{"publication":"Photonics and Nanostructures - Fundamentals and Applications","abstract":[{"lang":"eng","text":"For numerous applications, the computation and provision of exact derivative information plays an important role for optimizing the considered system. This paper introduces the technique of algorithmic differentiation, a method to compute derivatives of arbitrary order within working precision. This derivative information will be combined with a calculus-based optimization algorithm to optimize a non-trivially shaped laser pulse which coherently steers the electron dynamics in a semiconductor quantum wire. Numerical results illustrating the cost for the derivative computation and the optimization process are presented and discussed."}],"title":"Calculus-based optimization of the electron dynamics in nanostructures","date_updated":"2023-03-29T21:25:42Z","page":"328-336","intvolume":"         9","language":[{"iso":"eng"}],"issue":"4","department":[{"_id":"293"}],"citation":{"apa":"Meier, T., Reichelt, M., &#38; Walther, A. (2011). Calculus-based optimization of the electron dynamics in nanostructures. <i>Photonics and Nanostructures - Fundamentals and Applications</i>, <i>9</i>(4), 328–336. <a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">https://doi.org/10.1016/j.photonics.2011.03.006</a>","chicago":"Meier, Torsten, Matthias Reichelt, and A. Walther. “Calculus-Based Optimization of the Electron Dynamics in Nanostructures.” <i>Photonics and Nanostructures - Fundamentals and Applications</i> 9, no. 4 (2011): 328–36. <a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">https://doi.org/10.1016/j.photonics.2011.03.006</a>.","mla":"Meier, Torsten, et al. “Calculus-Based Optimization of the Electron Dynamics in Nanostructures.” <i>Photonics and Nanostructures - Fundamentals and Applications</i>, vol. 9, no. 4, Elsevier, 2011, pp. 328–36, doi:<a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">10.1016/j.photonics.2011.03.006</a>.","ama":"Meier T, Reichelt M, Walther A. Calculus-based optimization of the electron dynamics in nanostructures. <i>Photonics and Nanostructures - Fundamentals and Applications</i>. 2011;9(4):328-336. doi:<a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">10.1016/j.photonics.2011.03.006</a>","ieee":"T. Meier, M. Reichelt, and A. Walther, “Calculus-based optimization of the electron dynamics in nanostructures,” <i>Photonics and Nanostructures - Fundamentals and Applications</i>, vol. 9, no. 4, pp. 328–336, 2011, doi: <a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">10.1016/j.photonics.2011.03.006</a>.","bibtex":"@article{Meier_Reichelt_Walther_2011, title={Calculus-based optimization of the electron dynamics in nanostructures}, volume={9}, DOI={<a href=\"https://doi.org/10.1016/j.photonics.2011.03.006\">10.1016/j.photonics.2011.03.006</a>}, number={4}, journal={Photonics and Nanostructures - Fundamentals and Applications}, publisher={Elsevier}, author={Meier, Torsten and Reichelt, Matthias and Walther, A.}, year={2011}, pages={328–336} }","short":"T. Meier, M. Reichelt, A. Walther, Photonics and Nanostructures - Fundamentals and Applications 9 (2011) 328–336."},"volume":9,"publisher":"Elsevier","type":"journal_article","year":"2011","author":[{"full_name":"Meier, Torsten","last_name":"Meier","first_name":"Torsten","id":"344","orcid":"0000-0001-8864-2072"},{"first_name":"Matthias","id":"138","last_name":"Reichelt","full_name":"Reichelt, Matthias"},{"first_name":"A.","full_name":"Walther, A.","last_name":"Walther"}],"user_id":"49063","_id":"43202","status":"public","date_created":"2023-03-29T21:25:40Z","doi":"10.1016/j.photonics.2011.03.006","publication_status":"published"}