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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 10, Iss. 2 — Feb. 1, 1993
  • pp: 303–306

Defect modes in photonic band structures: a Green’s function approach using vector Wannier functions

K. M. Leung  »View Author Affiliations


JOSA B, Vol. 10, Issue 2, pp. 303-306 (1993)
http://dx.doi.org/10.1364/JOSAB.10.000303


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Abstract

I present a treatment of highly localized defect states in photonic band-gap crystals. Vector Wannier functions, which are expected to be highly localized about the atomic sites, are introduced as an orthonormal basis to expand the fields within the crystal. A Green’s function formalism is employed to take advantage of the fact that the defect occupies only a small fraction of the volume within a primitive cell and the localized nature of the vector Wannier functions. This suggests that the size of the matrices involved in determining the defect mode frequencies may be relatively modest.

© 1993 Optical Society of America

Citation
K. M. Leung, "Defect modes in photonic band structures: a Green’s function approach using vector Wannier functions," J. Opt. Soc. Am. B 10, 303-306 (1993)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-10-2-303

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