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 
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/
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     title = {The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a0/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[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