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Title: Photonic band gap structure simulator

Abstract

A system and method for designing photonic band gap structures. The system and method provide a user with the capability to produce a model of a two-dimensional array of conductors corresponding to a unit cell. The model involves a linear equation. Boundary conditions representative of conditions at the boundary of the unit cell are applied to a solution of the Helmholtz equation defined for the unit cell. The linear equation can be approximated by a Hermitian matrix. An eigenvalue of the Helmholtz equation is calculated. One computation approach involves calculating finite differences. The model can include a symmetry element, such as a center of inversion, a rotation axis, and a mirror plane. A graphical user interface is provided for the user's convenience. A display is provided to display to a user the calculated eigenvalue, corresponding to a photonic energy level in the Brilloin zone of the unit cell.

Inventors:
; ; ; ;
Publication Date:
Research Org.:
Massachusetts Institute of Technology, Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1175926
Patent Number(s):
7,117,133
Application Number:
10/171,725
Assignee:
Massachusetts Institute of Technology (Cambridge, MA) OSTI
DOE Contract Number:  
FG02-95ER40919
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Chen, Chiping, Shapiro, Michael A., Smirnova, Evgenya I., Temkin, Richard J., and Sirigiri, Jagadishwar R. Photonic band gap structure simulator. United States: N. p., 2006. Web.
Chen, Chiping, Shapiro, Michael A., Smirnova, Evgenya I., Temkin, Richard J., & Sirigiri, Jagadishwar R. Photonic band gap structure simulator. United States.
Chen, Chiping, Shapiro, Michael A., Smirnova, Evgenya I., Temkin, Richard J., and Sirigiri, Jagadishwar R. Tue . "Photonic band gap structure simulator". United States. https://www.osti.gov/servlets/purl/1175926.
@article{osti_1175926,
title = {Photonic band gap structure simulator},
author = {Chen, Chiping and Shapiro, Michael A. and Smirnova, Evgenya I. and Temkin, Richard J. and Sirigiri, Jagadishwar R.},
abstractNote = {A system and method for designing photonic band gap structures. The system and method provide a user with the capability to produce a model of a two-dimensional array of conductors corresponding to a unit cell. The model involves a linear equation. Boundary conditions representative of conditions at the boundary of the unit cell are applied to a solution of the Helmholtz equation defined for the unit cell. The linear equation can be approximated by a Hermitian matrix. An eigenvalue of the Helmholtz equation is calculated. One computation approach involves calculating finite differences. The model can include a symmetry element, such as a center of inversion, a rotation axis, and a mirror plane. A graphical user interface is provided for the user's convenience. A display is provided to display to a user the calculated eigenvalue, corresponding to a photonic energy level in the Brilloin zone of the unit cell.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 03 00:00:00 EDT 2006},
month = {Tue Oct 03 00:00:00 EDT 2006}
}

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