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A rigorous and easily computed formula for the total radiation from an arbitrary current distribution above a plane ``earth'' of arbitrary characteristics is developed. The fields may also be found, though they are not needed to compute the energy radiated. As a by-product, two new expansions in cylindrical coordinates of i(1)eikr12/r12, where i(1) is a vector, are found.
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Hansen et al. (1936) studied this question.
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