Skip to main content
SpringerLink
Log in

The characteristics of a cylindrical dielectric resonator calculated by means of the method of extended boundary conditions

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

Abstract

Equations for simulation of a cylindrical dielectric resonator are obtained by means of the method of extended boundary conditions (MEBC). The convergence and stability of the numerical algorithm based on the MEBC are considered. The properties of the whispering-gallery eigenmodes of cylindrical resonators with cross section of various shapes are studied.

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

References

  1. V. N. Derkach, T. V. Bagmut, R. V. Golovashchenko, et al., Radiofiz. Elektron. 12, 421 (2007).

    Google Scholar 

  2. J. Krupka, K. Derzakowski, A. Abramowicz, et al., IEEE Trans. Microwave Theory Tech. 47, 752 (1999).

    Article  Google Scholar 

  3. A. S. Rybalko, S. P. Rubets, E. Ya. Rudavskii, et al., Fiz. Nizk. Temp. (Kiev) 34, 326 (2008).

    Google Scholar 

  4. G. C. Righini, Y. Dumeige, P. Feron, et al., Riv. Nuovo Cimento 34, 435 (2011).

    Google Scholar 

  5. M. L. M. Balisteri, D. J. W. Klunder, F. C. Blom, et al., J. Opt. Soc. Am. 18, 465 (2001).

    Article  Google Scholar 

  6. M. K. Chin, D. Y. Chu, and S.-T. Ho, J. Appl. Phys. 75, 3302 (1994).

    Article  Google Scholar 

  7. J. A. Stratton and L. J. Chu, Phys. Rev. 56(1), 99 (1939).

    Article  Google Scholar 

  8. V. I. Dmitriev and E. V. Zakharov, Integral Equations in Boundary Value Problems of Electromagnetics (Mosk. Gos. Univ., Moscow, 1987) [in Russian].

    Google Scholar 

  9. C. J. Chao, Y. J. Liu, F. J. Rizzo, et al., IEEE Trans. Antennas Propag. 43, 1416 (1995).

    Article  Google Scholar 

  10. Y. Liu, S. Safavi-Naeini, S. K. Chudhuri, and R. Sabry, IEEE Trans. Antennas Propag. 52, 1062 (2004).

    Article  Google Scholar 

  11. M. I. Davidovich, Izv. Sarat. Univ., Ser. Fiz. 1(1), 3 (2008).

    Google Scholar 

  12. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, IEEE J. Sel. Top. Quantum Electron. 8, 1225 (2002).

    Article  Google Scholar 

  13. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, Optical and Quantum Electron 35, 545 (2003).

    Article  Google Scholar 

  14. A. G. Kyurkchan and A. P. Anyutin, Dokl. Math. 385, 132 (2002).

    MathSciNet  Google Scholar 

  15. A. G. Kyurkchan and S. A. Manenkov, J. Commun. Technol. Electron. 49, 1312 (2004).

    Google Scholar 

  16. A. G. Kyurkchan and N. I. Smirnova, J. Commun. Technol. Electron. 50, 1139 (2005).

    Google Scholar 

  17. G. D. Bogomolov and A. I. Kleev, J. Commun. Technol. Electron. 56, 1179 (2011).

    Article  Google Scholar 

  18. S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, J. Opt. Soc. Am. A21, 393 (2004).

    Article  Google Scholar 

  19. G. D. Bogomolov, A. I. Kleev, and M. A. Tarasov, J. Commun. Technol. Electron. 55, 603 (2010).

    Article  Google Scholar 

  20. G. D. Bogomolov, A. I. Kleev, and M. A. Tarasov, J. Commun. Technol. Electron. 55, 1231 (2010).

    Article  Google Scholar 

  21. L. A. Vainshtein, Open Resonators and Open Waveguides (Sovetskoe Radio, Moscow, 1966) [in Russian].

    Google Scholar 

  22. V. P. Shestopalov, Spectral Theory and Excitation of Open Structures (Naukova Dumka, Kiev, 1987) [in Russian].

    Google Scholar 

  23. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramovitz and I. A. Stegun (Dover, New York, 1965; Nauka, Moscow, 1979).

    Google Scholar 

  24. Q. Chen, Y.-Z. Huang, and L.-J. Yu, IEEE J. Quantum Electron. 42(1), 59 (2006).

    Article  Google Scholar 

  25. A. G. Kyurkchan and A. P. Anyutin, J. Commun. Technol. Electron. 51, 48 (2006).

    Article  Google Scholar 

  26. A. B. Yakovlev and G. W. Hanson, IEEE Trans. Antennas Propag. 51, 888 (2003).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kapitsa Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russia

    A. I. Kleev

Authors
  1. A. I. Kleev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Kleev.

Additional information

Original Russian Text © A.I. Kleev, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 5, pp. 421–428.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kleev, A.I. The characteristics of a cylindrical dielectric resonator calculated by means of the method of extended boundary conditions. J. Commun. Technol. Electron. 59, 385–391 (2014). https://doi.org/10.1134/S1064226914050039

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226914050039

Keywords

Search

Navigation