Abstract
The electromagnetic field in air of a radiating electric dipole located below and tangential to the surface of a homogeneous, isotropic and optically dense sphere is studied anew. The starting point is the eigenfunction expansion for the field in spherical harmonics, which is now converted into series of integrals via the Poisson summation formula. A creeping-wave structure for all six components along the boundary is revealed that consists of waves exponentially decreasing through air and rays bouncing and circulating inside the sphere. The character of individual modes of propagation and the interplay between “electric” and “magnetic” types of polarization are investigated. Connections with and differences from standard ray optics and the cases of the radiating vertical dipole and scalar plane-wave scattering are outlined.
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