The general problem of calculating the radiation field of an antenna immersed in a moving dispersive medium is formulated as an algebraic equation in wave-vector frequency space for the potential 4-vector in the rest frame of the antenna, and is solved in terms of a Green's function having the form of a one-dimensional integral. The special case where the moving medium is a homogeneous ionized gas (plasma) and the antenna is an oscillating dipole is studied in detail. It is found that the far-zone field is not transverse and the Poynting vector is not purely radial.
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Lee et al. (1965) studied this question.
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