The computation of ELF radio wave fields in the earth-ionosphere duct

Physics

Scientific paper

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Earth Ionosphere, Extremely Low Radio Frequencies, Ionospheric Propagation, Legendre Functions, Asymptotic Methods, Electric Dipoles, Hypergeometric Functions, Lower Ionosphere, Very Low Frequencies

Scientific paper

A technique for computing the Legendre functions which arise in the theory of propagation of ELF radio waves in the earth-ionosphere duct is presented. Four different representations of the Legendre functions are given in terms of hypergeometric series. The technique is shown to provide high precision using a much small number of terms than that required by alternative methods.

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