_name":"Kuhl, U.","last_name":"Kuhl","first_name":"U."},{"full_name":"Mortessagne, F.","last_name":"Mortessagne","first_name":"F."},{"first_name":"T. H.","full_name":"Seligman, T. H.","last_name":"Seligman"}],"date_updated":"2022-01-06T06:57:21Z","doi":"10.1103/physrevlett.111.170405","title":"First Experimental Realization of the Dirac Oscillator","type":"journal_article","publication":"Physical Review Letters","status":"public","user_id":"48188","_id":"26505","language":[{"iso":"eng"}]},{"publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","year":"2013","citation":{"bibtex":"@article{Barkhofen_Metzger_Fleischmann_Kuhl_Stöckmann_2013, title={Experimental Observation of a Fundamental Length Scale of Waves in Random Media}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.111.183902\">10.1103/physrevlett.111.183902</a>}, journal={Physical Review Letters}, author={Barkhofen, Sonja and Metzger, J. J. and Fleischmann, R. and Kuhl, U. and Stöckmann, H.-J.}, year={2013} }","mla":"Barkhofen, Sonja, et al. “Experimental Observation of a Fundamental Length Scale of Waves in Random Media.” <i>Physical Review Letters</i>, 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.111.183902\">10.1103/physrevlett.111.183902</a>.","short":"S. Barkhofen, J.J. Metzger, R. Fleischmann, U. Kuhl, H.-J. Stöckmann, Physical Review Letters (2013).","apa":"Barkhofen, S., Metzger, J. J., Fleischmann, R., Kuhl, U., &#38; Stöckmann, H.-J. (2013). Experimental Observation of a Fundamental Length Scale of Waves in Random Media. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.111.183902\">https://doi.org/10.1103/physrevlett.111.183902</a>","ieee":"S. Barkhofen, J. J. Metzger, R. Fleischmann, U. Kuhl, and H.-J. Stöckmann, “Experimental Observation of a Fundamental Length Scale of Waves in Random Media,” <i>Physical Review Letters</i>, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.111.183902\">10.1103/physrevlett.111.183902</a>.","chicago":"Barkhofen, Sonja, J. J. Metzger, R. Fleischmann, U. Kuhl, and H.-J. Stöckmann. “Experimental Observation of a Fundamental Length Scale of Waves in Random Media.” <i>Physical Review Letters</i>, 2013. <a href=\"https://doi.org/10.1103/physrevlett.111.183902\">https://doi.org/10.1103/physrevlett.111.183902</a>.","ama":"Barkhofen S, Metzger JJ, Fleischmann R, Kuhl U, Stöckmann H-J. Experimental Observation of a Fundamental Length Scale of Waves in Random Media. <i>Physical Review Letters</i>. Published online 2013. doi:<a href=\"https://doi.org/10.1103/physrevlett.111.183902\">10.1103/physrevlett.111.183902</a>"},"date_updated":"2022-01-06T06:57:21Z","date_created":"2021-10-19T07:06:59Z","author":[{"first_name":"Sonja","id":"48188","full_name":"Barkhofen, Sonja","last_name":"Barkhofen"},{"full_name":"Metzger, J. J.","last_name":"Metzger","first_name":"J. J."},{"full_name":"Fleischmann, R.","last_name":"Fleischmann","first_name":"R."},{"last_name":"Kuhl","full_name":"Kuhl, U.","first_name":"U."},{"first_name":"H.-J.","full_name":"Stöckmann, H.-J.","last_name":"Stöckmann"}],"title":"Experimental Observation of a Fundamental Length Scale of Waves in Random Media","doi":"10.1103/physrevlett.111.183902","publication":"Physical Review Letters","type":"journal_article","status":"public","_id":"26506","user_id":"48188","language":[{"iso":"eng"}]},{"publication_status":"published","citation":{"bibtex":"@book{Barkhofen_2013, place={Marburg}, title={Microwave Measurements on n-Disk Systems and Investigation of Branching in correlated Potentials and turbulent Flows}, DOI={<a href=\"https://doi.org/10.17192/Z2013.0457\">10.17192/Z2013.0457</a>}, publisher={Philipps-Universität Marburg}, author={Barkhofen, Sonja}, year={2013} }","mla":"Barkhofen, Sonja. <i>Microwave Measurements on N-Disk Systems and Investigation of Branching in Correlated Potentials and Turbulent Flows</i>. Philipps-Universität Marburg, 2013, doi:<a href=\"https://doi.org/10.17192/Z2013.0457\">10.17192/Z2013.0457</a>.","short":"S. Barkhofen, Microwave Measurements on N-Disk Systems and Investigation of Branching in Correlated Potentials and Turbulent Flows, Philipps-Universität Marburg, Marburg, 2013.","apa":"Barkhofen, S. (2013). <i>Microwave Measurements on n-Disk Systems and Investigation of Branching in correlated Potentials and turbulent Flows</i>. Philipps-Universität Marburg. <a href=\"https://doi.org/10.17192/Z2013.0457\">https://doi.org/10.17192/Z2013.0457</a>","ama":"Barkhofen S. <i>Microwave Measurements on N-Disk Systems and Investigation of Branching in Correlated Potentials and Turbulent Flows</i>. Philipps-Universität Marburg; 2013. doi:<a href=\"https://doi.org/10.17192/Z2013.0457\">10.17192/Z2013.0457</a>","ieee":"S. Barkhofen, <i>Microwave Measurements on n-Disk Systems and Investigation of Branching in correlated Potentials and turbulent Flows</i>. Marburg: Philipps-Universität Marburg, 2013.","chicago":"Barkhofen, Sonja. <i>Microwave Measurements on N-Disk Systems and Investigation of Branching in Correlated Potentials and Turbulent Flows</i>. Marburg: Philipps-Universität Marburg, 2013. <a href=\"https://doi.org/10.17192/Z2013.0457\">https://doi.org/10.17192/Z2013.0457</a>."},"place":"Marburg","year":"2013","author":[{"first_name":"Sonja","id":"48188","full_name":"Barkhofen, Sonja","last_name":"Barkhofen"}],"date_created":"2021-10-19T07:40:40Z","supervisor":[{"first_name":"Ulrich","full_name":"Kuhl, Ulrich","last_name":"Kuhl"}],"publisher":"Philipps-Universität Marburg","date_updated":"2022-01-06T06:57:21Z","doi":"10.17192/Z2013.0457","title":"Microwave Measurements on n-Disk Systems and Investigation of Branching in correlated Potentials and turbulent Flows","type":"dissertation","status":"public","abstract":[{"text":"In dieser Arbeit wird die\r\n      Wellenausbreitung in drei verschiedenen komplexen Systemen\r\n      untersucht. In den ersten beiden geht es um Wellenausbreitung\r\n      in zufälligen Potentialen, einmal in einem Mikrowellenaufbau\r\n      und einmal in einem akustischen Experiment. Der Fokus liegt\r\n      hier auf den nicht-Gaußschen Eigenschaften der Messgrößen.\r\n      Das dritte System ist ein typisches Beispiel für\r\n      vollchaotische offene Systeme mit fraktalem Repeller. Damit\r\n      untersuchen wir die Verbindung zwischen klassischen\r\n      periodischen Bahnen und quantenmechanischen Größen. Im ersten\r\n      Experiment bauen wir in die Mikrowellenkavität ein Potential\r\n      ein, indem wir metallische Streukörper auf der Bodenplatte\r\n      zufällig verteilen. In ortsaufgelösten Messungen können wir\r\n      die gesamte Wellenfunktion untersuchen und finden starke\r\n      Fluktuationen in der Intensität der Wellenfunktion. Besonders\r\n      hohe Intensitäten finden sich dort, wo das analoge klassische\r\n      System Kaustiken ausbildet. Außerdem wird untersucht, in\r\n      welchem Abstand zur Quelle die Verästelungen starker\r\n      Intensität anfangen, und ihre Skalierung bezüglich der\r\n      Eigenschaften des Potentials getestet. Der vorhergesagte\r\n      Exponent von $-2/3$ kann reproduziert werden. Da bei den\r\n      hohen Frequenzen, bei denen gemessen wurde, mehrere Moden in\r\n      der Kavität offen sind, konnten zusätzlich Effekte durch\r\n      Interferenz von Moden und Koppeln zwischen Moden gefunden\r\n      werden, die nicht in den theoretischen Modellen\r\n      berücksichtigt sind. Erst ein störungstheoretischer Ansatz\r\n      für die Helmholtz-Gleichung zeigt für nicht parallele Deckel-\r\n      und Bodenplatte, dass es zusätzliche Quellterme für eine Mode\r\n      durch die jeweils anderen Moden gibt. Dieser Effekt kann in\r\n      dem experimentellen Daten bestätigt werden. Im zweiten\r\n      Experiment mit dem akustischen Aufbau wurde der Schall, der\r\n      von einer turbulenten Luftströmung verursacht wird, gemessen.\r\n      Die Ergebnisse weichen stark von einer Gaußverteilung der\r\n      Intensitäten ab, die der zentrale Grenzwertsatz vorhersagt.\r\n      In einem zweiten Experiment in einem großen Windkanal wird\r\n      zusätzlich ein Ton defnierter Frequenz durch den Luftstrom\r\n      gesendet. Die Hoffnung, aus der Modulation dieses Signals\r\n      Rück-schlüsse auf die Eigenschaften der Turbulenz ziehen zu\r\n      können, wird nicht erfüllt. Aber wieder wird nicht-Gaußsches\r\n      Verhalten gefunden. Für den dritten Teil der Arbeit kommen\r\n      wieder Mikrowellenexperimente zum Einsatz, um ein weiteres\r\n      komplexes System zu erforschen. Das sogenannte\r\n      emph{n}-Scheiben System besteht aus emph{n} gleich-artigen\r\n      Scheiben, die auf einem gleich-seitigen Polygon in einer\r\n      zweidimensionalen Ebene positioniert sind. In solch offenen\r\n      Systemen sind die Resonanzen nicht mehr reell, sondern\r\n      komplex. Diese aus unseren Messdaten zu extrahieren,\r\n      erfordert einen ausgefeilten Algorithmus, die harmonische\r\n      Inversion. Die Herausforderungen der Reso-nanzextrahierung\r\n      werden angesprochen und Lösungsvorschläge diskutiert. Die\r\n      letztendlich erhaltenen Resonanzen werden benutzt, um die\r\n      Zählfunktion der Realteile aufzustellen. Ihr Wachstum ist in\r\n      führender Ordnung durch die Hausdorff-Dimension gegeben. Die\r\n      Verteilung der Imaginärteile wird in Abhängigkeit der Öffnung\r\n      des Systems untersucht. Der größte der aus-schließlich\r\n      negativen Imaginärteile gibt die spektrale Lücke an. Diese\r\n      wird mit den Vorhersagen verglichen, die auf Berechnungen\r\n      über die periodischen Bahnen beruhen. Auch für die\r\n      Abhängigkeit des Maximums der Verteilung von der Öffnung des\r\n      Systems gibt es theoretische Annahmen, die auf ähnlichen\r\n      Berechnungen beruht. Diese konnte ebenfalls unterstützt\r\n      werden. Zusätzlich werden die experimentellen Resonanzen mit\r\n      quantenmechanischen Berechnung verglichen.","lang":"eng"},{"text":"In this work we investigate the\r\n      wave propagation in three different complex systems. In the\r\n      first two systems we focus on the wave propagation through\r\n      random potentials, the first one in a microwave and the\r\n      second one in an acoustic setup. In both systems we focus on\r\n      the non-Gaussian properties of the measured quantities. The\r\n      third system is a paradigmatic example of a fully chaotic\r\n      open system with a fractal repeller. Here the relation of the\r\n      classical periodic orbits and quantum mechanical quantities\r\n      is studied. In the first experiment we induce a potential\r\n      into the microwave cavity by placing randomly distributed\r\n      metallic scatterers on the bottom plate. Spatially resolved\r\n      measurements of the full wave function reveal strong\r\n      intensity fluctuations and a condensation of the wave flow\r\n      along classical caustics. Additionally the scaling behavior\r\n      of the branching with respect to the standard deviation of\r\n      the potential is investigated and the predicted exponent of\r\n      $-2/3$ is reproduced. As there are several open modes in the\r\n      cavity due to the high frequency, effects of mode\r\n      interference and mode coupling are found and explained, which\r\n      go beyond the theoretical model. Perturbation theory of the\r\n      Helmholtz equation for non-parallel top and bottom plate\r\n      reveals extra source terms for the wave function, which are\r\n      induced by the other open modes. These dynamics are also\r\n      found in the experimental data. The second experiment deals\r\n      with an acoustic setup, where the sound of a turbulent air\r\n      flow is recorded. Here strong deviations from the central\r\n      limit theorem, which predicts a Gaussian distribution of wave\r\n      intensities, are observed. In a second experiment performed\r\n      in a wind tunnel a monochromatic sound wave is sent through\r\n      the air flow. The hope to learn something about the\r\n      properties of the turbulence by investigating the modulations\r\n      of the original sound is not met. But again non-Gaussian\r\n      behavior is found. In the third part of this thesis another\r\n      complex system is studied in a microwave setup: The\r\n      emph{n}-disk system consists of emph{n} equal disks placed on\r\n      an equilateral polygon in a two dimensional plane. Such an\r\n      open systems provides complex resonances, which are extracted\r\n      from our measured spectra via an elaborate algorithm, the\r\n      harmonic inversion. The challenges of this extraction are\r\n      discussed in detail and possible solutions for arising\r\n      problems are suggested. The finally obtained resonances are\r\n      used for the calculation of the counting function of the real\r\n      parts, whose growth is predicted by the Hausdorff dimension\r\n      as leading order. The distributions of the imaginary parts\r\n      are studied with respect to the opening of the system. The\r\n      largest (negative) imaginary part defines the spectral gap,\r\n      which is compared to predictions, which can be calculated by\r\n      using the periodic orbits of the system. By similar means a\r\n      suggestions for the development of the maximum of this\r\n      distribution is tested. Moreover the experimental data is\r\n      compared to the quantum mechanical calculation of the\r\n      system.","lang":"eng"}],"department":[{"_id":"15"}],"user_id":"48188","_id":"26522","language":[{"iso":"eng"}]},{"doi":"10.1103/physrevlett.110.164102","date_updated":"2023-01-19T08:49:01Z","volume":110,"author":[{"first_name":"Sonja","last_name":"Barkhofen","id":"48188","full_name":"Barkhofen, Sonja"},{"orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"},{"last_name":"Potzuweit","full_name":"Potzuweit, A.","first_name":"A."},{"first_name":"H.-J.","full_name":"Stöckmann, H.-J.","last_name":"Stöckmann"},{"last_name":"Kuhl","full_name":"Kuhl, U.","first_name":"U."},{"last_name":"Zworski","full_name":"Zworski, M.","first_name":"M."}],"intvolume":"       110","citation":{"ama":"Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>. 2013;110(16). doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>","ieee":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski, “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” <i>Physical Review Letters</i>, vol. 110, no. 16, Art. no. 164102, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","chicago":"Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i> 110, no. 16 (2013). <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>.","short":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).","bibtex":"@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>}, number={16164102}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }","mla":"Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i>, vol. 110, no. 16, 164102, American Physical Society (APS), 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","apa":"Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., &#38; Zworski, M. (2013). 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Zworski, Physical Review E 86 (2012).","mla":"Potzuweit, A., et al. “Weyl Asymptotics: From Closed to Open Systems.” <i>Physical Review E</i>, vol. 86, no. 6, 066205, American Physical Society (APS), 2012, doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","ama":"Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. <i>Physical Review E</i>. 2012;86(6). doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>","ieee":"A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski, “Weyl asymptotics: From closed to open systems,” <i>Physical Review E</i>, vol. 86, no. 6, Art. no. 066205, 2012, doi: <a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","chicago":"Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. 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Kuhl, S. Barkhofen, T. Tudorovskiy, H.-J. Stöckmann, T. Hossain, L. de Forges de Parny, F. Mortessagne, Physical Review B (2010).","bibtex":"@article{Kuhl_Barkhofen_Tudorovskiy_Stöckmann_Hossain_de Forges de Parny_Mortessagne_2010, title={Dirac point and edge states in a microwave realization of tight-binding graphene-like structures}, DOI={<a href=\"https://doi.org/10.1103/physrevb.82.094308\">10.1103/physrevb.82.094308</a>}, journal={Physical Review B}, author={Kuhl, U. and Barkhofen, Sonja and Tudorovskiy, T. and Stöckmann, H.-J. and Hossain, T. and de Forges de Parny, L. and Mortessagne, F.}, year={2010} }","mla":"Kuhl, U., et al. “Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures.” <i>Physical Review B</i>, 2010, doi:<a href=\"https://doi.org/10.1103/physrevb.82.094308\">10.1103/physrevb.82.094308</a>.","apa":"Kuhl, U., Barkhofen, S., Tudorovskiy, T., Stöckmann, H.-J., Hossain, T., de Forges de Parny, L., &#38; Mortessagne, F. (2010). Dirac point and edge states in a microwave realization of tight-binding graphene-like structures. <i>Physical Review B</i>. <a href=\"https://doi.org/10.1103/physrevb.82.094308\">https://doi.org/10.1103/physrevb.82.094308</a>","ama":"Kuhl U, Barkhofen S, Tudorovskiy T, et al. Dirac point and edge states in a microwave realization of tight-binding graphene-like structures. <i>Physical Review B</i>. Published online 2010. doi:<a href=\"https://doi.org/10.1103/physrevb.82.094308\">10.1103/physrevb.82.094308</a>","ieee":"U. Kuhl <i>et al.</i>, “Dirac point and edge states in a microwave realization of tight-binding graphene-like structures,” <i>Physical Review B</i>, 2010, doi: <a href=\"https://doi.org/10.1103/physrevb.82.094308\">10.1103/physrevb.82.094308</a>.","chicago":"Kuhl, U., Sonja Barkhofen, T. Tudorovskiy, H.-J. Stöckmann, T. Hossain, L. de Forges de Parny, and F. Mortessagne. “Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures.” <i>Physical Review B</i>, 2010. <a href=\"https://doi.org/10.1103/physrevb.82.094308\">https://doi.org/10.1103/physrevb.82.094308</a>."},"year":"2010","publication_identifier":{"issn":["1098-0121","1550-235X"]},"publication_status":"published","language":[{"iso":"eng"}],"user_id":"48188","_id":"26499","status":"public","publication":"Physical Review B","type":"journal_article"}]