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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References
C. R. Smith, S. R. Rolf, and R. Inguva,Found. Phys. 20, 1111 (1990).
C. R. Smith and R. Inguva,Am. J. Phys. 52, 27 (1984).
A. A. Rukhadze and V. P. Silin,Sov. Phys. Usp. 4, 459 (1961).
A. Sommerfeld,Lectures on Theoretical Physics, Vol. 4 (Academic Press, New York, 1952).
D. J. Caldwell and H. Eyring,The Theory of Optical Activity (Wiley-Interscience, New York, 1971).
A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze,Principles of Plasma Electrodynamics (Springer, New York, 1984).
American Institute of Physics Handbook, 3rd edn. (McGraw-Hill, New York, 1972).
H. C. Chen,Theory of Electromagnetic Waves: A Coordinate-Free Approach (McGraw-Hill, New York, 1983).
A. B. Cambel,Plasma Physics and Magnetofluidmechanics (McGraw-Hill, New York, 1963).
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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