Maxwell's Equations in Arbitrary Coordinate System

D S Kulyabov; Кулябов Дмитрий Сергеевич; A V Korolkova; Королькова Анна Владиславовна; V I Korolkov; Корольков Владислав Иванович

Maxwell's Equations in Arbitrary Coordinate System

Authors: Kulyabov DS¹, Korolkova AV¹, Korolkov VI¹
Affiliations:
1. Peoples' Friendship University of Russia
Issue: No 1 (2012)
Pages: 96-106
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8778

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Abstract

The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant coordinate-free and the covariant coordinate forms. Also the relation between vectorial and tensorial formalisms and differential operators for arbitrary holonomic coordinate system in coordinate form is given. The results obtained by tensorial and vectorial formalisms are verified in cylindrical and spherical coordinate systems.

Keywords

Maxwell's equations, tensorial formalism, covariant coordinate-free form, covariant coordinate form

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Vol 31, No 4 (2023)

Maxwell's Equations in Arbitrary Coordinate System

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Abstract

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About the authors

D S Kulyabov

A V Korolkova

V I Korolkov

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