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

doi:10.2528/PIER09032704

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Progress In Electromagnetics Research	ISSN: 1070-4698, E-ISSN: 1559-8985

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ACCURACY IMPROVEMENT OF THE FOURIER SERIES EXPANSION METHOD FOR FLOQUET-MODE ANALYSIS OF PHOTONIC CRYSTAL WAVEGUIDES

By K. Watanabe and K. Yasumoto

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Abstract:
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.

Citation:
K. Watanabe and K. 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.
doi:10.2528/PIER09032704
http://www.jpier.org/PIER/pier.php?paper=09032704

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