Enviar artigo por via de e-mail COVARIANT REPRESENTATION OF MAXWELL’S EQUATIONS IN A MEDIUM WITH SOURCES
- Autores: Dyshekov A.1, Khapachev Y.1
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Afiliações:
- Berbekov Kabardino-Balkarian State University, Nalchik, 360004 Russia
- Edição: Volume 68, Nº 3 (2023)
- Páginas: 401-406
- Seção: ДИФРАКЦИЯ И РАССЕЯНИЕ ИОНИЗИРУЮЩИХ ИЗЛУЧЕНИЙ
- URL: https://journals.rcsi.science/0023-4761/article/view/137407
- DOI: https://doi.org/10.31857/S0023476123700108
- EDN: https://elibrary.ru/XABKIL
- ID: 137407
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Resumo
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.
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Sobre autores
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
Autor responsável pela correspondência
Email: khapachev@yandex.ru
Россия, Нальчик
Bibliografia
- Parrott S. Relativistic Electrodynamics and Differential Geometry. New York; Berlin; Heidelberg; London; Paris; Tokyo: Springer-Verlag, 1987. 308 p. https://doi.org/10.1007/978-1-4612-4684-8
- Sattinger D.H. Maxwell’s Equations, Hodge Theory, and Gravitation. http://arxiv.org/abs/1305.6874v2. General Physics (physics.gen-ph) 3 Nov 2013. 22 p. https://doi.org/10.48550/arXiv.1305.6874
- Schleifer N. // Am. J. Phys. 1983. V. 51. P. 1139. https://doi.org/10.1119/1.13325
- Lindell I.V. Differential Forms in Electromagnetics. John Wiley & Sons. IEEE Press Series on Electromagnetic Wave Theory, 2004. V. 22. 272 p. https://doi.org/10.1002/0471723096.ch3
- Warnick K.F., Russer P. // Prog. Electromagn. Res. 2014. V. 148. P. 83. https://doi.org/10.2528/PIER14063009
- Дубровин Б.А., Новиков С.П., Фоменко А.Т. Современная геометрия. М.: Наука, 1986. 760 с.
- Катанаев М.Н. Геометрические методы в математической физике. arXiv:1311.0733v3 [math-ph] 20 Nov 2016. 1588 с.
- Ахиезер А.И., Берестецкий Б.Б. Квантовая электродинамика. М.: Наука, 1981. 428 с.
- Федоров Ф.И. Оптика анизотропных сред. М.: Едиториал УРСС, 2004. 384 с.
