Фрактальная модель процесса распространения электромагнитных волн в тропосферном волноводе
Аннотация
В работе рассматривается принцип построения математической модели распространения радиоволн во фрактальной тропосферной атмосфере прямой видимости. Учитываемая в модели помеха, в отличии от традиционного способа учета, аппроксимирована функцией Вейерштрасса. Решение задачи при заданных граничных и начальных условиях получено в виде передаточных функцией по каналу распространения радиоволны и по каналу возмущения (помехи).
The paper discusses the principle of constructing a mathematical model of propagation of radio waves in the fractal tropospheric atmosphere of line of sight. The interference considered in the model in contrast to the traditional accounting method is approximated by the Weierstrass function. The solution of the problem for given boundary and initial conditions is obtained in the form of transfer functions along the channel of propagation of the radio wave and along the channel of disturbance (interference). The purpose of this work is to construct a mathematical model for the propagation of plane electromagnetic waves (signals) in the tropospheric atmosphere of line of sight, taking into account the fractality of turbulence and interference.
Ushbu maqolada fraktal troposfera atmosferasida radio to’lqinlarning tarqalishining matematik modelini yaratish printsipi muhokama qilinadi. Modelda an’anaviy buxgalteriya usulidan farqli ravishda ko’rib chiqilgan interferentsiya Weierstrass funksiyasi tomonidan taxmin qilinadi. Muayyan chegara va boshlang’ich shartlar bo’yicha echim radioto’lqinlarni tarqatish kanali bo’ylab uzatish funktsiyalari shaklida va buzilish (interferentsiya) kanali orqali olinadi.
The paper discusses the principle of constructing a mathematical model of propagation of radio waves in the fractal tropospheric atmosphere of line of sight. The interference considered in the model in contrast to the traditional accounting method is approximated by the Weierstrass function. The solution of the problem for given boundary and initial conditions is obtained in the form of transfer functions along the channel of propagation of the radio wave and along the channel of disturbance (interference). The purpose of this work is to construct a mathematical model for the propagation of plane electromagnetic waves (signals) in the tropospheric atmosphere of line of sight, taking into account the fractality of turbulence and interference.
Ushbu maqolada fraktal troposfera atmosferasida radio to’lqinlarning tarqalishining matematik modelini yaratish printsipi muhokama qilinadi. Modelda an’anaviy buxgalteriya usulidan farqli ravishda ko’rib chiqilgan interferentsiya Weierstrass funksiyasi tomonidan taxmin qilinadi. Muayyan chegara va boshlang’ich shartlar bo’yicha echim radioto’lqinlarni tarqatish kanali bo’ylab uzatish funktsiyalari shaklida va buzilish (interferentsiya) kanali orqali olinadi.