Geodesic
Transformation of the system of Maxwell equations in an inhomogeneous medium into an equation on the rotation group
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 364-369 
L. Yu. Motylev. Transformation of the system of Maxwell equations in an inhomogeneous medium into an equation on the rotation group. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 364-369. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/
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     author = {L. Yu. Motylev},
     title = {Transformation of the system of {Maxwell} equations in an inhomogeneous medium into an equation on the rotation group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {38},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Maxwell's equations in an inhomogeneous isotropic medium are transformed into a single second-order equation on the manifold $\mathbf R^3\times SO(3)$. The short-wavelength asymptotic behavior of the electromagnetic field in an inhomogeneous medium is investigated on the basis of this interpretation of Maxwell's equations.

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