Nonlinear thin-layer theory and approximative techniques

Timo A. Laine; Ari T. Friberg

doi:10.1117/12.354891

19 July 1999 Nonlinear thin-layer theory and approximative techniques

Timo A. Laine, Ari T. Friberg

Proceedings Volume 3749, 18th Congress of the International Commission for Optics; (1999) https://doi.org/10.1117/12.354891
Event: ICO XVIII 18th Congress of the International Commission for Optics, 1999, San Francisco, CA, United States

Abstract

We derive a thin-layer theory for stratified nonlinear structures. By using a superposition of plane waves we solve the Kerr-Maxwell equation rigorously within a thin slab. We construct the characteristic matrix of the medium and show that the wave vectors become field dependent. We also consider alternative methods that can be employed in layered nonlinear structures. Especially we make use of the calculus of variations and Hamilton's canonical perturbation theory.

Citation Download Citation

Timo A. Laine and Ari T. Friberg "Nonlinear thin-layer theory and approximative techniques", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); https://doi.org/10.1117/12.354891

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