Diffraction of the field of vertical electric dipole on the spiral conductive sphere in the presence of a cone

Keywords: spiral conductive sphere; cone; vertical electric dipole; regularization method; system of equations of the second kind

Abstract

The problem of diffraction of a vertical electric dipole field on a spiral conductive sphere and a cone has been solved. By the method of regularization of the matrix operator of the problem, an infinite system of linear algebraic equations of the second kind with a compact matrix operator in Hilbert space $\ell_2$ is obtained. Some limiting variants of the problem statement are considered.

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Author Biography

V. A. Rezunenko, V.N.Karazin Kharkiv National University

References

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Published
2018-12-01
Cited
How to Cite
Rezunenko, V. A. (2018). Diffraction of the field of vertical electric dipole on the spiral conductive sphere in the presence of a cone. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 88, 17-26. https://doi.org/10.26565/2221-5646-2018-88-02
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