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Accuracy Improvement of the Fourier Series Expansion Method for Floquet-Mode Analysis of Photonic Crystal Waveguides

By Koki Watanabe and Kiyotoshi Yasumoto
Progress In Electromagnetics Research, Vol. 92, 209-222, 2009


The Fourier series expansion method is a useful tool to approach the problems of discontinuities in optical waveguides, and it applies to analyze the Floquet-modes of photonic crystal waveguides. This paper shows that the Floquet-mode calculation with large truncation order is limited and explains the reason. Furthermore, two techniques of the formulation are presented to relieve this limitation. One of them is a use of the symmetric properties of the Floquet-modes, and another is a use of the Rayleigh quotients to improve accuracy of eigenvalue calculation. They are validated by numerical experiments.


Koki Watanabe and Kiyotoshi Yasumoto, "Accuracy Improvement of the Fourier Series Expansion Method for Floquet-Mode Analysis of Photonic Crystal Waveguides," Progress In Electromagnetics Research, Vol. 92, 209-222, 2009.


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