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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
DOI: 10.1007/s11082-006-0021-x
Citations: 7 ( - last update: 3/3/2024)
7 (OpenCitations - last update: 3/5/2024)
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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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