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Solution of the Problem of Diffraction by a Circular Inhomogeneous Cylinder Partially Covered by a Reflective Screen

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

Based on the method of extended boundary conditions, an algorithm for the numerical solution of the two-dimensional problem of diffraction by a dielectric cylinder with wave number depending on the radial coordinate, which is partially covered by a perfectly reflective screen. The method is tested for the case of a homogeneous medium inside a dielectric cylinder. The accuracy of the fulfillment of the optical theorem is checked for various dependences of the wave number on the radial coordinate and the angular dependences of the scattering diagram are plotted for different opening angles of the reflective screen.

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REFERENCES

  1. D. Kim, E. J. Avital, and T. Miloh, Adv. Acous. & Vibrat. 2014, ID 392138 (2014).

  2. A. Gillman, Adv. Comput. Math. 43, 351 (2017).

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  5. A. G. Kyurkchan and N. I. Smirnova, Mathematical Modeling in Diffraction Theory Based on A Priori Information on the Analytical Properties of the Solution (Elsevier, Amsterdam, 2016).

  6. A. G. Kyurkchan and S. A. Manenkov, J. Commun. Technol. Electron. 65, 778 (2020).

    Article  Google Scholar 

  7. S. A. Manenkov, J. Commun. Technol. Electron. 54, 515 (2009).

    Article  Google Scholar 

  8. S. A. Manenkov, J. Commun. Technol. Electron. 63, 1 (2018).

    Article  Google Scholar 

  9. C. De Boor, A Practical Guide to Splines (Springer, New York, 1978; Radio i Svyaz’, Moscow, 1985).

  10. E. L. Shenderov, Radiation and Diffusion of Sound (Sudostroenie, Leningrad, 1989) [in Russian].

    Google Scholar 

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Funding

This study was carried out with partial financial support of the Russian Foundation for Basic Research (project nos. 18-02-00961, 19-02-00654).

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Correspondence to S. A. Manenkov.

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Krysanov, D.V., Kyurkchan, A.G. & Manenkov, S.A. Solution of the Problem of Diffraction by a Circular Inhomogeneous Cylinder Partially Covered by a Reflective Screen. J. Commun. Technol. Electron. 66, 251–258 (2021). https://doi.org/10.1134/S1064226921030128

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  • DOI: https://doi.org/10.1134/S1064226921030128

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