Abstract

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

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