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: 17/11/2024) 7 (OpenCitations - last update: 3/5/2024) Look up on Google Scholar
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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

• Modeling Kerr non-linear devices (2003-2011)
• Wide-angle beam propagation methods using complex Jacobi iteration (2004-2011)

Related Projects

• IAP-V: PHOTON (Photons and Photonics : from basic physics to system concepts)