Abstract

A theory of light scattering by closely spaced parallel radially stratified cylinders embedded in a finite dielectric slab is presented. The refractive indices of the slab and the half-spaces on both sides of the slab are assumed to be real but arbitrary. No restriction is placed on the polarization and the propagation direction of the incident wave, the diameter of the cylinders, the intercylinder spacing, and the wavelength of the incident radiation. Each cylinder can have any number of concentric layers of stratification, and the complex refractive index of each layer can be different. A rigorous solution of Maxwell’s equations is developed by accounting for depolarization effects that are due to oblique incidence on the cylinders, refraction of scattered waves at the slab boundaries, and coherent scattering between the cylinders. The scattering characteristics of a slab containing a specific configuration of cylinders are examined by numerical data for several combinations of refractive indices of the slab and the half-spaces. In addition, the present scattering theory is applied to obtain the solutions for the cases of cylinders embedded in a semi-infinite medium, cylinders located in front of a reflecting–transmitting plane, and cylinders in an infinite homogeneous medium.

© 1999 Optical Society of America

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