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Equivalent Boundary Conditions for Isotropic Arrays

  • Electrodynamics and Wave Propagation
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Abstract

Inductive and capacitive isotropic ribbon arrays with a period small compared with the wavelength, placed at the interface between two media, are considered. Boundary value problems for the scattering of plane waves of two polarizations, incident onto the arrays at arbitrary angles, are formulated. The boundary value problems are solved by the Galerkin method. A model of an array is proposed in the form of a semitransparent film on the surfaces of which equivalent boundary conditions relating the fields on both sides of the surfaces are imposed. The theoretical solution is compared with a numerical solutions obtained using a standard system of electromagnetic simulation. It is shown that, in the low-frequency region, the equivalent boundary conditions describe the behavior of the arrays with good accuracy.

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References

  1. L. A. Vainshtein, in High-Power Electronics, Ed. by P. L. Kapitsa and L. A. Vainshtein (Akad. Nauk SSSR, Moscow, 1963) [in Russian], p. 26.

  2. E. I. Nefedov and A. N. Sivov, Electromagnetics of Periodic Structures (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  3. S. E. Bankov and I. V. Levchenko, Radiotekh. Elektron. (Moscow) 33, 2045 (1988).

    Google Scholar 

  4. M. I. Kontorovich, M. I. Astrakhan, V. P. Akimov, and G. A. Fersman, Electrodynamics of Grid Structures (Radio i Svyaz’, Moscow, 1987) [in Russian].

    Google Scholar 

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

    Google Scholar 

  6. V. V. Nikol’skii, Variational Methods for Interior Problems of Electromagnetics (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  7. N. Amitay, V. Galindo, and Ch. P. Wu, Theory and Analysis of Phased Antenna Arrays (Wiley, New York, 1972; Mir, Moscow, 1974).

    Google Scholar 

  8. E. I. Nefedov and A. T. Fialkovskii, Strip Transmission Lines (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  9. S. E. Bankov, A. A. Kurushin, and E. M. Guttsait, Computation of Optical and Microwave Problems by Means of HFSS (Orkada, Moscow, 2012) [in Russian].

    Google Scholar 

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Authors and Affiliations

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

    S. E. Bankov

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  1. S. E. Bankov
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Correspondence to S. E. Bankov.

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Original Russian Text © S.E. Bankov, 2018, published in Radiotekhnika i Elektronika, 2018, Vol. 63, No. 4, pp. 301–313.

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Bankov, S.E. Equivalent Boundary Conditions for Isotropic Arrays. J. Commun. Technol. Electron. 63, 315–325 (2018). https://doi.org/10.1134/S1064226918040022

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  • DOI: https://doi.org/10.1134/S1064226918040022

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