Abstract
The applicability of the method for solving the problem of diffraction by resistive gratings, based on solving the problem of exciting the Floquet channel by current elements to the calculation of structures with planar ideal gratings, is shown. A quasi-static approximation formula is obtained for the effective dielectric constant of a flat single-layer grating based on perfectly conducting squares. Comparative calculations of the reflection coefficient by diffraction and quasi-static methods for single-layer and two-layer gratings with dielectric layers are carried out.
Similar content being viewed by others
REFERENCES
V. P. Shestopalov, L. N. Litvienko, S. A. Masalov, and V. G. Sologub, Grating Wave Diffraction (Khar’kov. Univ., Khar’kov, 1973).
I. A. Kaz’min, “Diffraction of electromagnetic waves on planar multiresonance frequency-selective surfaces with canonical elements,” Thesis Candidate Phys. Math. Sci. (Rostov-na-Donu, 2008).
R. Dickie, R. Cahill, H. S. Gamble, et al., Proc IEE Microwaves Antennas Propag. 151, 31 (2004).
A. M. Lerer, D. E. Zelenchuk, V. V. Makhno, et al., in Proc. 1st Int. Congr. on Advanced Electromagnetic Matenals in Microwaves and Optics “Metamaterials– 2007”, (Rome, Oct. 22–26, 2007) (Metamaterials, 2007), p. 750.
S. E. Bankov, J. Commun. Technol. Electron. 63, 315 (2018).
V. I. Ponomarenko and I. M. Lagunov, J. Commun. Technol. Electron. 64, 457 (2019).
V. I. Ponomarenko and I. M. Lagunov, Composites: Designing and Applying (ANS “SibAK”, Novosibirsk, 2017), p. 112.
V. I. Ponomarenko and I. M. Lagunov, J. Commun. Technol. Electron. 62, 765 (2017).
Matthew N. O. Sadiku, Numerical Techniques in Electromagnetics (CRC, London, 2001).
E. I. Nefedov and A. N. Sivov, Electromagnetics of Periodic Structures (Nauka, Moscow, 1977).
B. A. Belyaev, V. V. Tyurnev and N. V. Volkov, J. Commun. Technol. Electron. 64, 664 (2019).
M. A. Al-Joumayly and N. Behdad, IEEE Trans. Antennas Propag. 58, 4030 (2010).
V. I. Ponomarenko, Izv. Vyssh. Uchebn. Zaved. Elektromekh., No. 5, 518 (1982).
V. I. Ponomarenko, D. I. Mirovitskii, and I. F. Budagyan, Radiotekhnika 39 (11), 68 (1984).
V. I. Ponomarenko and S. I. Zhuravlev, Radiotekh. Elektron. (Moscow) 37, 812 (1992).
Yu. N. Kazantsev, V. A. Babayan, N. E. Kazantseva, O. A. D’yakonova, R. Mouchka, Ya. Viláková, and P. Sáha, J. Commun. Technol. Electron. 58, 233 (2013).
V. V. Slutskaya, Thin Films in Microwave Technics (Gosenergoizdat, Moscow, 1962) [in Russian].
M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light (Pergamon, Oxford, 1964; Mir, Moscow, 1970).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ponomarenko, V.I., Lagunov, I.M. Calculating Periodic Structures Based on Ideally Conductive Squares. J. Commun. Technol. Electron. 65, 1374–1378 (2020). https://doi.org/10.1134/S1064226920110133
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226920110133