OPTIMAL LASER CONTROL OF MOLECULAR SYSTEMS: METHODOLOGY AND RESULTS

Author:

AUGER A.1,BEN HAJ YEDDER A.1,CANCES E.1,LE BRIS C.1,DION C. M.2,KELLER A.2,ATABEK O.2

Affiliation:

1. CERMICS, École Nationale des Ponts et Chaussées, 6 & 8, avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne-La-Vallée Cedex 2, France

2. Laboratoire de Photophysique Moléculaire, Laboratoire de Photophysique Moléculaire du CNRS, Bâtiment 213, Campus d'Orsay, 91405 Orsay, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

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