Skip to main content
SpringerLink
Log in

The Natural Waves of a 1D Lattice of Rectangular Dielectric Rods

  • ELECTRODYNAMICS AND WAVE PROPAGATION
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

The problem about the eigen waves of the infinite periodic lattice of rectangular dielectric rods located in a plane waveguide is considered. The boundary value problem is solved with the partial domain method, and the dispersion equation for the propagation constant of an eigen wave is obtained. The fields of eigen waves are found. The expression for the characteristic impedance of the fundamental wave is obtained. Results of the numerical investigation of the behavior of the moderating ratio and the characteristic impedance of the fundamental wave of the lattice are presented.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.

Similar content being viewed by others

REFERENCES

  1. D. Schaubert, S. Kasturi, M. W. Elsallal, and W. van Cappellen, in Proc. EuCAP-2006, Nice, France, Nov. 6−10, 2006 (IEEE, New York, 2006), p. 1.

  2. D. I. Voskresenskii, Yu. V. Kotov, and E. V. Ovchinnikova, Antenny, No. 11, 7 (2005).

    Google Scholar 

  3. H. Holter, T. Chio, and D. H. Schaubert, IEEE Trans. Antennas Propag. 48, 122 (2000).

    Article  Google Scholar 

  4. S. E. Bankov, in Proc. 4th All-Russian Microwave, Moscow, Nov. 2016 (Kotel’nikov IRE RAN, Moscow, 2016), p. 265.

    Google Scholar 

  5. H. Holter, T.-H. Chio, and D. H. Schaubert, IEEE Trans. Antennas Propag. 48, 1707 (2000).

    Article  Google Scholar 

  6. S. E. Bankov, V. A. Kaloshin, and K. Z. Nguen, in Proc. 4th All-Russian Microwave, Moscow, Nov. 2016 (Kotel’nikov IRE RAN, Moscow, 2016), p. 410.

    Google Scholar 

  7. E. Acedo, E. Garcia, V. González-Posadas, et al., IEEE Trans. Antennas Propag. 58, 68 (2010).

    Article  Google Scholar 

  8. S. E. Bankov, J. Commun. Technol. Electron. 63, 524 (2018).

    Article  Google Scholar 

  9. S. E. Bankov, Zh. Radielektron. (2017). http://jre.cplire.ru/jre/nov17/12/text.pdf.

  10. S. E. Bankov and G. G. Grachev, J. Commun. Technol. Electron. 59, 119 (2014).

    Article  Google Scholar 

  11. Yu. P. Vinnichenko, L. N. Zakhar’ev, A. A. Lemanskii, et al. Radiotekh. Elektron. (Moscow) 19, 1583 (1974).

    Google Scholar 

  12. Yu. P. Vinnichenko, L. N. Zakhar’ev, A. A. Lemanskii, et al. Radiotekh. Elektron. (Moscow) 20, 1804 (1975).

    Google Scholar 

  13. V. M. Krekhtunov and B. A. Tyunin, Radiotekh. Elektron. (Moscow) 28, 209 (1983).

    Google Scholar 

  14. S. E. Bankov, V. A. Kurushin, and E. M. Guttsait, Computation of Optical and Microwave Problems with Help HFSS (Orkada, Moscow, 2012) [in Russian].

    Google Scholar 

  15. S. E. Bankov, Arrays with Series Feeding (Fizmatlit, Moscow, 2013) [in Russian].

    Google Scholar 

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

    Google Scholar 

  17. V. V. Nikol’skii, Variational Methods for Inner Problems of Electrodynamics (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

Download references

ACKNOWLEDGEMENTS

Performed in accordance with state research project 0030-2019-0014 and by the Russian Foundation for Basic Research, project no. 18-07-00655a.

Author information

Authors and Affiliations

  1. Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 125009, Moscow, Russia

    S. E. Bankov

Authors
  1. S. E. Bankov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. E. Bankov.

Additional information

Translated by I. Efimova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bankov, S.E. The Natural Waves of a 1D Lattice of Rectangular Dielectric Rods. J. Commun. Technol. Electron. 64, 439–448 (2019). https://doi.org/10.1134/S1064226919050024

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226919050024

Search

Navigation