Waves produced by sources on expanding disk
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 38-47

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The explicit solutions of the inhomogeneous wave equation are constructed. The solutions obtained describe waves generated by a source distribution of a disk that expands with velocities less, equal, or greater than the wave-front velocity. The structure and directional transmission waves are discussed. Possibility of an application of the scalar solutions to electromagnetic waves is shown. Bibliography: 8 titles.
@article{ZNSL_2006_332_a2,
     author = {V. V. Borisov},
     title = {Waves produced by sources on expanding disk},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {38--47},
     publisher = {mathdoc},
     volume = {332},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a2/}
}
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V. V. Borisov. Waves produced by sources on expanding disk. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 38-47. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a2/