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

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.
5. S. G. Johnson, S. Fan, P.R. Villeneuve, J. D. Joannopulos, L. A. Kolodziejski, �??Guided modes in photonic crystal slabs,�?? Phys. Rev. B 3, 5751-5758 (1999) [CrossRef]
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.

Eur. Phys. J. B

• 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).

IEEE Trans. Microwave Theory Tech.

• H. Y. D. Yang, "Finite Di.erence Analysis of 2-D Photonic Crystals," IEEE Trans. Microwave Theory Tech. 44 2688-2695 (1996). [CrossRef]

Phys. Rev. B

• S. G. Johnson, S. Fan, P.R. Villeneuve, J. D. Joannopulos, L. A. Kolodziejski, �??Guided modes in photonic crystal slabs,�?? Phys. Rev. B 3, 5751-5758 (1999) [CrossRef]

Other

• J. D. Joannopulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton University Press, 1995).
• 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.
• 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.
• 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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