DOI: https://doi.org/10.26089/NumMet.v21r433

О применении конечно-разностной аппроксимации Паде псевдодифференциального параболического уравнения в задаче тропосферного распространения радиоволн

Авторы


Ключевые слова:

уравнение Гельмгольца
параболическое уравнение
распространение радиоволн
аппроксимация Паде

Аннотация

Рассматривается задача численного моделирования распространения электромагнитных волн в неоднородной тропосфере на основе широкоугольных обобщений метода параболического уравнения. Используется конечно-разностная аппроксимация Паде оператора распространения. Существенно, что в предлагаемом подходе указанная аппроксимация осуществляется одновременно по продольной и поперечной координатам. При этом допускается моделирование произвольного коэффициента преломления тропосферы. Метод не накладывает ограничений на максимальный угол распространения. Для различных условий распространения радиоволн проведено сравнение с методом расщепления Фурье и методом геометрической теории дифракции. Показаны преимущества предлагаемого подхода.

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Опубликован

3.12.2020

Выпуск

Раздел

Методы и алгоритмы вычислительной математики и их приложения

Об авторе

М. С. Лытаев

Санкт-Петербургский Федеральный исследовательский центр Российской академии наук (СПб ФИЦ РАН),
14-я линия В.О., 39, 199178, Санкт-Петербург
• младший научный сотрудник


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