Optimal laser control of molecular systems: Methodology and results

被引：13

作者：

Auger, A

Yedder, AB

Cances, E

Le Bris, C

Dion, CM

Keller, A

Atabek, O

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee 2, France

[2] CNRS, Photophys Mol Lab, F-91405 Orsay, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2002年 / 12卷 / 09期

关键词：

optimal control; Schrodinger equation; optimization; automatic differentiation; evolutionary strategies;

D O I：

10.1142/S0218202502002136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1281 / 1315

页数：35

共 37 条

[1]

*AC SCI, 2000, RAPP SCI TECHN SEP

[2] Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses [J].

Assion, A ;

Baumert, T ;

Bergt, M ;

Brixner, T ;

Kiefer, B ;

Seyfried, V ;

Strehle, M ;

Gerber, G .

SCIENCE, 1998, 282 (5390) :919-922

[3]

AUGER A, UNPUB

[4]

Back T., 1997, Handbook of evolutionary computation

[5] CONTROLLABILITY FOR DISTRIBUTED BILINEAR-SYSTEMS [J].

BALL, JM ;

MARSDEN, JE ;

SLEMROD, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (04) :575-597

[6]

Bonnans J. F., 1997, Numerical optimization

[7] CONTROL OF UNIMOLECULAR REACTIONS USING COHERENT-LIGHT [J].

BRUMER, P ;

SHAPIRO, M .

CHEMICAL PHYSICS LETTERS, 1986, 126 (06) :541-546

[8]

BRUMER P, 1995, SCI AM MAR, P34

[9] Bilinear optimal control of a Schrodinger equation [J].

Cancès, E ;

Le Bris, C ;

Pilot, M .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 330 (07) :567-571

[10] Laser-phase directional control of photofragments in dissociative ionization of H2+ using two-color intense laser pulses [J].

Chelkowski, Szczepan ;

Zamojski, Michel ;

Bandrauk, Andreá D. .

Physical Review A - Atomic, Molecular, and Optical Physics, 2001, 63 (02) :023409-023401

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