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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 22 — Nov. 4, 2002
  • pp: 1299–1304

Novel numerical method for the analysis of 2D photonic crystals: the cell method

M. Marrone, V. F. Rodríguez-Esquerre, and H. E. Hernández-Figueroa  »View Author Affiliations


Optics Express, Vol. 10, Issue 22, pp. 1299-1304 (2002)
http://dx.doi.org/10.1364/OE.10.001299


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Abstract

The Cell Method, a new efficient numerical method suitable for working with periodic structures having anisotropic inhomogeneous media with curved shapes, is proposed in order to calculate the band gap of 2D photonic crystals for in-plane propagation of TM and TE waves. Moreover some numerical comparisons with other numerical methods will be provided.

© 2002 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(160.1190) Materials : Anisotropic optical materials

ToC Category:
Research Papers

History
Original Manuscript: September 30, 2002
Revised Manuscript: October 21, 2002
Published: November 4, 2002

Citation
Massimiliano Marrone, V. Rodriguez-Esquerre, and H. Hernandez-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: the cell method," Opt. Express 10, 1299-1304 (2002)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-10-22-1299


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References

  1. J. D. Joannopulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton University Press, 1995).
  2. H. Y. D. Yang, "Finite Di.erence Analysis of 2-D Photonic Crystals," IEEE Trans. Microwave Theory Tech. 44 2688-2695 (1996). [CrossRef]
  3. E. Tonti, "Finite Formulation of the Electromagnetic Field," in Geometric Methods for Computational Electromagnetics, PIER 32, F. L.Teixeira, J. A.Kong, ed.(EMW Publishing 2001) 1-44.
  4. M. Marrone, �??Computational Aspects of Cell Method in Electrodynamics,�?? in Geometric Methods for Computational Electromagnetics, PIER 32, F. L.Teixeira, J. A. Kong, ed. (EMW Publishing 2001), 317-356.
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  6. Z. Y. Li, B. Y. Gu, G. Z. Yang, �??Improvement of absolute band gaps in 2D photonic crystals by anisotropy in dielectricity,�?? Eur. Phys. J. B 11, 65-73 (1999).
  7. M. Clemens, T. Weiland, �??Discrete Electromagnetism with the Finite Integration Technique,�?? in Geometric Methods for Computational Electromagnetics, PIER 32, F. L. Teixeira, J. A. Kong, ed. (EMW Publishing 2001), 65-87.

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