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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 1 — Jan. 1, 2003
  • pp: 85–91

Novel electromagnetic approach to photonic crystals with use of the C method

Tuomas Vallius and Markku Kuittinen  »View Author Affiliations


JOSA A, Vol. 20, Issue 1, pp. 85-91 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000085


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Abstract

We introduce a new method allowing rigorous electromagnetic analysis of scattering through photonic crystals comprising polygonal or round rods. For this purpose, we reformulate the C method with adaptive spatial resolution by utilizing the hybrid-spectrum connection method, permitting the use of nonidentical trapezoidal profiles. Considering polygonal rods as gratings consisting of different piecewise-differentiable surfaces, we are able to analyze the reflection and the transmittance of crystals by means of the C method. To enhance computational efficiency, we apply the recursive S-matrix approach with Redheffer’s star product to solve the transfer matrix for structures of numerous successive layers of rods.

© 2003 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.2770) Diffraction and gratings : Gratings
(250.5300) Optoelectronics : Photonic integrated circuits
(260.2110) Physical optics : Electromagnetic optics
(290.0290) Scattering : Scattering

History
Original Manuscript: March 26, 2002
Revised Manuscript: June 28, 2002
Manuscript Accepted: July 16, 2002
Published: January 1, 2003

Citation
Tuomas Vallius and Markku Kuittinen, "Novel electromagnetic approach to photonic crystals with use of the C method," J. Opt. Soc. Am. A 20, 85-91 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-1-85

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