Geodesic
The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 7-14 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The Maxwell equations for nonhomogeneous media is considered. The formula (in the first approximation ) for non-stationary point source of waves is found. The Fourier transform by $t$ of this expression leads to short wave asymptotic formula for wave field of high frequency point source of electromagnetic oscillations. The large parameter is the frequency. 
@article{ZNSL_2018_471_a0,
     author = {V. M. Babich},
     title = {The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--14},
     year = {2018},
     volume = {471},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a0/}
}
TY  - JOUR
AU  - V. M. Babich
TI  - The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2018
SP  - 7
EP  - 14
VL  - 471
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a0/
LA  - ru
ID  - ZNSL_2018_471_a0
ER  - 
%0 Journal Article
%A V. M. Babich
%T The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)
%J Zapiski Nauchnykh Seminarov POMI
%D 2018
%P 7-14
%V 471
%U http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a0/
%G ru
%F ZNSL_2018_471_a0
V. M. Babich. The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 7-14. http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a0/

[1] V. M. Babich, “O korotkovolnovoi asimptotike resheniya zadachi o tochechnom istochnike kolebanii v neodnorodnoi srede”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 5:5 (1965), 949–952 | Zbl

[2] Wangtao Lu, Jianliang Qian, Robert Burridge, “Babich-like ansatz for three-dimensional point-source Maxwell's equations in an inhomogeneous medium at high frequencies”, Multiscale Model. Simul., 14:3 (2016), 1089–1122 | DOI | MR | Zbl

[3] V. M. Babich, A. P. Kiselev, Uprugie volny. Vysokochastotnaya teoriya, BKhV-Peterburg, SPb., 2014

[4] R. Kurant, Uravneniya s chastnymi proizvodnymi, Mir, Moskva, 1964