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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. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1791–1797

Plane waves in regular arrays of dipole scatterers and effective-medium modeling

S. A. Tretyakov and A. J. Viitanen  »View Author Affiliations


JOSA A, Vol. 17, Issue 10, pp. 1791-1797 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001791


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Abstract

A simple analytical theory for finding eigensolutions for plane electromagnetic waves propagating along an axis in infinite regular arrays of small dipole particles is presented. The spacing between dipoles in every plane is assumed to be smaller than the wavelength; separation between the planes is arbitrary. The influence of evanescent modes is taken into account. This theory gives a model for an effective propagation constant that can be applied in a wide frequency range from the quasi-static regime to the Bragg reflection (photonic bandgap) region.

© 2000 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(160.4760) Materials : Optical properties
(260.2030) Physical optics : Dispersion
(260.2110) Physical optics : Electromagnetic optics

Citation
S. A. Tretyakov and A. J. Viitanen, "Plane waves in regular arrays of dipole scatterers and effective-medium modeling," J. Opt. Soc. Am. A 17, 1791-1797 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-10-1791

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