Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8558ArticlesСтатьиPropagation of the Monochromatic Electromagnetic Waves in Irregular Waveguides. A Brief Introduction to an Analysis in the Case of Smooth or Statistic IrregularitiesРаспространение монохроматических электромагнитных волн в нерегулярных волноводах. Краткое введение в анализ для случая плавных и статистических нерегулярностейEgorovA AЕгоровАлександр АлексеевичРАН; Институт общей физики им. А.М. Прохорова; A.M. Prokhorov General Physics InstituteРАН; Институт общей физики им. А.М. Прохороваyegorov@kapella.gpi.ruSevastianovL AСевастьяновЛеонид АнтоновичКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народовsevast@sci.pfu.edu.ruSevastyanovA LСевастьяновАнтон ЛеонидовичКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народовalsevastyanov@gmail.com <mailto:alsevastyanov@gmail.com>StavtsevA VСтавцевАлексей ВячеславовичКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народовastavtsev@gmail.com <mailto:astavtsev@gmail.com>A.M. Prokhorov General Physics InstituteИнститут общей физики им. А.М. ПрохороваPeoples Friendship University of RussiaРоссийский университет дружбы народов150120101NO1 (2010)№1 (2010)839208092016Copyright ©; 2010, Егоров А.А., Севастьянов Л.А., Севастьянов А.Л., Ставцев А.В.2010Егоров А.А., Севастьянов Л.А., Севастьянов А.Л., Ставцев А.В.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/miph/article/view/8558Two cases are examined in the paper: propagation of waves in smoothly irregular and statistically irregular dielectric waveguides. The peculiarities of approximate solutions of vector electrodynamic problems in both cases are discussed. The offered methods are applicable for analysis of similar dielectric, magnetic, optic and meta materials structures in enough broad band of electromagnetic wavelengths.В статье рассмотрены два случая: распространение волн в плавно-нерегулярных и статистически нерегулярных диэлектрических волноводах. Обсуждены особенности приближённых решений векторных электродинамических задач в обоих случаях. 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