Open AccessCalculation of azimuthally currents on the disk
Author(s) -
А. В. Сочилин,
С. И. Эминов
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1352/1/012050
Subject(s) - orthonormal basis , uniqueness , operator (biology) , mathematical analysis , mathematics , diffraction , enhanced data rates for gsm evolution , convergence (economics) , reduction (mathematics) , rotational symmetry , basis (linear algebra) , integral equation , physics , geometry , computer science , optics , quantum mechanics , telecommunications , biochemistry , chemistry , repressor , transcription factor , economics , gene , economic growth
The theory of the integral equation for azimuthal currents in the axisymmetric problem of diffraction on a disk is constructed. The study is based on the selection of the main positive operator. Existence and uniqueness theorems are obtained. An orthonormal basis satisfying the physical condition by Meixner on the edge is constructed. Calculations are made and good convergence of the reduction method is shown.