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COVARIANT REPRESENTATION OF MAXWELL’S EQUATIONS IN A MEDIUM WITH SOURCES
- Authors: Dyshekov A.A.1, Khapachev Y.P.1
-
Affiliations:
- Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia
- Issue: Vol 68, No 3 (2023)
- Pages: 401-406
- Section: ДИФРАКЦИЯ И РАССЕЯНИЕ ИОНИЗИРУЮЩИХ ИЗЛУЧЕНИЙ
- URL: https://rjsvd.com/0023-4761/article/view/673445
- DOI: https://doi.org/10.31857/S0023476123700108
- EDN: https://elibrary.ru/XABKIL
- ID: 673445
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Abstract
A geometric approach to describing an electromagnetic field in a medium with sources as a single field object is proposed. The description is based on the coordinate-free covariant approach adopted in the present-day geometrized field theories. Maxwell’s equations in a medium with sources are presented in terms of differential 2-forms for electric and magnetic fields in a four-dimensional space-time continuum. The general
equations include special cases of propagation, scattering, and emission of an electromagnetic field in media with different properties.
About the authors
A. A. Dyshekov
Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia
Email: dyshekov@yandex.ru
Россия, Нальчик
Yu. P. Khapachev
Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia
Author for correspondence.
Email: khapachev@yandex.ru
Россия, Нальчик
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