Calculus-based optimization of the electron dynamics in nanostructures |
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Authors: | Andrea Walther Matthias Reichelt Torsten Meier |
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Institution: | aInstitut für Mathematik, Universität Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany;bDepartment Physik, Universität Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany |
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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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Keywords: | Optimization Algorithmic differentiation Nanooptics |
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