Rigorous modal analysis of two-dimensional photonic crystal waveguides

K. Yasumoto, Hongting Jia, K. Sun

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two-parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.

Original languageEnglish
JournalRadio Science
Volume40
Issue number6
DOIs
Publication statusPublished - Nov 1 2005

Fingerprint

circular cylinders
Modal analysis
Circular cylinders
Photonic crystals
Waveguides
photonics
crystal
waveguides
matrix
crystals
propagation modes
calculus
matrices
Crystal lattices
profiles
analysis

All Science Journal Classification (ASJC) codes

  • Geochemistry and Petrology
  • Geophysics
  • Atmospheric Science
  • Computers in Earth Sciences
  • Computer Networks and Communications
  • Instrumentation

Cite this

Rigorous modal analysis of two-dimensional photonic crystal waveguides. / Yasumoto, K.; Jia, Hongting; Sun, K.

In: Radio Science, Vol. 40, No. 6, 01.11.2005.

Research output: Contribution to journalArticle

Yasumoto, K. ; Jia, Hongting ; Sun, K. / Rigorous modal analysis of two-dimensional photonic crystal waveguides. In: Radio Science. 2005 ; Vol. 40, No. 6.
@article{a94506859dbb4a4a9f4c327381b83504,
title = "Rigorous modal analysis of two-dimensional photonic crystal waveguides",
abstract = "A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two-parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.",
author = "K. Yasumoto and Hongting Jia and K. Sun",
year = "2005",
month = "11",
day = "1",
doi = "10.1029/2004RS003192",
language = "English",
volume = "40",
journal = "Radio Science",
issn = "0048-6604",
publisher = "American Geophysical Union",
number = "6",

}

TY - JOUR

T1 - Rigorous modal analysis of two-dimensional photonic crystal waveguides

AU - Yasumoto, K.

AU - Jia, Hongting

AU - Sun, K.

PY - 2005/11/1

Y1 - 2005/11/1

N2 - A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two-parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.

AB - A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two-parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.

UR - http://www.scopus.com/inward/record.url?scp=32844467781&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32844467781&partnerID=8YFLogxK

U2 - 10.1029/2004RS003192

DO - 10.1029/2004RS003192

M3 - Article

AN - SCOPUS:32844467781

VL - 40

JO - Radio Science

JF - Radio Science

SN - 0048-6604

IS - 6

ER -