Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

Abstract

We present a formulation for wave propagation and scattering through stacked gratings comprising metallic and dielectric cylinders. By modeling a photonic crystal as a grating stack of this type, we thus formulate an efficient and accurate method for photonic crystal calculations that allows us to calculate reflection and transmission matrices. The stack may contain an arbitrary number of gratings, provided that each has a common period. The formulation uses a Green’s function approach based on lattice sums to obtain the scattering matrices of each layer, and it couples these layers through recurrence relations. In a companion paper [J. Opt. Soc. Am. A 17, 2177 (2000)] we discuss the numerical implementation of the method and give a comprehensive treatment of its conservation properties.

© 2000 Optical Society of America

Full Article  |  PDF Article
More Like This
Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation

Lindsay C. Botten, Nicolae-Alexandru P. Nicorovici, Ara A. Asatryan, Ross C. McPhedran, C. Martijn de Sterke, and Peter A. Robinson
J. Opt. Soc. Am. A 17(12) 2177-2190 (2000)

Low-coherence interferometry in random media. I. Theory

A. Brodsky, S. R. Thurber, and L. W. Burgess
J. Opt. Soc. Am. A 17(11) 2024-2033 (2000)

Photonic bandgap calculations with Dirichlet-to-Neumann maps

Jianhua Yuan and Ya Yan Lu
J. Opt. Soc. Am. A 23(12) 3217-3222 (2006)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (115)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved