Optimal laser control of molecular systems: Methodology and results

A. Auger; A. Ben Haj Yedder; E. Cances; C. Le Bris; C. M. Dion; A. Keller; O. Atabek

doi:10.1142/S0218202502002136

Optimal laser control of molecular systems: Methodology and results

A. Auger
, A. Ben Haj Yedder
, E. Cances
, C. Le Bris
, C. M. Dion
, A. Keller
, O. Atabek

Research output: Contribution to journal › Article › peer-review

Abstract

We report on some mathematical and numerical work related to the control of the evolution of molecular systems using laser fields. More precisely, the control of the orientation of molecules is our goal. We treat this as an optimal control problem and optimize the laser field to be used experimentally by using both deterministic and stochastic algorithms. Comparisons between the different strategies are drawn. In particular, when gradients of the cost functional are used, the different ways for their computation are compared and analyzed.

Original language	English
Pages (from-to)	1281-1315
Number of pages	35
Journal	Mathematical Models and Methods in Applied Sciences
Volume	12
Issue number	9
DOIs	https://doi.org/10.1142/S0218202502002136
Publication status	Published - 1 Sept 2002

Keywords

Automatic differentiation
Evolutionary strategies
Optimal control
Optimization
Schrödinger equation

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10.1142/S0218202502002136

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title = "Optimal laser control of molecular systems: Methodology and results",

abstract = "We report on some mathematical and numerical work related to the control of the evolution of molecular systems using laser fields. More precisely, the control of the orientation of molecules is our goal. We treat this as an optimal control problem and optimize the laser field to be used experimentally by using both deterministic and stochastic algorithms. Comparisons between the different strategies are drawn. In particular, when gradients of the cost functional are used, the different ways for their computation are compared and analyzed.",

keywords = "Automatic differentiation, Evolutionary strategies, Optimal control, Optimization, Schr{\"o}dinger equation",

author = "A. Auger and \{Ben Haj Yedder\}, A. and E. Cances and \{Le Bris\}, C. and Dion, \{C. M.\} and A. Keller and O. Atabek",

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T2 - Methodology and results

AU - Auger, A.

AU - Ben Haj Yedder, A.

AU - Cances, E.

AU - Le Bris, C.

AU - Dion, C. M.

AU - Keller, A.

AU - Atabek, O.

PY - 2002/9/1

Y1 - 2002/9/1

N2 - We report on some mathematical and numerical work related to the control of the evolution of molecular systems using laser fields. More precisely, the control of the orientation of molecules is our goal. We treat this as an optimal control problem and optimize the laser field to be used experimentally by using both deterministic and stochastic algorithms. Comparisons between the different strategies are drawn. In particular, when gradients of the cost functional are used, the different ways for their computation are compared and analyzed.

AB - We report on some mathematical and numerical work related to the control of the evolution of molecular systems using laser fields. More precisely, the control of the orientation of molecules is our goal. We treat this as an optimal control problem and optimize the laser field to be used experimentally by using both deterministic and stochastic algorithms. Comparisons between the different strategies are drawn. In particular, when gradients of the cost functional are used, the different ways for their computation are compared and analyzed.

KW - Automatic differentiation

KW - Evolutionary strategies

KW - Optimal control

KW - Optimization

KW - Schrödinger equation

U2 - 10.1142/S0218202502002136

DO - 10.1142/S0218202502002136

M3 - Article

AN - SCOPUS:0036710715

SN - 0218-2025

VL - 12

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EP - 1315

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 9

ER -

Optimal laser control of molecular systems: Methodology and results

Abstract

Keywords

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