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

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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. 
@article{TMF_1979_38_3_a7,
     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},
     pages = {364--369},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/}
}
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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/