| 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 (Dimensions.ai - last update: 14/4/2024)
7 (OpenCitations - last update: 3/5/2024)
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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. Related Research Topics
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