High-Frequency Scattering From Radially Uniaxial Dielectric Sphere

Abstract

High-frequency backscattering caused by a large uniaxial dielectric sphere is presented in this letter. The term high frequency implies ${Ka} \gg 1$ where $K$ and $a$ are the propagation constant and radius of the sphere, respectively. Using a modified Watson transformation, the slowly convergent generalized Mie series summation for a uniaxial dielectric sphere is transformed into a rapidly convergent contour integral. The generalized Debye series of the uniaxial dielectric spheres is introduced, and the Mie series coefficients are replaced by their equivalent Debye series formulations. An expression for the high-frequency backscattered field is proposed, and the monostatic radar cross section (RCS) of a large uniaxial dielectric sphere is calculated.