Formulation for electromagnetic scattering and propagation through gratingstacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method

Citation
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
Citations number
37
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
ISSN journal
10847529 → ACNP
Volume
17
Issue
12
Year of publication
2000
Pages
2165 - 2176
Database
ISI
SICI code
1084-7529(200012)17:12<2165:FFESAP>2.0.ZU;2-D
Abstract
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.