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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 7 — Apr. 5, 2004
  • pp: 1397–1408

Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals

Chin-ping Yu and Hung-chun Chang  »View Author Affiliations


Optics Express, Vol. 12, Issue 7, pp. 1397-1408 (2004)
http://dx.doi.org/10.1364/OPEX.12.001397


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Abstract

A finite-difference frequency-domain method based on the Yee’s cell is utilized to analyze the band diagrams of two-dimensional photonic crystals with square or triangular lattice. The differential operator is replaced by the compact scheme and the index average scheme is introduced to deal with the curved dielectric interfaces in the unit cell. For the triangular lattice, the hexagonal unit cell is converted into a rectangular one for easier mesh generation. The band diagrams for both square and triangular lattices are obtained and the numerical convergence of computed eigen frequencies is examined and compared with other methods.

© 2004 Optical Society of America

OCIS Codes
(230.3990) Optical devices : Micro-optical devices
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Research Papers

History
Original Manuscript: February 20, 2004
Revised Manuscript: March 25, 2004
Published: April 5, 2004

Citation
Chin-ping Yu and Hung-chun Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Express 12, 1397-1408 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-7-1397


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