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Optics Letters

Optics Letters


  • Vol. 6, Iss. 12 — Dec. 1, 1981
  • pp: 601–603

Scattering of optical guided waves by waveguide surface roughness: a three-dimensional treatment

D. G. Hall  »View Author Affiliations

Optics Letters, Vol. 6, Issue 12, pp. 601-603 (1981)

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The scattering of optical guided waves by waveguide surface roughness has been analyzed in three dimensions. The scattered fields were determined by satisfying the boundary conditions to first order in the height of the surface roughness. The utility of the theory for practical problems is illustrated by developing explicit formulas for the power radiated by a TE guided wave into the medium above the planar waveguide. These formulas are expressed in terms of the surface autocorrelation function.

© 1981 Optical Society of America

Original Manuscript: August 7, 1981
Published: December 1, 1981

D. G. Hall, "Scattering of optical guided waves by waveguide surface roughness: a three-dimensional treatment," Opt. Lett. 6, 601-603 (1981)

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  1. A recent review was given by J. M. Elson, J. M. Bennett, “Vector scattering theory,” Opt. Eng. 18, 116 (1979).
  2. J. T. Boyd, D. B. Anderson, “Effect of waveguide optical scattering on the integrated optical spectrum analyzer dynamic range,” IEEE J. Quantum Electron. QE-14, 437 (1978). [CrossRef]
  3. D. Marcuse, “Mode conversion caused by surface imperfections of a dielectric slab waveguide,” Bell. Syst. Tech. J. 48, 3187 (1969).
  4. Y. Suematsu, K. Furuya, M. Hakuta, K. Chiba, “Farfield radiation pattern caused by random wall distortion of dielectric waveguides and determination of correlation length,” Electron. Commun. Jpn. 56-C, 62 (1973).
  5. D. G. Hall, “Comparison of two approaches to the waveguide scattering problem,” Appl. Opt. 19, 1732 (1980). [CrossRef] [PubMed]
  6. E. Kröger, E. Kretschmann, “Scattering of light by slightly rough films including plasma resonance emission,” Z. Phys. 237, 1 (1970). [CrossRef]
  7. J. M. Elson, J. M. Bennett, “Relation between the angular dependence of scattering of the statistical properties of optical surfaces,” J. Opt. Soc. Am. 69, 31 (1979). [CrossRef]
  8. See, for example, H. Kogelnik, “Theory of dielectric waveguides” in Integrated Optics, T. Tamir, ed. (Springer-Verlag, New York, 1979), p. 47.

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