Perfectly matched layer absorbing boundary conditions for a vectorial BPM based on the Fourier series expansion

Juan Gonzalo Wanguemert Perez; I. Molina-Fernandez

doi:10.1117/12.406410

15 December 2000 Perfectly matched layer absorbing boundary conditions for a vectorial BPM based on the Fourier series expansion

Juan Gonzalo Wanguemert Perez, I. Molina-Fernandez

Author Affiliations +

Proceedings Volume 4087, Applications of Photonic Technology 4; (2000) https://doi.org/10.1117/12.406410
Event: 2000 International Conference on Application of Photonic Technology (ICAPT 2000), 2000, Quebec City, Canada

Abstract

A new formulation of the vectorial-BPM with Perfectly Matched Layer absorbing boundary conditions of coordinate stretching-type has been developed. It is shown that, if the resulting wave equations are discretized by a Fourier series expansion method based on the Galerkin's strategy, the obtained results are clearly superior to those obtained with the classical FFT-BPM (based on the collocation strategy). Both the formulation and the proposed discretization scheme were tested in 2D situations, homogeneous and guided-wave media, showing in all cases excellent results. Also, in this work, a variable transformed Fourier series expansion method is used to analyze the propagation in 2D structures and the problems involved with reflections in the transformed coordinates are pointed out.

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Juan Gonzalo Wanguemert Perez and I. Molina-Fernandez "Perfectly matched layer absorbing boundary conditions for a vectorial BPM based on the Fourier series expansion", Proc. SPIE 4087, Applications of Photonic Technology 4, (15 December 2000); https://doi.org/10.1117/12.406410

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