Skip to main content
SpringerLink
Log in

Equivalence of integral and integrofunctional equations in electrodynamic problems of diffraction by inhomogeneous bodies

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

Relations for fields with specified distributions of volume electric and magnetic currents are investigated. The dependence of the term outside the integral on the limit method for calculation of improper integrals is shown; an evaluation method is proposed. The relations are used to establish equivalence between integral equations with volume polarization currents and integrofunctional equations of the standard boundary-value problem of electrodynamic for an inhomogeneous ferrite body. It is shown that the solutions of both types of equations satisfy the boundary conditions. The practical use of integrofunctional equations in the form of systems of integral equations of the second kind and functional equations is discussed.

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

Literature Cited

  1. N. A. Khizhnyak, Zh. Tekh. Fiz.,28, No. 7, 1592 (1958).

    Google Scholar 

  2. A. B. Samokhin, Zh. Vyssh. Mat. Mat. Fiz.,13, No. 6, 1402 (1973).

    Google Scholar 

  3. O. Sh. Dautov and V. N. Dymskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,18, No. 5, 736 (1975).

    Google Scholar 

  4. O. Sh. Dautov, Collection of Scientific and Methodological Articles on Applied Aerodynamics [in Russian], Issue 2, Vysshaya Shkola, Moscow (1978), p. 112.

    Google Scholar 

  5. E. N. Vasil'ev, Excitation of Bodies of Revolution [in Russian], Radio i Svyaz' Moscow (1987).

    Google Scholar 

  6. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  7. R. Feynman, R. Layton, and M. Sands, Feynman Lectures in Physics [Russian translation], Issue 5, Mir, Moscow (1977).

    Google Scholar 

  8. G. T. Markov and A. F. Chaplin, Excitation of Electromagnetic Waves [in Russian], Energiya, Moscow-Leningrad (1967).

    Google Scholar 

  9. V. D. Kupradze, Usp. Mat. Nauk,22, No. 2, 59 (1967).

    Google Scholar 

Download references

Authors
  1. O. Sh. Dautov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kazan' Aviation Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 34, No. 8, pp. 936–946, August, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dautov, O.S. Equivalence of integral and integrofunctional equations in electrodynamic problems of diffraction by inhomogeneous bodies. Radiophys Quantum Electron 34, 749–756 (1991). https://doi.org/10.1007/BF01036982

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01036982

Keywords

Search

Navigation