Theoretical analysis of the waveguide propagation of electromagnetic waves in dielectric smoothly-irregular integrated structures

The waveguide propagation of a monochromatic electromagnetic wave in a multilayer smoothly-irregular integrated dielectric structure has been studied under natural physical and mathematical assumptions. Approximate solution of the vector electrodynamic problem satisfying the condition of smoothly varying shape of the structure is found using the Kantorovich method of the partial separation of variables, since the conventional method of separating variables, which is usually employed for regular waveguides, in the given case is inapplicable. Using the obtained solution, it is possible to describe analytically the fields of smoothly deforming modes of a dielectric waveguide, their interrelation, and the dispersion relations between the distribution of the phase slowing coefficient and the local inclination of layers in the structure under consideration. The proposed method can also be used, in a quite broad range of wavelengths, for an analysis of analogous waveguide structures made of both dielectric and magnetic materials. © 2008 Pleiades Publishing, Ltd.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
4
Язык
Английский
Страницы
576-584
Статус
Опубликовано
Подразделение
-
Номер
-
Том
105
Год
2008
Организации
  • 1 Peoples' Friendship University, Moscow 117923, Russian Federation
  • 2 Prokhorov Institute of General Physics, Russian Academy of Sciences, Moscow 191991, Russian Federation
Ключевые слова
Dielectric materials; Dielectric waveguides; Electric network analysis; Electrodynamics; Electromagnetic wave diffraction; Electromagnetic wave scattering; Magnetic materials; Waveguides; Approximate solutions; Conventional methods; Dielectric structures; Dispersion relations; Electrodynamic problems; Integrated structures; Kantorovich methods; Partial separations; Regular waveguides; Theoretical analyses; Waveguide propagations; Waveguide structures; Electromagnetic waves
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3057/