The computation of spectra of some 2D photonic crystals
type: Item
instance of: scholarly article
title: The computation of spectra of some 2D photonic crystals
zbMATH Open document ID: 0885.65145
author: Alexander Figotin
author: Yuri A. Godin
published in: Journal of Computational Physics
publication date: 1997-11-06T00:00:00Z
review text: Using analytical methods, the authors develop an accurate and efficient algorithm to compute the spectrum and eigenmodes for a 2D photonic crystal which contains a periodic array of parallel rods of air with a square cross section inside a background lossless medium of higher dielectric constant. They find a decomposition of the eigenmodes of the main eigenvalue problem into basis waves, and a phase method is described. The numerical analysis of the dependence of the spectral bands on the parameters of the 2D photonic crystal is displayed.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 1084049
zbMATH Keywords: algorithm
zbMATH Keywords: spectrum
zbMATH Keywords: eigenmodes
zbMATH Keywords: photonic crystal
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: phase method
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W2132228050
cites work: Q5395377
cites work: Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
cites work: Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
cites work: Q5722964
cites work: Photonic crystals: molding the flow of light
DOI: 10.1006/JCPH.1997.5783
description: scientific article; zbMATH DE number 1084049