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Theory of Perturbation of Electrostatic Field by an Anisotropic Dielectric Sphere

Theory of Perturbation of Electrostatic Field by an Anisotropic Dielectric Sphere

The boundary-value problem for the perturbation of an electric potential by a homogeneous anisotropic dielectric sphere in vacuum was formulated. The total potential in the exterior region was expanded in series of radial polynomials and tesseral harmonics, as is standard for the Laplace equation. A bijective transformation of space was …