Skip to main content
SpringerLink
Log in

The method of auxiliary sources applied to problems of electromagnetic wave diffraction by certain metal-dielectric structures

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

Commemorating the hundredth birthday of Ya.N. Fel’d, who significantly contributed to the development of radiophysics in Georgia

Abstract

The method of auxiliary sources is applied to solve problems of electromagnetic wave diffraction by certain metal-dielectric structures that are finite 3D periodic lattices embedded in an ordinary dielectric. On the basis of the structures under study, the possibilities of designing antenna devices with a desired pattern and the rotating polarization are considered. A software packet is developed for computer simulation of such structures. The software is oriented to performing the corresponding computational experiments.

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. N. Engheta and R. W. Ziolkowski, Metamaterials, Physics and Engineering Explorations (Wiley-IEEE, Piscataway, NJ, 2006).

    Book  Google Scholar 

  2. G. V. Eleftheriades and K. G. Balmain, Negative-Refraction Metamaterials. Fundamental Principles and Applications (Wiley, Hoboken, 2005).

    Book  Google Scholar 

  3. I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media (Artech House, Boston, 1994).

    Google Scholar 

  4. R. Zaridze, G. Bit-Babik, K. Tavzarashvili, et al., IEEE Trans. Antennas Propag. 50, 50 (2002).

    Article  Google Scholar 

  5. V. Tabatadze, Jr. A. Bijamov, D. Kakulia, et al., Int. J. Infrared Millimeter Waves 29, 1172 (2008).

    Article  Google Scholar 

  6. A. Rolland, D. Kakulia, I. Petoev, et al., in Proc. 11th Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET-2008), Odessa, 29 Jun.–02 Jul. 2008 (IEEE, New York, 2008), p. 208.

    Book  Google Scholar 

  7. V. Tabatadze, I. Petoev, and R. Zaridze, in Proc. 13th Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET-2010), Kyiv, Sep. 6–8, 2010 (IEEE, New York, 2010), Doi 10.1109/MMET.2010.5611435.

    Google Scholar 

  8. I. Petoev, V. Tabatadze, and R. Zaridze, in Proc. 5th Eur. Conf. on Antennas and Propagation (EUCAP-2011), Rome, Italy, Apr. 11–15, 2011 (EurAAP, Rome, Italy, 2011), p. 1157.

    Google Scholar 

  9. R. Zaridze, G. Bit-Babik, D. Karkashadze, et al., The Method of Auxiliary Sources (MAS). Solution of Propagation, Diffraction and Inverse Problems Using MAS (Isnt. of Communicat., Computers Systems, Athens, 1998).

    Google Scholar 

  10. V. D. Kupradze, Usp. Mat. Nauk 22(2), 59 (1967).

    MATH  MathSciNet  Google Scholar 

  11. I. N. Vekua, Rep. Acad. Sci. USSR 90, 715 (1953).

    MATH  MathSciNet  Google Scholar 

  12. R. S. Popovidi-Zaridze, Preprint No. 14(386) (IRE AN SSSR, Moscow, 1984).

  13. A. G. Kyurkchan, in Proc 13th Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET-2010), Kyiv, Sep. 6–8, 2010 (IEEE, New York, 2010), Doi 10.1109/MMET.2010.5611411.

    Google Scholar 

  14. V. P. Kopaleishvili and R. S. Popovidi-Zaridze, Radiotekh. Elektron. (Moscow) 17, 1374 (1972).

    Google Scholar 

  15. V. P. Kopaleishvili and R. S. Popovidi-Zaridze, Radiotekh. Elektron. (Moscow) 17, 2432 (1972).

    Google Scholar 

  16. R. S. Zaridze, D. D. Karkashadze, and D. Sh. Khatiashvili, Computation of Longitudinally Regular Waveguides by Means of the Method of Auxiliary Sources (Inst. Prikl. Matem, Tbilisi, 1985) [in Russian].

    Google Scholar 

  17. R. S. Popovidi-Zaridze, D. D. Karkashadze, G. Z. Akhvlediani, et al., Radiotekh. Elektron. (Moscow) 26, 254 (1981).

    Google Scholar 

  18. M. A. Aleksidze, Fundamental Functions of Equations of Mathematical Physics in Approximate Solutions to Boundary Value Problems (Tbilis. Gos. Univ., Tbilisi, 1989), Part 1, p. 158 [in Russian].

    Google Scholar 

  19. D. Kakulia, L. Manukyan, D. Mazmanov, et al., J. Appl. Electromagnetism 9(2), 39 (2007).

    Google Scholar 

  20. V. V. Nikol’skii, Electromagnetics and Propagation of Radio Waves (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  21. Lee Jungwon and Nam. Sangwook, IEEE Microwave Wireless Compon. Lett. 15(3), 186 (2005).

    Article  Google Scholar 

  22. V. F. Apel’tsin, R. S. Zaridze, D. D. Karkashadze, et al., in Proc. 9th All-Union School on Diffraction and Propagation of Waves, Kazan, 1988 (Kazan. Aviats. Inst., Kazan, 1988) [in Russian].

    Google Scholar 

  23. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941; Gostekhizdat, Moscow, 1948).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tbilisi State University, pr. Chavchavadze 3, Tbilisi, 0128, Georgia

    I. M. Petoev, V. A. Tabatadze & R. S. Zaridze

Authors
  1. I. M. Petoev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Tabatadze
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. S. Zaridze
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. M. Petoev.

Additional information

Original Russian Text © I.M. Petoev, V.A. Tabatadze, R.S. Zaridze, 2013, published in Radiotekhnika i Elektronika, 2013, Vol. 58, No. 5, pp. 451–463.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petoev, I.M., Tabatadze, V.A. & Zaridze, R.S. The method of auxiliary sources applied to problems of electromagnetic wave diffraction by certain metal-dielectric structures. J. Commun. Technol. Electron. 58, 404–416 (2013). https://doi.org/10.1134/S1064226913050069

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226913050069

Keywords

Search

Navigation