Fast computation of the field of a vertical magnetic dipole above a layered medium |
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| Authors: | V I Dmitriev M S Kruglyakov |
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| Institution: | (1) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia;(2) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia |
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| Abstract: | We consider the direct problem of aeroelectrosounding for a layered medium. The specific feature of this problem is that its
solution is representable as a Bessel transform of a function ƒ of a certain type. We have developed and implemented a method
for fast computation of the Bessel transform of such functions. The method relies on the approximation of ƒ by a linear combination
of exponentials with prespecified exponents. The Bessel transform of the original function ƒ is computed analytically as the
Bessel transform of the approximating linear combination. Numerical computations have been carried out.
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Translated from Prikladnaya Matematika i Informatika, No. 26, pp. 39–48, 2007. |
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