Open AccessDiffraction of the field of vertical electric dipole on the spiral conductive sphere in the presence of a cone
Author(s) -
В. А. Резуненко
Publication year - 2018
Publication title -
vìsnik harkìvsʹkogo nacìonalʹnogo unìversitetu ìmenì v.n. karazìna. serìâ: matematika, prikladna matematika ì mehanìka
Language(s) - English
Resource type - Journals
eISSN - 2523-4641
pISSN - 2221-5646
DOI - 10.26565/2221-5646-2018-88-02
Subject(s) - diffraction , dipole , mathematical analysis , operator (biology) , cone (formal languages) , electrical conductor , hilbert space , physics , mathematics , spiral (railway) , regularization (linguistics) , electric field , algebraic number , light cone , magnetic dipole , matrix (chemical analysis) , optics , mathematical physics , quantum mechanics , materials science , computer science , chemistry , biochemistry , repressor , algorithm , transcription factor , gene , artificial intelligence , composite material
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.