Abstract

The effects of structural disorder in feature position in finite two-dimensional photonic crystals are studied computationally. Under random variation in feature position some structures are not only resistant to disorder, but also show improved transmittance reduction. This apparent increase in band gap strength can be explained in terms of distributions of point defects within the photonic crystal structure. For certain photonic crystal geometries, point defects lead to scattering that reduces transmittance. Similarly, it is shown that some line defects reduce transmittance by acting as waveguides of a subcritical dimension, inhibiting transmission better than the corresponding perfect photonic crystal structures. The open square lattice photonic crystal structure is examined in depth, and other configurations are examined briefly for comparison. Further calculations on the effects of disorder on waveguide structures show that while the apparent photonic band gap effect may be enhanced by disorder, the waveguide quality is always degraded due to variations in the feature position. Calculations are done using the finite element method to solve the 2-D Maxwell's Equations in the frequency domain.

Original languageEnglish (US)
Article number165116
Pages (from-to)1-11
Number of pages11
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume70
Issue number16
DOIs
StatePublished - Oct 1 2004

Fingerprint

Photonic crystals
disorders
photonics
Finite element method
Waveguides
Crystal structure
crystals
Point defects
transmittance
waveguides
point defects
crystal structure
Photonic band gap
Telephone lines
Maxwell equations
Crystal lattices
Energy gap
Maxwell equation
Scattering
finite element method

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Finite-element analysis of disorder effects in photonic crystals [40]. / Frei, W. R.; Johnson, Harley T.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 70, No. 16, 165116, 01.10.2004, p. 1-11.

Research output: Contribution to journalArticle

@article{742917230d5a4485b7c985ec0830582c,
title = "Finite-element analysis of disorder effects in photonic crystals [40]",
abstract = "The effects of structural disorder in feature position in finite two-dimensional photonic crystals are studied computationally. Under random variation in feature position some structures are not only resistant to disorder, but also show improved transmittance reduction. This apparent increase in band gap strength can be explained in terms of distributions of point defects within the photonic crystal structure. For certain photonic crystal geometries, point defects lead to scattering that reduces transmittance. Similarly, it is shown that some line defects reduce transmittance by acting as waveguides of a subcritical dimension, inhibiting transmission better than the corresponding perfect photonic crystal structures. The open square lattice photonic crystal structure is examined in depth, and other configurations are examined briefly for comparison. Further calculations on the effects of disorder on waveguide structures show that while the apparent photonic band gap effect may be enhanced by disorder, the waveguide quality is always degraded due to variations in the feature position. Calculations are done using the finite element method to solve the 2-D Maxwell's Equations in the frequency domain.",
author = "Frei, {W. R.} and Johnson, {Harley T}",
year = "2004",
month = "10",
day = "1",
doi = "10.1103/PhysRevB.70.165116",
language = "English (US)",
volume = "70",
pages = "1--11",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "16",

}

TY - JOUR

T1 - Finite-element analysis of disorder effects in photonic crystals [40]

AU - Frei, W. R.

AU - Johnson, Harley T

PY - 2004/10/1

Y1 - 2004/10/1

N2 - The effects of structural disorder in feature position in finite two-dimensional photonic crystals are studied computationally. Under random variation in feature position some structures are not only resistant to disorder, but also show improved transmittance reduction. This apparent increase in band gap strength can be explained in terms of distributions of point defects within the photonic crystal structure. For certain photonic crystal geometries, point defects lead to scattering that reduces transmittance. Similarly, it is shown that some line defects reduce transmittance by acting as waveguides of a subcritical dimension, inhibiting transmission better than the corresponding perfect photonic crystal structures. The open square lattice photonic crystal structure is examined in depth, and other configurations are examined briefly for comparison. Further calculations on the effects of disorder on waveguide structures show that while the apparent photonic band gap effect may be enhanced by disorder, the waveguide quality is always degraded due to variations in the feature position. Calculations are done using the finite element method to solve the 2-D Maxwell's Equations in the frequency domain.

AB - The effects of structural disorder in feature position in finite two-dimensional photonic crystals are studied computationally. Under random variation in feature position some structures are not only resistant to disorder, but also show improved transmittance reduction. This apparent increase in band gap strength can be explained in terms of distributions of point defects within the photonic crystal structure. For certain photonic crystal geometries, point defects lead to scattering that reduces transmittance. Similarly, it is shown that some line defects reduce transmittance by acting as waveguides of a subcritical dimension, inhibiting transmission better than the corresponding perfect photonic crystal structures. The open square lattice photonic crystal structure is examined in depth, and other configurations are examined briefly for comparison. Further calculations on the effects of disorder on waveguide structures show that while the apparent photonic band gap effect may be enhanced by disorder, the waveguide quality is always degraded due to variations in the feature position. Calculations are done using the finite element method to solve the 2-D Maxwell's Equations in the frequency domain.

UR - http://www.scopus.com/inward/record.url?scp=11244278691&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11244278691&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.70.165116

DO - 10.1103/PhysRevB.70.165116

M3 - Article

AN - SCOPUS:11244278691

VL - 70

SP - 1

EP - 11

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 16

M1 - 165116

ER -