Artificial Dielectric Based on Resistive Squares


Based on the solution to the problem of diffraction of an electromagnetic wave normally incident onto a multilayer array of resistive elements, the dispersion of the effective permittivity of a structure comprised of resistive squares placed into a dielectric layer is calculated. It is established that the dispersion has a relaxation character. The feasibility of controlling the dispersion characteristic in a wide range by varying the parameters of the structure is shown. The ratio of the wavelength to the period of the structure at which the structure under consideration is adequately represented by a homogeneous layer is estimated.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.


  1. 1

    B. F. Alimin, Zarubezh. Radioelektron., No. 2, 75 (1989).

  2. 2

    H. T. Liu, H. F. Cheng, Z. Y. Chu, and D. Y. Zhang, Mater. Design 28, 2166 (2007).

    Article  Google Scholar 

  3. 3

    V. V. Slutskaya, Thin Films in Microwave Technology (Gosenergoizdat, Moscow, 1962) [in Russian].

    Google Scholar 

  4. 4

    Yu. N. Kazantsev and G. A. Kraftmakher, Pis’ma Zh. Tekh. Fiz. 13, 649 (1987).

    Google Scholar 

  5. 5

    V. I. Ponomarenko, I. K. Kupriyanov, and S. I. Zhuravlev, Radiotekh. Elektron. (Moscow) 37, 346 (1992).

    Google Scholar 

  6. 6

    V. I. Ponomarenko, Izv. Vyssh. Uchebn. Zaved. Elektromekh., No. 5, 518 (1982).

  7. 7

    V. I. Ponomarenko, D. I. Mirovitskii, and I. F. Budagyan, Radiotekhnika 39 (11), 68 (1984).

    Google Scholar 

  8. 8

    V. I. Ponomarenko and S. I. Zhuravlev, Radiotekh. Elektron. (Moscow) 37, 812 (1992).

  9. 9

    V. I. Ponomarenko, Radiotekhnika 45 (5), 82 (1990).

    Google Scholar 

  10. 10

    Yu. N. Kazantsev, V. A. Babayan, N. E. Kazantseva, O. A. D’yakonova, R. Mouchka, Ya. Vilchakova, and P. Saha, J. Commun. Technol. Electron. 58, 233 (2013).

    Article  Google Scholar 

  11. 11

    V. I. Ponomarenko and I. M. Lagunov, Composition Materials: Development and Application (SibAK, Novosibirsk, 2017), p. 112.

  12. 12

    A. S. Il’inskii and A. G. Sveshnikov, Numerical Methods in Problems of Diffraction on Heterogeneous Periodic Structures (Vysshaya Shkola, Moscow, 1977).

    Google Scholar 

  13. 13

    V. V. Nikol’skii and T. I. Nikol’skaya, Electrodynamics and Radiopropagation (Nauka, Moscow, 1989; Springer-Verlag, New York, 1984).

  14. 14

    V. I. Ponomarenko and I. M. Lagunov, J. Commun. Technol. Electron. 62, 765 (2017).

    Article  Google Scholar 

  15. 15

    V. P. Shestopalov, L. N. Litvinenko, S. A. Masalov, and V. G. Sologub, Wave Diffraction by Gratings (Khark. Gos. Univ., Kharkov, 1973) [in Russian].

    Google Scholar 

  16. 16

    G. Golub and C. Van Loan, Matrix Computations (Johns Hopkins Univ. Press, Baltimore, 1996; Mir, Moscow, 1999).

Download references

Author information



Corresponding author

Correspondence to V. I. Ponomarenko.

Additional information

Translated by E. Chernokozhin

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Ponomarenko, V.I., Lagunov, I.M. Artificial Dielectric Based on Resistive Squares. J. Commun. Technol. Electron. 64, 457–462 (2019).

Download citation