Abstract:We derive an accurate and analytical expression for electromagnetic fields of a vertical magnetic dipole over an uniaxial medium half‐space. By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legendre Polynomials with the … Show more
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