COVARIANT REPRESENTATION OF MAXWELL’S EQUATIONS IN A MEDIUM WITH SOURCES

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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.

作者简介

A. Dyshekov

Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia

Email: dyshekov@yandex.ru
Россия, Нальчик

Yu. Khapachev

Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia

编辑信件的主要联系方式.
Email: khapachev@yandex.ru
Россия, Нальчик

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