Mathematical model of TM-wave diffraction by ideally conducting circular cylindrical antenna with longitudinal slots filled by dielectric

Дан вывод сингулярных интегральных уравнений задачи дифракции ТМ-волны на цилиндрической кольцевой антенне, заполненной диэлектриком, внутренняя поверхность которой идеально проводящая, а идеально проводящая внешняя поверхность имеет продольные щели. Дискретная математическая модель построена методом дискретных особенностей и проведен численный эксперимент на ее основе. Построены поперечник полного рассеяния, поля в ближней зоне и диаграммы направленности.In the article mathematical models of diffraction of TM-waves by straight circular cylindrical antennas with a finite number of longitudinal slots or by circular cylindrical antennas with longitudinal slots and nested circular perfectly conducting cylinder are developed. The problems of diffraction of TM-waves by slot antennas are reduced to singular boundary integral equations. Singular integral equations are derived for the problems of diffraction by a cylindrical ring waveguide filled with dielectric, with perfectly conducting inner surface, and perfectly conducting outer surface having longitudinal slots. A discrete mathematical model is obtained by the method of discrete singularities and a numerical experiment is carried out on its basis. In terms of the developed mathematical models computer algorithms are built on the basis of which numerical analysis is carried out for a wide range of parameters of the structure. The developed mathematical models allow to optimize technical characteristics of antennas and waveguides, filters and linear accelerators which is necessary for projecting and building modern radioelectronic devices