Geodesic
Propagation of TM waves in a Kerr nonlinear layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2186-2194

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TM electromagnetic waves propagating through a nonlinear homogeneous isotropic unmagnetized dielectric layer located between two homogeneous isotropic half-spaces are studied. The nonlinearity in the layer obeys the Kerr law. The problem is reduced to a system of nonlinear ordinary differential equations. A dispersion relation for the propagation constants is derived. The results are compared with those in the case of a linear layer. 
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     author = {D. V. Valovik and Yu. G. Smirnov},
     title = {Propagation of {TM} waves in {a~Kerr} nonlinear layer},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2186--2194},
     publisher = {mathdoc},
     volume = {48},
     number = {12},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a10/}
}
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D. V. Valovik; Yu. G. Smirnov. Propagation of TM waves in a Kerr nonlinear layer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2186-2194. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a10/