Transfer-matrix approach for finite-difference time-domain simulation of periodic structures

Autor:	Alexei Deinega, Sergei Belousov, Ilya Valuev
Rok vydání:	2013
Předmět:	Computer simulation business.industry Mathematical analysis Finite difference method Finite-difference time-domain method Physics::Optics Transfer matrix Optics Frequency domain Linear algebra Transmittance business Photonic crystal Mathematics
Zdroj:	Physical Review E. 88
ISSN:	1550-2376 1539-3755
Popis:	Optical properties of periodic structures can be calculated using the transfer-matrix approach, which establishes a relation between amplitudes of the wave incident on a structure with transmitted or reflected waves. The transfer matrix can be used to obtain transmittance and reflectance spectra of finite periodic structures as well as eigenmodes of infinite structures. Traditionally, calculation of the transfer matrix is performed in the frequency domain and involves linear algebra. In this work, we present a technique for calculation of the transfer matrix using the finite-difference time-domain (FDTD) method and show the way of its implementation in FDTD code. To illustrate the performance of our technique we calculate the transmittance spectra for opal photonic crystal slabs consisting of multiple layers of spherical scatterers. Our technique can be used for photonic band structure calculations. It can also be combined with existing FDTD methods for the analysis of periodic structures at an oblique incidence, as well as for modeling point sources in a periodic environment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdabb115d21f74dfcac8684d2a0ea7a3 https://doi.org/10.1103/physreve.88.053305 Zobrazit plný text záznamu