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Application of the Method of Extended Boundary Conditions to the Solution of the Problem of Wave Diffraction by Magnetodielectric Scatterers Having a Compound Geometry

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

A technique allowing to model scattering characteristics for bodies of arbitrary geometries is suggested on the basis of the method of extended boundary conditions. The scattering characteristics include those ones, which are averaged over orientation angles. The 2D problem of diffraction of a plane wave by dielectric bodies having a complicated geometry of the cut and, in particular, by bodies similar to fractals is considered. The numerical algorithms of the diffraction problem solution on the basis of the systems of integral equations of the first and second kinds are compared. The correctness of the method is confirmed with the help of the verification of the optical theorem fulfillment for various bodies and by comparing with the calculation results obtained by the modified method of discrete sources.

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REFERENCES

  1. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983; Mir, Moscow, 1986).

  2. L. N. Zakhar’ev and A. A. Lemanskii, Diffusion of Waves Black Bodies (Sovetskoe Radio, Moscow, 1972) [in Russian].

    Google Scholar 

  3. M. I. Mishchenko, N. T. Zakharova, N. G. Khlebtsov, et al., J. Quant. Spectrosc. Radiat. Transfer 202, 240 (2017).

    Article  Google Scholar 

  4. P. C. Waterman, Proc. IEEE 53, 805 (1965).

    Article  Google Scholar 

  5. A. G. Kyurkchan and N. I. Smirnova, Mathematical Modeling in the Theory of Diffraction with Use of Aprioristic Information on Analytical Properties of the Decision (ID Media Pablisher, Moscow, 2014) [in Russian].

    Google Scholar 

  6. A. G. Kyurkchan, N. I. Smirnova, and A. P. Chirkova, J. Commun. Technol. Electron. 60, 247 (2015).

    Article  Google Scholar 

  7. A. G. Kyurkchan and N. I. Smirnova, J. Commun. Technol. Electron. 62, 502 (2017).

    Article  Google Scholar 

  8. A. G. Kyurkchan, S. A. Manenkov, and N. I. Smirnova, Opt. Spektroskop. 126, 466 (2019).

    Article  Google Scholar 

  9. D. V. Krysanov and A. G. Kyurkchan, T-Comm. Telekommun. & Transp. 11 (7), 17 (2017).

    Google Scholar 

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

    Google Scholar 

  11. E. L. Shenderov, Emission and Scattering of Sound (Sudostroenie, Leningrad, 1989) [in Russian].

    Google Scholar 

  12. A. G. Kyurkchan and S. A. Manenkov, J. Quant. Spectrosc. Radiat. Transfer 113, 2368 (2012).

    Article  Google Scholar 

  13. R. M. Crownover, Introduction to Fractals and Chaos (Jones and Bartlett, Boston, 1995; Postmarket, Moscow, 2000).

  14. P. Ya. Ufimtsev, Theory of Edge Diffraction in Electromagnetics (BINOM. Laboratoriya Znanii, Moscow, 2007) [in Russian].

  15. A. G. Kyurkchan and D. B. Demin, Tech. Phys. 49, 165 (2004).

    Article  Google Scholar 

  16. A. G. Kyurkchan and D. B. Demin, Tech. Phys. 49, 1218 (2004).

    Article  Google Scholar 

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Funding

This study was supported in part by the Russian Foundation for Basic Research, projects nos. 18-02-00961 and 19-02-00654.

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Correspondence to D. V. Krysanov.

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Translated by I. Efimova

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Krysanov, D.V., Kyurkchan, A.G. & Manenkov, S.A. Application of the Method of Extended Boundary Conditions to the Solution of the Problem of Wave Diffraction by Magnetodielectric Scatterers Having a Compound Geometry. J. Commun. Technol. Electron. 65, 993–1000 (2020). https://doi.org/10.1134/S1064226920080148

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  • DOI: https://doi.org/10.1134/S1064226920080148

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