Wang, J.-Y.J.-Y.WangCHIH-CHUNG YANGYEAN-WOEI KIANG2020-06-112020-06-1120020277786Xhttps://scholars.lib.ntu.edu.tw/handle/123456789/497863https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036458973&doi=10.1117%2f12.480986&partnerID=40&md5=04bfc01cd0cf21992b101de5a08793daThe band structures of dispersive photonic crystals are numerically investigated. Based on the finite-difference time-domain (FDTD) method with some auxiliary variables, time-stepping formulas are derived to compute the evolution of electromagnetic fields. The photonic 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 photonic 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.Dispersive materials; FDTD; Photonic crystalsBandwidth; Electromagnetic field effects; Finite difference method; Photons; Time domain analysis; Dispersive materials; Crystalsconference paper10.1117/12.4809862-s2.0-0036458973