Abstract
The problem of scattering by a radially inhomogeneous cylindrical dielectric shell due to an incident Gaussian beam is solved by a boundary-value procedure after first adapting a simplification proposed by Kozaki. The scattering coefficient is expressed as a product of the scattering coefficient due to an incident plane wave and a weighting function. Both transverse magnetic and transverse electric polarizations of the incident beam source are considered, and some representative numerical results of the scattered power pattern and the normalized backscattering cross section are presented for two specific inhomogeneous profiles. The variations of these quantities with the physical parameters of the dielectric shell are studied.

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