Skip to main content
SpringerLink
Log in

Numerical Implementation of the Double-Weighted Fourier Transforms in the Problems of Wave Propagation in Inhomogeneous Media

  • Published:
Radiophysics and Quantum Electronics Aims and scope

A numerical scheme for calculating direct and inverse double-weighted Fourier transform (DWFT) in the problems of wave propagation in inhomogeneous media on the basis of the fast Fouriertransform algorithm is proposed. The sampling step for which it is possible to recover a continuous field without information loss is estimated. The numerical calculation data are given and the obtained results are discussed.

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 56, No. 7, pp. 514–523, July 2013.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. B. Hansen and A. D. Yaghjian, Plane-Wave Theory of Time-Domain Fields: Near-Field Scanning Applications, IEEE Press, New York (1999).

    Book  MATH  Google Scholar 

  2. Yu. A. Kravtsov and M. V. Tinin, Radio Sci., 35, 1315 (2000).

    Article  ADS  Google Scholar 

  3. M. V. Tinin and Yu. A. Kravtsov, Plasma Phys. Contr. Fusion, 50, 1 (2008).

    Google Scholar 

  4. A. A.Kulizhsky and M. V. Tinin, Radiophys. Quantum Electron., 55, No. 8, 483 (2012).

    Article  ADS  Google Scholar 

  5. A. V. Oppenheim and R, W. Schafer, Digital Signal Processing, Prentice-Hall, Englewood Cliffs, N.J. (1975).

  6. D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing, Prentice-Hall, Englewood Cliffs, N.J. (1984).

    MATH  Google Scholar 

  7. L. Hörmander, The Analysis of Linear Partial Differential Operators, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo (1983).

    Book  Google Scholar 

  8. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statristical Radiophysics 3, Elements of Random Fields, Springer-Verlag, Berlin (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Irkutsk State University, Irkutsk, Russia

    A. V. Kulizhsky

Authors
  1. A. V. Kulizhsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Kulizhsky.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kulizhsky, A.V. Numerical Implementation of the Double-Weighted Fourier Transforms in the Problems of Wave Propagation in Inhomogeneous Media. Radiophys Quantum El 56, 464–472 (2013). https://doi.org/10.1007/s11141-013-9450-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-013-9450-0

Keywords

Search

Navigation