Calculus-based optimization of the electron dynamics in nanostructures
T. Meier, M. Reichelt, A. Walther, Photonics and Nanostructures - Fundamentals and Applications 9 (2011) 328–336.
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Abstract
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.
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Journal Title
Photonics and Nanostructures - Fundamentals and Applications
Volume
9
Issue
4
Page
328-336
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Meier T, Reichelt M, Walther A. Calculus-based optimization of the electron dynamics in nanostructures. Photonics and Nanostructures - Fundamentals and Applications. 2011;9(4):328-336. doi:10.1016/j.photonics.2011.03.006
Meier, T., Reichelt, M., & Walther, A. (2011). Calculus-based optimization of the electron dynamics in nanostructures. Photonics and Nanostructures - Fundamentals and Applications, 9(4), 328–336. https://doi.org/10.1016/j.photonics.2011.03.006
@article{Meier_Reichelt_Walther_2011, title={Calculus-based optimization of the electron dynamics in nanostructures}, volume={9}, DOI={10.1016/j.photonics.2011.03.006}, 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} }
Meier, Torsten, Matthias Reichelt, and A. Walther. “Calculus-Based Optimization of the Electron Dynamics in Nanostructures.” Photonics and Nanostructures - Fundamentals and Applications 9, no. 4 (2011): 328–36. https://doi.org/10.1016/j.photonics.2011.03.006.
T. Meier, M. Reichelt, and A. Walther, “Calculus-based optimization of the electron dynamics in nanostructures,” Photonics and Nanostructures - Fundamentals and Applications, vol. 9, no. 4, pp. 328–336, 2011, doi: 10.1016/j.photonics.2011.03.006.
Meier, Torsten, et al. “Calculus-Based Optimization of the Electron Dynamics in Nanostructures.” Photonics and Nanostructures - Fundamentals and Applications, vol. 9, no. 4, Elsevier, 2011, pp. 328–36, doi:10.1016/j.photonics.2011.03.006.
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