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:
- Issue Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1175926
- Patent Number(s):
- 7117133
- Application Number:
- 10/171,725
- Assignee:
- Massachusetts Institute of Technology (Cambridge, MA)
- Patent Classifications (CPCs):
-
G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
H - ELECTRICITY H01 - BASIC ELECTRIC ELEMENTS H01P - WAVEGUIDES
- DOE Contract Number:
- FG02-95ER40919
- Resource Type:
- Patent
- Resource Relation:
- Patent File Date: 2002 Jun 14
- 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 = {2006},
month = {10}
}
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