Skip to main content
Log in

Eigenmodes of a tape helix

  • Electrodynamics and Wave Propagation
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

A quasi-static method for solution of the electromagnetic problem of waves in a uniform helix made of an infinitely thin perfectly conducting tape that can be used for the analysis of the helix eigenmodes in a broad range of the structure parameters is proposed. The electromagnetic problem is reduced to a system of integral equations for longitudinal components of electric and magnetic currents. The system of integral equations is solved in the static approximation by the method of Schwinger transforms. Explicit forms of functions describing electric and magnetic currents are found. A variational solution to the electromagnetic problem is obtained. The results of the numerical analysis of the eigenmodes of a tape helix are presented.

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. N. N. Smirnov, Dokl. Akad. Nauk SSSR 108, 243 (1956).

    Google Scholar 

  2. R. A. Silin and V. P. Sazonov, Slow-Wave Systems (Sovetskoe Radio, Moscow, 1966) [in Russian].

    Google Scholar 

  3. M. I. Kontorovich, M. I. Astrakhan, V. P. Akimov, and G. A. Fersman, Electromagnetics of Grid Structures (Radio i Svyaz’, Moscow, 1987) [in Russian].

    Google Scholar 

  4. L. A. Vainshtein, in Electronics of High Powers, Ed. by P. L. Kapitsa and L. A. Vainshtein (Akad. Nauk SSSR, Moscow, 1963), No. 2, p. 26 [in Russian].

  5. S. E. Bankov and I. V. Levchenko, Radiotekh. Elektron. (Moscow) 33, 2045 (1988).

    Google Scholar 

  6. J. Schwinger and D. Saxon, Discontinuities in Waveguides (Gordon and Breach, New York, 1968).

    Google Scholar 

  7. R. Mittra and S. W. Lee, Analytical Techniques in the Theory of Guided Waves (Macmillan, New York, 1971; Mir, Moscow, 1974).

    MATH  Google Scholar 

  8. R. Mittra and T. Itoh, IEEE Trans. Microwave Theory Tech. 19, 47 (1971).

    Article  Google Scholar 

  9. S. E. Bankov, in Interdepartmental Collection of Articles (MEI, Moscow, 1983), No. 19, p. 79 [in Russian].

    Google Scholar 

  10. V. A. Neganov, E. I. Nefedov, and G. P. Yarovoi, Stripline-Slot Structures for Ultrahigh and Extremely High Frequencies (Fizmatlit, Moscow, 1996) [in Russian].

    Google Scholar 

  11. V. A. Neganov, Physical Regularization of Ill-Posed Electrodynamic Problems: Transmission Lines, Antennas, and Diffraction of Electromagnetic Waves (“Sains-Press”, Moscow, 2008) [in Russian].

    Google Scholar 

  12. V. V. Nikol’skii, Variational Methods for Interior Problems of Electromagnetics (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  13. G. T. Markov and A. F. Chaplin, Excitation of Electromagnetic Waves (Radio i Svyaz’, Moscow, 1983) [in Russian].

    Google Scholar 

  14. R. W. P. King, Tai Tsun Wu, The Scattering and Diffraction of Waves (Harvard Univ. Press, Cambridge, 1959; Inostrannaya Literatura, Ìoscow, 1962).

    Book  Google Scholar 

  15. E. Jahnke, F. Emde, and F. Lösh, Tafeln Höherer Funktionen (B. G. Teubner, Stuttgart, 1960; Nauka, Moscow, 1964).

    MATH  Google Scholar 

  16. L. Lewin, Theory of Waveguides: Techniques for the Solution of Waveguide Problems (Newnes-Butterworths, London, 1975; Radio i Svyaz’, Moscow, 1981).

    Google Scholar 

  17. V. F. Vzyatyshev, Dielectric Waveguides (Sovetskoe Radio, Moscow, 1970) [in Russian].

    Google Scholar 

  18. G. I. Veselov and S. B. Raevskii, Layered Metal-Dielectric Waveguides (Radio i Svyaz’, Moscow, 1988) [in Russian].

    Google Scholar 

  19. S. Kh. Kogan, Dokl. Akad. Nauk SSSR 66, 867 (1949).

    MATH  Google Scholar 

  20. N. M. Sovetov and V. A. Sukhov, Radiotekh. Elektron. (Moscow) 2, 622 (1957).

    Google Scholar 

  21. C.-M. Chu, J. Appl. Phys. 29(1), 8 (1958).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. E. Bankov.

Additional information

Original Russian Text © S.E. Bankov, 2015, published in Radiotekhnika i Elektronika, 2015, Vol. 60, No. 3, pp. 223–237.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bankov, S.E. Eigenmodes of a tape helix. J. Commun. Technol. Electron. 60, 209–222 (2015). https://doi.org/10.1134/S1064226915030055

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226915030055

Keywords

Navigation