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

Fast modeling of photonic bandgap structures by use of a diffraction-grating approach

Not Accessible

Your library or personal account may give you access

Abstract

The rigorous coupled-wave method formulated by N. Chateau and J. P. Hugonin [J. Opt. Soc. Am. A 11, 1321 (1994)] and revisited by S. Peng and G. M. Morris [J. Opt. Soc. Am. A 12, 1087 (1995)] for one-dimensional (1D) diffraction gratings is used for the modeling of diffraction properties of photonic bandgap (PBG) structures. A two-dimensional (2D)-PBG structure is considered as a stack of 1D gratings. An original S-matrix algorithm is formulated for the modeling of any 1D grating, formed by rods that have a symmetry plane in the grating plane. Many examples—dealing with stacks of infinite rods of square (circular) sections, whose intersection with a perpendicular plane forms square, triangular, or hexagonal lattices—are studied. Particular attention is devoted to TM polarization in lossless (lossy) dielectric and metallic materials. For this polarization we take advantage of the convergence improvement formulated for 1D metallic gratings by P. Lalanne and G. M. Morris [J. Opt. Soc. Am. A 13, 779 (1996)] and G. Granet and R. Guizal [J. Opt. Soc. Am. A 13, 1019 (1996)]. The introduction of a periodic defect—made of dielectric material that has linear (nonlinear) optical properties—in a 2D-PBG structure and the feasibility of optical filters and switches in the 1.3–1.55 µm wavelength range are briefly studied. Limitations for the use of the modeling tool are illustrated through an example of a cubic three-dimensional (3D)-PBG structure of cubes.

© 1998 Optical Society of America

Full Article  |  PDF Article
More Like This
Comparative study of the modeling of three-dimensional photonic bandgap structures

Ignacio R. Matias, Ignacio Del Villar, Francisco J. Arregui, and Richard O. Claus
J. Opt. Soc. Am. A 20(4) 644-654 (2003)

Convergence performance of the coupled-wave and the differential methods for thin gratings

Philippe Lalanne
J. Opt. Soc. Am. A 14(7) 1583-1591 (1997)

Use of Fourier series in the analysis of discontinuous periodic structures

Lifeng Li
J. Opt. Soc. Am. A 13(9) 1870-1876 (1996)

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 (17)

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 (22)

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