Open AccessTheory of vector equations of electromagnetic wave diffraction on a rectilinear tubular cylinder
Author(s) -
А. В. Сочилин,
С. И. Эминов
Publication year - 2021
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 - 10.1088/1742-6596/2052/1/012041
Subject(s) - diffraction , integral equation , cylinder , mathematical analysis , sobolev space , mathematics , fredholm integral equation , surface (topology) , electromagnetic wave equation , wave equation , physics , geometry , optics , electromagnetic field , optical field , quantum mechanics
The vector equation for the diffraction of electromagnetic waves on the surface of a rectilinear circular cylinder without ends with respect to surface currents is considered. As a result of transformations from the original equation, one-dimensional systems of integral equations are obtained. For all four integral operators describing the systems, the main parts are highlighted. Using the remarkable properties of one-dimensional diffraction operators, the Fredholm equation of the second kind in Sobolev spaces is obtained.