Geodesic
Characteristic matrix of a periodically inhomogeneous layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 17, Tome 165 (1987), pp. 177-181
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We propose an analytic representation of the characteristic matrix of a periodically inhomogeneous layer; the characteristic matrix of the homogenized medium is defined and it is shown that the structure of characteristic matrix of transversely isotropic media coincides with the structure of the characteristic matrix of a layered inhomogeneous isotropic medium. 
@article{ZNSL_1987_165_a16,
     author = {S. Tleukenov},
     title = {Characteristic matrix of a periodically inhomogeneous layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {177--181},
     year = {1987},
     volume = {165},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_165_a16/}
}
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S. Tleukenov. Characteristic matrix of a periodically inhomogeneous layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 17, Tome 165 (1987), pp. 177-181. http://geodesic.mathdoc.fr/item/ZNSL_1987_165_a16/