Geodesic
Propagation of TM waves in a Kerr nonlinear layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2186-2194 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{ZVMMF_2008_48_12_a10,
     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},
     year = {2008},
     volume = {48},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a10/}
}
TY  - JOUR
AU  - D. V. Valovik
AU  - Yu. G. Smirnov
TI  - Propagation of TM waves in a Kerr nonlinear layer
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 2186
EP  - 2194
VL  - 48
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a10/
LA  - ru
ID  - ZVMMF_2008_48_12_a10
ER  - 
%0 Journal Article
%A D. V. Valovik
%A Yu. G. Smirnov
%T Propagation of TM waves in a Kerr nonlinear layer
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 2186-2194
%V 48
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a10/
%G ru
%F ZVMMF_2008_48_12_a10
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/

[1] Eleonskii P. N., Oganes'yants L. G., Silin V. P., “Cylindrical nonlinear waveguides”, Soviet Phys. Letts, 35:1 (1972), 44–47

[2] Schurmann H. W., Serov V. S., Shestopalov Yu. V., “Reflection and transmission of a plane TE-wave at a lossless nonlinear dielectric film”, Physica D, 158 (2001), 197–215 | DOI | MR

[3] Leung K. M., “$p$-Polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functions”, Phys. Rev. B, 32:8 (1985), 5093–5101 | DOI

[4] Joseph R. I., Christodoulides D. N., “Exact field decomposition for TM waves in nonlinear media”, Optics Letts, 12:10 (1987), 826–828 | DOI

[5] Leung K. M., Lin R. L., “Scattering of transverse-magnetic waves with a nonlinear film: formal field solutions in quadratures”, Phys. Rev. B, 44:10 (1991), 5007–5012 | DOI

[6] Korn G., Korn T., Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov, Nauka, M., 1968 | MR

[7] Markushevich A. I., Vvedenie v klassicheskuyu teoriyu abelevykh funktsii, Nauka, M., 1979 | MR

[8] Snyder A., Love J., Optical waveguide theory, Chapman and Hall, London, 1983