Scattering by obstacles in an inhomogeneously filled waveguide

Abstract
This paper explores the application of a previously developed ray‐optical theory for scattering by discontinuities in weakly inhomogeneous parallel‐plane waveguides or ducts. Emphasis is placed on peculiarities that distinguish scattering calculations in inhomogeneous mediums from those in homogeneous mediums. Attention is given to the role of edge‐diffraction singularities in the computation of modal reflection and transmission coefficients, to the relation between ray‐optical and Kirchhoff diffraction solutions, to modifications of the ray method in regions of strong variation of refractive index, and to the sensitivity of ray‐optical results to the choice of certain generating functions employed in the theory. Numerical computations for guides with linear profiles, inverse‐square profiles, and related homogeneously filled circular‐waveguide configurations illustrate details of these considerations and permit comparisons with results obtained eslewhere.

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