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Hypersingular Integral Equations in Computational Electrodynamics

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The article reviews state-of-the-art algorithms and programs for the method of hypersingular integral equations used in electromagnetic diffraction problem. Some new results of numerical analysis of electromagnetic fields are reported.

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REFERENCES

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

    Google Scholar 

  2. A. G. Davydov, E. V. Zakharov, and Yu. V. Pimenov, “ A numerical method for diffraction of electromagnetic waves on open surfaces of arbitrary geometry,” Dokl. Akad. Nauk SSSR, 276, No. 1, 96-100 (1984).

    Google Scholar 

  3. E. V. Zakharov, A. G. Davydov, and I. V. Khaleeva, “Integral equations with Hadamard kernels in diffraction problems,” in: Topical Issues in Applied Mathematics [in Russian], Izd. MGU, Moscow (1989), pp. 118-127.

    Google Scholar 

  4. A. G. Davydov, E. V. Zakharov, and Yu. V. Pimenov, “A numerical method for diffraction of electromagnetic waves on open surfaces of revolution,” Dokl. Akad. Nauk SSSR, 269, No. 2, 329-333 (1983).

    Google Scholar 

  5. E. V. Zakharov, Yu. V. Pimenov, and A. V. Danilov, “A method for diffraction of electromagnetic waves on cylindrical surfaces with an infinite generator,” Radiotekhnika, No. 10 (1985).

  6. A. G. Davydov, E. V. Zakharov, and Yu. V. Pimenov, “A method for diffraction of electromagnetic waves on infinitely thin cylindrical screens,” Dokl. Akad. Nauk SSSR, 261, No. 2, 338-341 (1981).

    Google Scholar 

  7. A. G. Davydov, E. V. Zakharov, and Yu. V. Pimenov, “A numerical method for diffraction of electromagnetic waves on open surfaces with anisotropic conductivity,” Dokl. Akad. Nauk SSSR, 280, No. 2, 333-337 (1985).

    Google Scholar 

  8. A. G. Davydov, “Excitation of an open circular cylinder by an H-polarized electromagnetic wave,” ZhTF, 52, No. 1, 92-95 (1982).

    Google Scholar 

  9. A. G. Davydov, E. V. Zakharov, T. M. Meleshkina, and Yu. V. Pimenov, “Calculation of electromagnetic fields in a system consisting of a finite-opening parabolic cylinder and a magnetic current filament,” in: Numerical Methods of Electrodynamics [in Russian], Izd. MGU, Moscow (1983), pp. 53-60.

  10. A. G. Davydov, E. V. Zakharov, Yu. V. Pimenov, and Yu. M. Tikhonov, “Numerical analysis of electromagnetic waves in the near zone of a parabolic cylinder and a paraboloid of revolution,” in: Numerical Methods for Inverse Problems of Mathematical Physics [in Russian], Izd. MGU, Moscow (1988), pp. 119-127.

    Google Scholar 

  11. Yu. V. Pimenov and M. Yu. Chervenko, “Diffraction of a plane H-polarized wave on a multilayer grating of parallel strips,” Radiotekh. Elektron., 33, No. 8 (1988).

    Google Scholar 

  12. Yu. V. Pimenov and M. Yu. Chervenko, “Diffraction of a plane wave on rectangular-profile gratings,” Radiotekhnika, No. 7 (1988).

  13. E. V. Zakharov, Yu. V. Pimenov, and M. Yu. Chervenko, “A numerical method for the diffraction of an H-polarized plane wave on a periodic grating constructed from open cylindrical surfaces,” Radiotekhnika, No. 8, 69-72 (1989).

    Google Scholar 

  14. Yu. V. Pimenov and M. Yu. Chervenko, “Diffraction of a plane wave on parallel-strip gratings,” Radiotekh. Elektron., 31, No. 6, 1088-1094 (1986).

    Google Scholar 

  15. Yu. V. Pimenov and M. Yu. Chervenko, “Current structure arising on a semi-infinite grating during plane-wave diffraction,” Radiotekh. Elektron., 35, No. 12, 2465-2471 (1990).

    Google Scholar 

  16. Yu. V. Pimenov and M. Yu. Chervenko, “Diffraction of a plane electromagnetic wave on a semi-infinite grating,” Radiotekh. Elektron., 36, No. 2, 253-259 (1991).

    Google Scholar 

  17. A. G. Davydov, “A numerical algorithm for arbitrary excitation of an ideally conducting disk,” in: Methods of Computational Electrodynamics [in Russian], Izd. MGU, Moscow (1981), pp. 71-84.

    Google Scholar 

  18. A. G. Davydov, “Numerical analysis of electrodynamic characteristics of some types of radiators in mirror antennas,” in: Computational Mathematics and Computer Software [in Russian], Izd. MGU, Moscow (1985).

    Google Scholar 

  19. A. G. Davydov and A. I. Shalyakin, “Choosing the parameters for an improved Cassegrain antenna,” Radiotekhnika, No. 8, 40-44 (1985).

    Google Scholar 

  20. V. G. Vasil'ev, S. P. Vasil'eva, and A. G. Davydov, “Calculating the characteristics of forced electromagnetic oscillations in threedimensional resonator structures by the integral equation method,” in: Electron Beams in Accelerating and Magnetofocusing Systems [in Russian], Izd. Fan UzSSR, Tashkent (1990), pp. 57-73.

    Google Scholar 

  21. Yu. V. Pimenov and D. A. Khod'kov, “Radiation from an elementary electrical oscillator placed above a plane rectangular screen,” Radiotekhnika, No. 11 (1990).

  22. Yu. V. Pimenov and D. A. Khod'kov, “Radiation from an elementary electrical oscillator placed above a plane rectangular screen,” Radiotekhnika, No. 7 (1991).

  23. E. V. Zakharov, I. A. Zagorodnov, and R. P. Tarasov, “Hypersingular integral equations for diffraction on a cube,” Vestnik MGU, Ser. 15, Vychisl. Matem. Kibern., No. 3, 38-42 (1998).

    Google Scholar 

  24. A. G. Davydov, Yu. V. Pimenov, and B. A. Prigoda, “Numerical analysis of a spiral antenna with an axial conducting cylinder,” Sbornik Nauchnykh Trudov NPO im. S. A. Lavochkina, Moscow, No. 2, 184-190 (2000).

    Google Scholar 

  25. A. G. Davydov and B. A. Prigoda, “Analysis of a highly-directional multi-spiral antenna for a global satellite communication system,” in: Third Int. Conference on Cosmonautics, Radioelectronics, and Geoinformatics (Ryazan', Sept. 6–8, 2000) [in Russian], Ryazan' State Radio-Engineering Academy, Ryazan' (2000), pp. 233-236.

    Google Scholar 

  26. A. G. Davydov and Yu. V. Pimenov, “EDEM3D software package for the analysis of electrodynamic characteristics of ideally conducting 3D objects,” Elektrodinamika SVCh i KVCh, 7, No. 2, 24-26 (1992).

    Google Scholar 

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Authors
  1. A. G. Davydov
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  2. E. V. Zakharov
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  3. Yu. V. Pimenov
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Davydov, A.G., Zakharov, E.V. & Pimenov, Y.V. Hypersingular Integral Equations in Computational Electrodynamics. Computational Mathematics and Modeling 14, 1–15 (2003). https://doi.org/10.1023/A:1022072215887

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