Factorization of nonlinear Maxwell equations in periodic media

Nicolas Bonod; Evgeny Popov; Michel Neviere

doi:10.1117/12.504702

29 December 2003 Factorization of nonlinear Maxwell equations in periodic media

Nicolas Bonod, Evgeny Popov, Michel Neviere

Proceedings Volume 5184, Physics, Theory, and Applications of Periodic Structures in Optics II; (2003) https://doi.org/10.1117/12.504702
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

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.

Citation Download Citation

Nicolas Bonod, Evgeny Popov, and Michel Neviere "Factorization of nonlinear Maxwell equations in periodic media", Proc. SPIE 5184, Physics, Theory, and Applications of Periodic Structures in Optics II, (29 December 2003); https://doi.org/10.1117/12.504702

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