Geodesic
On the equivalence between layer-periodic and transversal-isotropic media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 219-233

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The paper deals with the wave propagation in isotropic layers-periodic media. If the period decreases to zero and the number of periods increases infinitely such media turn to the transversal-isotropic ones. The properties of these media are investigated. 
@article{ZNSL_1979_89_a15,
     author = {L. A. Molotkov},
     title = {On the equivalence between layer-periodic and transversal-isotropic media},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {219--233},
     publisher = {mathdoc},
     volume = {89},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a15/}
}
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L. A. Molotkov. On the equivalence between layer-periodic and transversal-isotropic media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 219-233. http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a15/