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Study of the Kernels of Integral Equations in Problems of Wave Diffraction in Waveguides and by Periodic Structuresстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 октября 2020 г.
- Авторы: Il'inskii A.S., Galishnikova T.N.
- Журнал: Differential Equations
- Том: 56
- Номер: 9
- Год издания: 2020
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1167
- Последняя страница: 1180
- DOI: 10.1134/S0012266120090074
- Аннотация: We consider the problem of diffraction of a waveguide wave by an impedance rod in a rectangular waveguide with perfectly conducting walls and the problem of diffractionof of a plane two-dimensional electromagnetic wave and the field of a point source by an evenly spaced array formed by infinite cylinders of arbitrary cross-section with perfectly and well conducting walls. Both problems are reduced to solving contour Fredholm integral equations. Such reduction is based on using of Green's function of an empty planar waveguide and a quasiperiodic Green's function, which are infinite series in the eigenfunctions of th cross-section of the planar waveguide and in the eigenfunctions satisfying the Floquet conditions. To calculate the kernels of derivatives, we have developed special algorithms to improve the convergence of the series and explicitly isolate the logarithmic singularity occurring in the series.
- Добавил в систему: Галишникова Тамара Николаевна