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Authors: P. Vandersteegen, B. Maes, P. Bienstman, R. Baets
Title: Simulating non-linear third order effects with the adapted complex Jacobi iteration method
Format: International Conference Proceedings
Publication date: 12/2005
Journal/Conference/Book: 2005 IEEE/LEOS Symposium Benelux Chapter Proceedings
Editor/Publisher: P. Megret, M. Wuilpart, S. Bette, N. Staquet, 
Volume(Issue): p.193-196
Location: Mons, Belgium
Internal Reference: [N-441]
Download: Download this Publication (370KB) (370KB)

Abstract

WepresentanumericalmethodtosimulatethethirdorderKerreffectinwavelengthscale
dielectricstructures. ThisisdonebyextendingtherecentlyintroducedcomplexJacobiIt-
erationmethod. ThismethodsolvestheHelmholtzequationinadiscretefinitesimulation
space by an iterative proces. This technique refines the field values during each itera-
tion step, until a desired accuracy is achieved. Adjustment of the discrete field operators
allows the use of the total field/scattered field formalism and PMLs as absorbing bound-
aries. Extending the iterative process with an extra calculation step allows simulating
materials with thenon-linear third order Kerr effect.

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