Skip to main content
Log in

Representation of electric field strength and potential in the region with circular n-connection boundary as a sum of space harmonics

  • Published:
Radioelectronics and Communications Systems Aims and scope Submit manuscript

Abstract

The possibility and reasonability of representing the electric field strength and potential on an open complex plane with n-connected circular boundary and equal lengths of bounding arcs as a sum of space harmonics is shown. Analysis on presence or absence of space harmonics is conducted and their amplitudes are calculated.

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

Access this article

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. Yu. F. Zin’kovskii, Yu. K. Sidoruk, and A. V. Goloshchapov, “The problem of conjugation in calculations of electric field strength and potential of a ring-shaped multiply connected structure,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 50(5), 76 (2007) [Radioelectron. Commun. Syst. 50(5), 284 (2007)].

    Google Scholar 

  2. Yu. F. Zin’kovskii, Yu. K. Sidoruk, and A. V. Goloshchapov, “Electric field density in the region with circular multiply connected border and equal lengths of bounding arcs,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 52(2), 14 (2009) [Radioelectron. Commun. Syst. 52(2), 63 (2009)].

    Google Scholar 

  3. L. D. Goldstein and N. V. Zernov, Electromagnetic Fields and Waves (Moscow, Sov. Radio, 1971) [in Russian].

    Google Scholar 

  4. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products (Moscow, Nauka, 1971) [in Russian].

    Google Scholar 

  5. E. Yanke, F. Emde, and F. Lesh, Special Functions (Formulas, Graphs, Tables) (Moscow, Nauka, 1968) [in Russian].

    Google Scholar 

  6. M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Variable Functions Theory (St. Petersburg, Lan’, 2002) [in Russian].

    Google Scholar 

  7. N. I. Muskhelishvili, Singular Integral Equations: Boundary Problems of the Functions Theory and Some Their Application to Mathematical Physics (Moscow, Nauka, 1968) [in Russian].

    Google Scholar 

  8. F. D. Gakhov, Boundary Problems (Moscow, Nauka, 1977) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © Yu.F. Zin’kovskii, Yu.K. Sidoruk, A.V. Goloshchapov, 2009, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2009, Vol. 52, No. 7, pp. 11–19.

About this article

Cite this article

Zin’kovskii, Y.F., Sidoruk, Y.K. & Goloshchapov, A.V. Representation of electric field strength and potential in the region with circular n-connection boundary as a sum of space harmonics. Radioelectron.Commun.Syst. 52, 340–346 (2009). https://doi.org/10.3103/S0735272709070024

Download citation

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0735272709070024

Keywords

Navigation