Geodesic
One class of nonscattering acoustic shells for a~model of anisotropic acoustics
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 15-20

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We consider a model of linear acoustics describing diffraction of an acoustic wave on a local anisotropic inhomogeneity. Under study is the existence of inhomogeneities which do not scatter the incident acoustic fields that are generated by any exterior compactly supported sources. We prove the existence of the above-mentioned inhomogeneities. Some constructive way is given of constructing a class of anisotropic media depending on an arbitrary function of one variable. We obtain some explicit formulas that define the main parameters of the shell.
Keywords: acoustics equations, anisotropic media, nonscattering shells, compactly distributed sources. 
@article{SJIM_2011_14_2_a1,
     author = {G. V. Alekseev and V. G. Romanov},
     title = {One class of nonscattering acoustic shells for a~model of anisotropic acoustics},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {15--20},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a1/}
}
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G. V. Alekseev; V. G. Romanov. One class of nonscattering acoustic shells for a~model of anisotropic acoustics. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 15-20. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a1/