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Coordinate-free operators based on one vector. II. Applications in electrodynamics

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Abstract

The coordinate-free methods of the preceding paper are illustrated in three problems. First, the electrodynamics of a homogeneous, isotropic, and gyrotropic medium is investigated; it is shown that such a medium can exhibit optical activity, and the propagation of a plane electromagnetic wave in such a medium is discussed. Then, the electrodynamics of a homogeneous system made anisotropic by a uniform external magnetic field is considered; a description of Faraday rotation is provided, the ionosphere being used in an example. Finally, the reflection and refraction of a plane electromagnetic wave at the interface of two media are described by coordinate-free operators.

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Smith, C.R., Rolf, S.R. & Inguva, R. Coordinate-free operators based on one vector. II. Applications in electrodynamics. Found Phys 20, 1123–1133 (1990). https://doi.org/10.1007/BF00731857

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  • DOI: https://doi.org/10.1007/BF00731857

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