In this article we develop a finite difference (FDFD) method to compute the band spectra of 2D photonic crystals without impurities. Exploiting periodicity to identify discretization points differing by a period, the computational complexity of the algorithms is reduced significantly. Numerical results on three test problems are presented.
Fast and effective finite difference method for 2D photonic crystals
VAN DER MEE, CORNELIS VICTOR MARIA;SEATZU, SEBASTIANO;CONTU, PIETRO
2011-01-01
Abstract
In this article we develop a finite difference (FDFD) method to compute the band spectra of 2D photonic crystals without impurities. Exploiting periodicity to identify discretization points differing by a period, the computational complexity of the algorithms is reduced significantly. Numerical results on three test problems are presented.
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