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An Asymptotic Expansion of the Solution to the Problem of the Electromagnetic Theory of Diffraction on Objects with Conical Points

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A three-dimensional problem is considered for electromagnetic diffraction on a bound ideally conducting body containing a conical point. An asymptotic representation of the electromagnetic field is calculated in the vicinity of the conical point with the solution presented as the sum of singular and smooth parts.

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REFERENCES

  1. Mogilevskii, I.E. and Rovenko, V.V., Fiz. Osn. Priborostr., 2014, vol. 3, no. 4, p. 28.

    Google Scholar 

  2. Dubinov, A.E. and Mytareva, L.A., Phys.—Usp., 2010, vol. 53, p. 455.

    Article  ADS  Google Scholar 

  3. Dubinov, A.E. and Mytareva, L.A., Phys.—Usp., 2012, vol. 55, p. 315.

    Article  ADS  Google Scholar 

  4. Pendry, J.B., Schurig, D., and Smith, D.R., Science, 2006, vol. 312, p. 1780.

    Article  ADS  MathSciNet  Google Scholar 

  5. Dolin, L.S., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1961, vol. 4, p. 964.

    Google Scholar 

  6. Sveshnikov, A.G. and Mogilevskii, I.E., Izbrannye matematicheskie zadachi teorii difraktsii (Selected Mathematical Problems of Diffraction Theory), Moscow: Mosk. Gos. Univ., 2012.

  7. Nazarov, S.A. and Plamenevskii, B.A., Ellipticheskie zadachi v oblastyakh s kusochno-gladkoi granitsei (Elliptic Problems in Domains with Piecewise Smooth Boundaries), Moscow: Nauka, 1991.

  8. Kondrat’ev, V.A., Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi i uglovymi tochkami (Boundary Value Problems for Elliptic Equations in Domains with Conical and Corner Points), Moscow: Mosk. Gos. Univ., 1967.

  9. Budak, B.M., Samarskii, A.A., and Tikhonov, A.N., Sbornik zadach po matematicheskoi fizike (Collection of Problems in Mathematical Physics), Moscow: Fizmatlit, 2004.

  10. Macdonald, H.M., Proc. London Math. Soc., 1899, p. 264.

  11. Bogolyubov, A.N., Mogilevskii, I.E., Rovenko, V.V., et al., Mater. 12 Mezhdunar. konf. “Akustoopticheskie i radiolokatsionnye metody izmerenii i obrabotki informa-tsii” (Proc. 12 Int. Conf. on Acousto-Optical and Radar Methods of Measurement and Information Processing), Moscow, 2019.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, 119991, Moscow, Russia

    A. N. Bogolyubov, I. E. Mogilevsky & V. V. Rovenko

Authors
  1. A. N. Bogolyubov
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  2. I. E. Mogilevsky
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  3. V. V. Rovenko
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Corresponding author

Correspondence to I. E. Mogilevsky.

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Translated by V. Vetrov

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Bogolyubov, A.N., Mogilevsky, I.E. & Rovenko, V.V. An Asymptotic Expansion of the Solution to the Problem of the Electromagnetic Theory of Diffraction on Objects with Conical Points. Bull. Russ. Acad. Sci. Phys. 85, 45–49 (2021). https://doi.org/10.3103/S106287382101007X

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  • DOI: https://doi.org/10.3103/S106287382101007X

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