Band structure calculations of photonic crystals with dispersive materials

Jyh-Yang Wang; Yean-Woei Kiang; Chih Chung Yang

doi:10.1117/12.480986

29 August 2002 Band structure calculations of photonic crystals with dispersive materials

Jyh-Yang Wang, Yean-Woei Kiang, Chih Chung Yang

Proceedings Volume 4905, Materials and Devices for Optical and Wireless Communications; (2002) https://doi.org/10.1117/12.480986
Event: Asia-Pacific Optical and Wireless Communications 2002, 2002, Shanghai, China

Abstract

The band structures of dispersive photonic crystals are numerically investigated. Based on the fmite-difference time-domain (FDTD) method with some auxiliary variables, time-stepping formulas are derived to compute the evolution of electromagnetic fields. The photomc crystals made of dispersive materials can be described either by the Lorentzian model or by the Drude model. In this paper, we describe how to use the time domain technique to calculate the dispersion relation of photonic crystals and then introduce the recursive convolution scheme to treat the photonic crystals with frequency-dependent materials. Band structures of photomc crystals without dispersion are calculated with the conventional FDTD time-stepping formulas and those with Lorentzian type dispersion and Drude type dispersion are also calculated with the recursive convolution scheme.

Citation Download Citation

Jyh-Yang Wang, Yean-Woei Kiang, and Chih Chung Yang "Band structure calculations of photonic crystals with dispersive materials", Proc. SPIE 4905, Materials and Devices for Optical and Wireless Communications, (29 August 2002); https://doi.org/10.1117/12.480986

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