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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 9, Iss. 9 — Oct. 22, 2001
  • pp: 461–475

Propagation in planar waveguides and the effects of wall roughness

J. Merle Elson  »View Author Affiliations

Optics Express, Vol. 9, Issue 9, pp. 461-475 (2001)

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We consider the propagation of guided waves in a planar waveguide that has smooth walls except for a finite length segment that has random roughness. Maxwell’s equations are solved in the frequency domain for both TE and TM polarization in 2-D by using modal expansion methods. Obtaining numerical solutions is facilitated by using perfectly matched boundary layers and the R-matrix propagator.Varying lengths of roughness segments are considered and numerical results are obtained for guided wave propagation losses due to roughness induced scattering. The roughness on each waveguide boundary is numerically generated from an assumed Gaussian power spectrum. The guided waves are excited by a Gaussian beam incident on the waveguide aperture. Considerable numerical effort is given to determine the stability of the algorithm.

© Optical Society of America

OCIS Codes
(230.7390) Optical devices : Waveguides, planar
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Research Papers

Original Manuscript: September 28, 2001
Published: October 22, 2001

J. Merle Elson, "Propagation in planar waveguides and the effects of wall roughness," Opt. Express 9, 461-475 (2001)

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