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Proceedings Paper

Factorization of nonlinear Maxwell equations in periodic media
Author(s): Nicolas Bonod; Evgeny Popov; Michel Neviere
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Paper Abstract

The recently developed fast Fourier factorization used in differential theory of gratings is extended to nonlinear optics in order to be applied to nonlinear Kerr media. The main difficulty presented by the nonlinear equations arise from the existence of discontinuous products of discontinuous functions for which no rule of factorization can be applied. Our method avoids factorization of such type of products. Computations show the good convergence and lack of Gibbs phenomenon of the numerical results when the method is applied to deep gratings illuminated in TM polarization with grooves made of nonlinear material.

Paper Details

Date Published: 29 December 2003
PDF: 7 pages
Proc. SPIE 5184, Physics, Theory, and Applications of Periodic Structures in Optics II, (29 December 2003); doi: 10.1117/12.504702
Show Author Affiliations
Nicolas Bonod, Institut Fresnel (France)
Evgeny Popov, Institut Fresnel (France)
Michel Neviere, Institut Fresnel (France)

Published in SPIE Proceedings Vol. 5184:
Physics, Theory, and Applications of Periodic Structures in Optics II
Philippe Lalanne, Editor(s)

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