Augmented Lagrangian method for optimal laser control

Hai Shen; Jean-Pierre Dussault; Andre D. Bandrauk

doi:10.1117/12.178126

17 June 1994 Augmented Lagrangian method for optimal laser control

Hai Shen, Jean-Pierre Dussault, Andre D. Bandrauk

Proceedings Volume 2124, Laser Techniques for State-Selected and State-to-State Chemistry II; (1994) https://doi.org/10.1117/12.178126
Event: OE/LASE '94, 1994, Los Angeles, CA, United States

Abstract

We use penalty methods derived from Augmented Lagrangians coupled with unitary exponential operator methods to solve the optimal control problem for molecular time-dependent Schodinger equations involving laser pulse excitations. A stable numerical algorithm is presented which propagates directly from initial states to given final states. Results are reported for an analytically solvable model for the complete inversion of a three-state system.

Citation Download Citation

Hai Shen, Jean-Pierre Dussault, and Andre D. Bandrauk "Augmented Lagrangian method for optimal laser control", Proc. SPIE 2124, Laser Techniques for State-Selected and State-to-State Chemistry II, (17 June 1994); https://doi.org/10.1117/12.178126

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