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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 5 — May. 1, 2010
  • pp: 1171–1184

Statistical study of radiation loss from planar optical waveguides: The curvilinear coordinate method and the small perturbation method

Saddek Afifi and Richard Dusséaux  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1171-1184 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001171


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Abstract

This article presents an original method for the theoretical analysis of the intensity radiated by a dielectric waveguide with rough walls. The method is based on Maxwell’s equations under their covariant form written in nonorthogonal coordinate systems adapted to the geometry of the waveguide. The solutions are found by using a perturbation method starting from a guide with smooth walls. The statistical characteristics of the radiant intensity, the mean value, and the probability density function are analytically determined.

© 2010 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(240.5770) Optics at surfaces : Roughness
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(350.5610) Other areas of optics : Radiation

ToC Category:
Optics at Surfaces

History
Original Manuscript: February 10, 2010
Manuscript Accepted: March 17, 2010
Published: April 30, 2010

Citation
Saddek Afifi and Richard Dusséaux, "Statistical study of radiation loss from planar optical waveguides: The curvilinear coordinate method and the small perturbation method," J. Opt. Soc. Am. A 27, 1171-1184 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1171

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