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
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1979},
     volume = {38},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/}
}
TY  - JOUR
AU  - L. Yu. Motylev
TI  - Transformation of the system of Maxwell equations in an inhomogeneous medium into an equation on the rotation group
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 364
EP  - 369
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/
LA  - ru
ID  - TMF_1979_38_3_a7
ER  - 
%0 Journal Article
%A L. Yu. Motylev
%T Transformation of the system of Maxwell equations in an inhomogeneous medium into an equation on the rotation group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 364-369
%V 38
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a7/
%G ru
%F TMF_1979_38_3_a7
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/

[1] S. M. Rytov, DAN SSSR, 18 (1938), 263 | Zbl

[2] V. M. Babich, V. S. Buldyrev, Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, «Nauka», 1972 | MR

[3] V. P. Maslov, M. V. Fedoryuk, Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, «Nauka», 1976 | MR

[4] M. V. Karasev, TMF, 31 (1977), 41 | MR | Zbl

[5] P. K. Rashevskii, Kurs differentsialnoi geometrii, Gostekhizdat, 1956