Formulation for electromagnetic scattering and propagation through gratingstacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method
Lc. Botten et al., Formulation for electromagnetic scattering and propagation through gratingstacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method, J OPT SOC A, 17(12), 2000, pp. 2165-2176
We present a formulation for wave propagation and scattering through stacke
d gratings comprising metallic and dielectric cylinders. By modeling a phot
onic crystal as a grating stack of this type, we thus formulate an efficien
t and accurate method for photonic crystal calculations that allows us to c
alculate reflection and transmission matrices. The stack may contain an arb
itrary number of gratings, provided that each has a common period. The form
ulation uses a Green's function approach based on lattice sums to obtain th
e scattering matrices of each layer, and it couples these layers through re
currence relations. In a companion paper [J. Opt. Sec. Am. A 17, 2177 (2000
)] we discuss the numerical implementation of the method and give a compreh
ensive treatment of its conservation properties. (C) 2000 Optical Society o
f America [S0740-3232(00)02812-X] OCIS codes: 260.0260, 260.2110, 050.0050,
050.1960.