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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
Article

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.

Keywords

Magnetic Dipole Layered Medium Direct Problem Fast Computation Exponential Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    V. I. Dmitriev, Electromagnetic Fields in Nonhomogeneous Media [in Russian], Moscow, Izd. MGU (1969).Google Scholar
  2. 2.
    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
  3. 3.
    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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