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Authors: P. Vandersteegen, B. Maes, P. Bienstman, R. Baets
Title: Using the complex Jacobi method to simulate Kerr non-linear photonic components
Format: International Journal
Publication date: 1/2006
Journal/Conference/Book: Optical and Quantum Electronics
Editor/Publisher: Xavier Letartre, Alain Morand / Springer Netherlands, 
Volume(Issue): 38(1-3) p.35--44
Internal Reference: [N-495]
Download: Download this Publication (154KB) (154KB)

Abstract

The iterative complex Jacobi technique has been extended to simulate the third order Kerr effect in wavelength scale dielectric structures. This method solves the Helmholtz equation in a discrete finite simulation space by an iterative process. An update equation refines the field values at each iteration step, until a desired accuracy is achieved. We have extended the iterative process with an extra calculation step which allows simulating materials with the non-linear third order Kerr effect. Our adjustment of the discrete field operators in the update equation also introduces PMLs as absorbing boundaries and the total field/scattered field formalism as field source for this method.

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