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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 5 — May. 1, 1982
  • pp: 628–637

Scattering from an inhomogeneity inside a dielectric-slab waveguide

Nikolaos K. Uzunoglu and John G. Fikioris  »View Author Affiliations

JOSA, Vol. 72, Issue 5, pp. 628-637 (1982)

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Scattering from cylindrical inhomogeneities immersed inside a dielectric-slab waveguide is investigated analytically. A volume integral equation technique based on Green’s function theory in regions with planar boundaries is used to formulate the problem. For the case of circularly inhomogeneous shapes, an analytical solution is developed when |b(k1 - k2)| < 1, where k1 - k2 is the difference between the wave numbers of the slab and the circular inhomogeneity whose radius is b. Analytical expressions for the reflection and transmission coefficients in the slab, when a guided surface mode is incident upon the inhomogeneity from the left, are derived up to order [b(k1 - k2)]3. Numerical results are computed and plotted for several cases.

© 1982 Optical Society of America

Nikolaos K. Uzunoglu and John G. Fikioris, "Scattering from an inhomogeneity inside a dielectric-slab waveguide," J. Opt. Soc. Am. 72, 628-637 (1982)

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  1. A. Safaai-Jazi and G. L. Yip, "Scattering from an off-axis inhomogeneity in step index optical fiber: radiation loss," J. Opt. Soc. Am. 70, 40–52 (1980).
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