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An analytical solution to the scattering by gyrotropic anisotropic spherical shell

Electromagnetic fields in gyrotropic anisotropic spherical shell can be expressed as the addition of the first and second spherical vector wave functions in gyrotropic anisotropic medium. Applying the boundary conditions of electromagnetic fields in the interface of gyrotropic anisotropic spherical shell's medium, the expansion coefficients of electromagnetic fields in terms of spherical vector wave functions in gyrotropic anisotropic medium and free space can be derived, and then the radar cross sections (RCSs) of a plane wave scattering by gyrotropic anisotropic spherical shell can be obtained. Numerical results for the very general gyrotropic dielectric medium are obtained and those in special cases are compared between the present method and homogeneous gyrotropic anisotropic sphere or plasma spherical shell, they are agreement very well.