Skip to main content
SpringerLink
Log in

Solving a Two-Dimensional Telegraph Equation with Anisotropic Parameters

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

We solve a two-dimensional telegraph equation with anisotropic parameters, which models the propagation of electromagnetic waves in the Earth–ionosphere waveguide, in the frequency range 0.1-30 Hz. The results are generalized to allow for the Earth's sphericity and the horizontal inhomogeneity of the waveguide. It is shown that the resonance character of reflection from the ionosphere at frequencies below 10 Hz becomes pronounced for the horizontal magnetic-field components and for the vertical electric-field component of a horizontal dipole. In the case of low solar activity under nighttime conditions, the oscillations in the frequency dependences of the field components are much more pronounced compared with the case of high solar activity.

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.

Similar content being viewed by others

REFERENCES

  1. P. P. Belyaev, S. V. Polyakov, V. O. Rapoport, and V. Yu. Trakhtengerts, Radiophys. Quantum Electron., 32, No. 6, 491 (1989).

    Google Scholar 

  2. P.P. Belyaev, S. V. Polyakov, V. O. Rapoport, and V. Yu. Trakhtengerts, in: Abstracts XVIII All-Russia Conf. on Radio Wave Propagation. St.Petersburg [in Russian], Moscow (1996), p. 36.

  3. P. P. Belyaev, S. V. Polyakov, V. O. Rapoport, and V. Yu. Trakhtengerts, Radiophys. Quantum Electron., 32, No. 7, 594 (1989).

    Google Scholar 

  4. Yu. P. Galyuk, V. V. Kirillov, and G. I. Makarov, Proparagion of Kilometer Radio Waves [in Russian], YuFAN Press, Apatity (1987), p. 45.

    Google Scholar 

  5. V. V. Kirillov, Problems of Diffraction and Propagation of Waves [in Russian], St. Petersburg State Univ. Press, St. Petersburg (1993), p. 35.

    Google Scholar 

  6. V. V. Kirillov, Radiophys. Quantum Electron., 39, No. 9, 737 (1996).

    Google Scholar 

  7. V. V. Kirillov, V. N. Kopeykin, and V. K. Mushtak, Geomagn. Aéron., 37, No. 3, 114 (1997).

    Google Scholar 

  8. V. V. Kirillov, Radiotekh. Élektron., 43, No. 7, 779 (1998).

    Google Scholar 

  9. E. Jahnke, F. Emde, and F. Lösch, Tables of Higher Functions, McGraw-Hill, New York (1960).

    Google Scholar 

  10. G. Bateman and Erdélyi, Higher Transcendental Functions. Hypergeometric Function. Legendre Function [Russian translation], Nauka, Moscow (1973), pp. 128-129.

    Google Scholar 

  11. V. V. Kirillov and V. N. Kopeykin, in: Abstracts IV Regional Conf. on Radio Wave Propagation [in Russian], St. Petersburg (1988), p. 4.

Download references

Author information

Authors and Affiliations

  1. Research Institute of Radiophysics of the St.Petersburg State University, St.Petersburg, Russia

    V. V. Kirillov & V. N. Kopeykin

Authors
  1. V. V. Kirillov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Kopeykin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kirillov, V.V., Kopeykin, V.N. Solving a Two-Dimensional Telegraph Equation with Anisotropic Parameters. Radiophysics and Quantum Electronics 45, 929–941 (2002). https://doi.org/10.1023/A:1023525331531

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023525331531

Keywords

Search

Navigation