A finite element frequency domain method for 2D photonic crystals

Pietro Contu,Cornelis Van Der Mee,Sebastiano Seatzu

Journal of Computational and Applied Mathematics（2012）

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摘要

In this paper we propose a new finite element frequency domain (FEFD) method to compute the band spectra of 2D photonic crystals without impurities. Exploiting periodicity to identify discretization points differing by a period, it increases the effectiveness of the algorithm and reduces significantly its computational complexity. The results of an extensive experimentation indicate that our method offers an effective alternative to the most quoted methods in the literature.

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关键词

exploiting periodicity,discretization point,band spectrum,new finite element frequency,effective alternative,photonic crystal,computational complexity,finite element frequency domain,extensive experimentation,circulant matrices,photonic crystals

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