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Solution of the Problem of Diffraction by a Plane Screen in a Plane Layered Medium with the Help of the Method of Continued Boundary Conditions

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

The 3D problem of diffraction of the field of a point source by a plane screen located on the interface of a plane layered medium is considered. The algorithm of the numerical solution of this problem is developed on the basis of the method of continued boundary conditions. In particular, the case, when the screen is located on the interface between two media and on the upper boundary of a dielectric layer surrounded by identical dielectric half-spaces, is considered. The correctness of the obtained results is controlled by verifying the accuracy of the fulfillment of the optical theorem. The angular dependences of the scattering pattern are constructed for the screens having circular, rectangular, and elliptic shapes.

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REFERENCES

  1. E. V. Zakharov and Yu. V. Pimenov, Numerical Analysis of Diffraction of Radio Waves (Radio i Svyaz’, Moscow, 1982) [in Russian].

    MATH  Google Scholar 

  2. L. N. Litvinenko and S. L. Prosvirnin, Spectral Operators of Dispersion in Problems Wave Diffraction on Flat Screens (Naukova Dumka, Kiev, 1984) [in Russian].

    Google Scholar 

  3. S. N. Vorob’ev, L. N. Litvinenko, and S. L. Prosvirin, Zh. Vychisl. Mat. Mat. Fiz. 26, 894 (1986).

    MathSciNet  Google Scholar 

  4. A. I. Nosich and A. S. Andrienko, IEEE Trans. Microwave Theory Tech. 42, 298 (1994).

    Article  Google Scholar 

  5. S. B. Panin and A. E. Poedinchuk, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 45, 690 (2002).

    Google Scholar 

  6. A. G. Schuchinsky, D. E. Zelenchuk, A. M. Lerer, and R. Dickie, IEEE Trans. Antennas Propag. 54, 490 (2006).

    Article  Google Scholar 

  7. A. G. Kyurkchan and A. P. Anyutin. Dokl. Math. 66 (1), 132 (2002).

  8. A. G. Kyurkchan and N. I. Smirnova, Mathematical Modeling in Diffraction Theory with the Use of A Priori Information on Analytic Properties of the Solution (Amsterdam: Elsevier, 2016).

    MATH  Google Scholar 

  9. S. A. Manenkov, J. Commun. Technol. Electron. 52, 1307 (2007).

    Article  Google Scholar 

  10. S. A. Manenkov, J. Commun. Technol. Electron. 54, 1136 (2009).

    Article  Google Scholar 

  11. A. G. Kyurkchan and S. A. Manenkov, Acoust. Phys. 61, 272 (2015).

    Article  Google Scholar 

  12. S. A. Manenkov, J. Commun. Technol. Electron. 64, 1055 (2019).

    Article  Google Scholar 

  13. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Nauka, Moscow, 1971; Academic, New York, 1980).

  14. A. G. Kyurkchan and S. A. Manenkov, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 41, 874 (1998).

    Google Scholar 

  15. Yu. A. Eremin and A. G. Sveshnikov, Vestn. Mos. Gos. Univ. Fiz. 70 (4), 43 (2015).

    Google Scholar 

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Funding

This study was partly supported by the Russian Foundation for Basic Research, project nos. 18-02-00961 and 19‑02-00654.

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Authors and Affiliations

  1. Moscow Technical University of Communications and Informatics, 111024, Moscow, Russia

    A. G. Kyurkchan & S. A. Manenkov

  2. Kotelnikov Institute of Radioengineering and Electronics (Fryazino Branch), Russian Academy of Sciences, 141190, Fryazino, Russia

    A. G. Kyurkchan

  3. Central Research Communication Institute, 111141, Moscow, Russia

    A. G. Kyurkchan

Authors
  1. A. G. Kyurkchan
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  2. S. A. Manenkov
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Correspondence to S. A. Manenkov.

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Translated by I. Efimova

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Kyurkchan, A.G., Manenkov, S.A. Solution of the Problem of Diffraction by a Plane Screen in a Plane Layered Medium with the Help of the Method of Continued Boundary Conditions. J. Commun. Technol. Electron. 65, 778–786 (2020). https://doi.org/10.1134/S1064226920060200

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  • DOI: https://doi.org/10.1134/S1064226920060200

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