"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2017

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Physical interpretation of the numerical solution for the problem of electromagnetic wave diffraction by a flat perfectly conducting scatterer


M. V. Vesnik

Kotel’nikov Institute of Radioengeneering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia


The paper is received on April 3, 2017


Abstract. A physical interpretation of the solution for the 3D problem of electromagnetic wave diffraction by a flat perfectly conducting scatterer is considered. When analyzing the results of a numerical computation for a flat perfectly conducting polygon heuristic formulas are used. The formulas are constructed on the basis of a new method of the physical theory of the diffraction – the method of fundamental components. A heuristic formula that is most suitable for describing the diffraction process for a given geometry of the problem is chosen. The diffracted field dependence on the scatterer dimensions is analyzed.

Keywords: physical theory of diffraction, heuristic approaches, physical optics approximation, geometrical theory of diffraction, method of edge waves, 3D diffraction problem.


[1] G. A. Grinberg, Izbrannye voprosy matematicheskoy teorii elektricheskikh i magnitnykh yavleniy. [Selected Questions of the Mathematical Theory of Electricity and Magnetism]. Moscow: Akad. Nauk SSSR Publ., 1948. (In Russian).

[2] H. Hönl, A.W. Maue, K. Westpfahl, “Handbuch ger physic”, Springer, Berlin, 1961, Vol. 25/1.

[3] Yury A. Kravtsov, Ning Yan Zhu. "Theory of Diffraction: Heuristic Approaches" Alpha Science International Ltd. Oxford, U.K., 2010

[4] Fok V.A., Problems and the Propagation of Electromagnetic Waves. Moscow: Sovetskoe Radio Publ.  [English translation: Pergamon, 1965]

[5] L. A. Vainshtein. Elektromagnitnye volny [Electromagnetic Waves]. Moscow: Radio i Svyaz Publ., 2nd edition, 1988. (In Russian).

[6] Markov, G. T.; Chaplin, A. F. Vozbuzhdenie elektromagnitnykh voln. [The excitation of electromagnetic waves], Moscow: Energiya Publ, 1967, 376 p. (In Russian).

[7] Michael V. Vesnik, “The Method of the Generalized Eikonal. New Approaches in the Diffraction Theory.”, Walter de Gruyter GmbH, Berlin/Boston, 2015, ISBN 978-3-11-031112-9

[8] M.V. Vesnik, Physical interpretation of a mathematical strict solution for the diffraction problem by means of heuristic formulas, Contemporary Mathematics. Fundamental Directions.  2016.  V. 62.  P. 32-52. (In Russian)

[9] M. V. Vesnik, On a possibility of constructing a refined heuristic solution for the problem of diffraction by a plane angular sector. Journal of Communications Technology and Electronics, 56(5): 531–543, 2011.

[10] Vesnik M.V., “Efficiency of Different Heuristic Approaches to Calculation of Electromagnetic Diffraction by Polyhedrons and other Scatterers”, Radio Science, Volume 49, Issue 10, October 2014, Pages 945–953, doi: 10.1002/2014RS005520

[11] Ludger Klinkenbusch “Electromagnetic Scattering by a Quarter Plane”, Proceedings of the 2005 IEEE Antennas and Propagation Society International Symposium, 3-8 July 2005, vol. 3B, pp. 163 – 166

[12] E. Heyman and L. Felsen, "Creeping waves and resonances in transient scattering by smooth convex objects". IEEE Transactions on Antennas and Propagation, vol. 31, no. 3, pp. 426-437, May 1983, doi: 10.1109/TAP.1983.1143087

[13] E. Heyman and L. Felsen, "A wavefront interpretation of the singularity expansion method".  IEEE Transactions on Antennas and Propagation, vol. 33, no. 7, pp. 706-718, Jul 1985, doi: 10.1109/TAP.1985.1143669

[14] Jun You, Xianrong Wan, Hengyu Ke, Ziping Gong and Yunhua Rao, "Resonance-region target detection with wideband VHF radar," IET International Radar Conference 2013, Xi'an, 2013, pp. 1-6, doi: 10.1049/cp.2013.0460


For citation:

M. V. Vesnik. Physical interpretation of the numerical solution for the problem of electromagnetic wave diffraction by a flat perfectly conducting scatterer. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 4. Available at http://jre.cplire.ru/jre/apr17/7/text.pdf. (In Russian)