Numerical Analysis of Leaky Modes in Two-Dimensional Photonic Crystal Waveguides Using Fourier Series Expansion Method with Perfectly Matched Layer

Hongting JIA

IEICE TRANSACTIONS on Electronics   Vol.E90-C    No.3    pp.613-622
Publication Date: 2007/03/01
Online ISSN: 1745-1353
DOI: 10.1093/ietele/e90-c.3.613
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Optoelectronics
Fourier series expansion,  photonic crystal waveguide,  perfectly matched layer,  leaky modes,  

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The propagation characteristics of the leaky TE mode in a two-dimensional photonic crystal waveguide is analyzed using the Fourier series expansion method combined with the Chew's perfectly matched layer (PML). The complex propagation constant and mode field profiles are numerically tested in detail. It is shown that the leakage phenomena can be well modeled by choosing the PML parameters in proper range.