Thin-layer theory and parallel techniques for nonlinear Kerr medium

Timo A. Laine; Ari T. Friberg

doi:10.1117/12.346776

29 April 1999 Thin-layer theory and parallel techniques for nonlinear Kerr medium

Timo A. Laine, Ari T. Friberg

Proceedings Volume 3729, Selected Papers from International Conference on Optics and Optoelectronics '98; (1999) https://doi.org/10.1117/12.346776
Event: Selected Papers from the International Conference on Optics and Optoelectronics, 1998, Dehradun, India

Abstract

We develop a nonlinear thin-film theory. By using a superposition of plane waves with a thin-layer approximation the Kerr-Maxwell equation is solved exactly within a thin slab. The characteristic matrix of the Kerr-medium resembles the corresponding linear matrix, but the wave vectors now are field dependent. The linear result is recovered in the limit of vanishing nonlinearity. We also discuss alternative theories for fields in nonlinear Kerr-media, based on variational principles and on perturbative Hamilton-Jacobi formalism.

Citation Download Citation

Timo A. Laine and Ari T. Friberg "Thin-layer theory and parallel techniques for nonlinear Kerr medium", Proc. SPIE 3729, Selected Papers from International Conference on Optics and Optoelectronics '98, (29 April 1999); https://doi.org/10.1117/12.346776

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