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Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2019, № 4 · ELECTRODYNAMICS

The complete form of the propagation constant in a noninertial reference frame for numerical analysis

K.M. Zeyde1,2

1 Уральский Федеральный Университет, Институт радиоэлектроники и информационных технологий, Ekaterinburg, Russia
2 Ural Federal University, Institute of radio electronics and information technologies, Russia
Full text (PDF) DOI: 10.30898/1684-1719.2019.4.3 UDC 53.043 EDN FIHIZL

Abstract

In this paper we present a derivation of the strict form of the propagation constant for a rotating disk, taking into account the inertial forces of the reference system. This work is a generalization of known facts in a complete methodology. We use formulations related to the use of deflection angle - transition of the ray from a straight-line trajectory under the action of inertia forces. This study allows conducting high-precision computer simulations of electromagnetic effects arising in non-inertial frames of reference. Strict conclusions are achieved by the exception of rest frame theory. Two-dimensional electromagnetic propagation problem is solved in a non-inertial frame of reference. A rotating frame of reference is a good example of any noninertial frame of reference, therefore, this particular model was chosen to be considered. We use the classical approach for describing the conditions for the propagation of electromagnetic waves in noninertial reference frames: the refined refractive index of the medium. The possibility of modeling using the obtained formulations is demonstrated on a rotating circular infinite cylinder. Verification of the results was carried out. Distributions of the propagation constant in a rotating medium are presented. The results are obtained using CAD of electromagnetic modeling. The comparison was made for data from open sources. Validation of the method proved its effectiveness.

  • propagation constant
  • non-inertial reference frame
  • electromagnetic scattering
  • relativity
  • постоянная распространения
  • неинерциальная система отсчета
  • электромагнитное рассеяние
  • релятивизм
Аннотация (на русском)

Завершенная форма для численного анализа постоянной распространения электромагнитных волн в неинерциальной системе отсчета

В данной статье представлен вывод формулы для постоянной распространения электромагнитных волн для вращающегося диска с учетом сил инерции, действующих в выбранной системе отсчета. Результаты данного изучения позволяют проводить высокоточное моделирования электромагнитных эффектов возникающих в неинерциальных и эквивалентных им системам отсчета. Возможность применения алгоритма при численном анализе продемонстрировано на примере вращающегося диэлектрического цилиндра. Проведена и описана верификация результатов.

For citation

Zeyde K.M. The complete form of the propagation constant in a noninertial reference frame for numerical analysis // Journal of Radio Electronics. – 2019. – No. 4. https://doi.org/10.30898/1684-1719.2019.4.3

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