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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 5 — Mar. 2, 2009
  • pp: 3305–3315

Higher order finite-difference frequency domain analysis of 2-D photonic crystals with curved dielectric interfaces

Yen-Chung Chiang  »View Author Affiliations


Optics Express, Vol. 17, Issue 5, pp. 3305-3315 (2009)
http://dx.doi.org/10.1364/OE.17.003305


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Abstract

A high-order finite-difference frequency domain method is proposed for the analysis of the band diagrams of two-dimensional photonic crystals. This improved formulation is based on Taylor series expansion, local coordinate transformation, boundary conditions matching, and the generalized Douglas scheme. The nine-point second-order formulas are extended to fourth-order accuracy. This proposed scheme can deal with piecewise homogeneous structures with curved dielectric interfaces.

© 2009 Optical Society of America

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

ToC Category:
Photonic Crystals

History
Original Manuscript: January 2, 2009
Revised Manuscript: February 11, 2009
Manuscript Accepted: February 13, 2009
Published: February 17, 2009

Citation
Yen-Chung Chiang, "Higher order finite-difference frequency domain analysis of 2-D photonic crystals with curved dielectric interfaces," Opt. Express 17, 3305-3315 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-5-3305


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