Computational Mathematics and Modeling

, Volume 19, Issue 3, pp 263–270 | Cite as

Fast computation of the field of a vertical magnetic dipole above a layered medium

  • V. I. Dmitriev
  • M. S. Kruglyakov


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.


Magnetic Dipole Layered Medium Direct Problem Fast Computation Exponential Factor 
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    V. I. Dmitriev, Electromagnetic Fields in Nonhomogeneous Media [in Russian], Moscow, Izd. MGU (1969).Google Scholar
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    W. L. Anderson, “Numerical integration of related Hankel transforms of order 0 and 1 by adaptive digital filtering,” Geophysics, 44, 1287–1305 (1979).CrossRefGoogle Scholar
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    P. K. Gupta, S. Niwas, and N. Chaudhary, “Fast computation of Hankel transform using orthonormal exponential approximation of complex kernel function,” J. Earth System Sci., 115, No. 3 (2006).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia
  2. 2.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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