Geodesic
The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1850-1860 
S. N. Kupriyanova; Yu. G. Smirnov. The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1850-1860. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a11/
@article{ZVMMF_2004_44_10_a11,
     author = {S. N. Kupriyanova and Yu. G. Smirnov},
     title = {The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1850--1860},
     year = {2004},
     volume = {44},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a11/}
}
TY  - JOUR
AU  - S. N. Kupriyanova
AU  - Yu. G. Smirnov
TI  - The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 1850
EP  - 1860
VL  - 44
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a11/
LA  - ru
ID  - ZVMMF_2004_44_10_a11
ER  - 
%0 Journal Article
%A S. N. Kupriyanova
%A Yu. G. Smirnov
%T The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 1850-1860
%V 44
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a11/
%G ru
%F ZVMMF_2004_44_10_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Serov V. S., Shestopalov Yu. V., Schürmann H. W., “Existence of eigenwaves and solitary waves in lossy linear and lossless nonlinear layered waveguides”, Dokl. Maths., 53 (1996), 98–100 | Zbl

[2] Schürmann H. W., Serov V. S., Shestopalov Yu. V., “TE-polarized waves guided by a lossless nonlinear three-layer structure”, Phys. Rev. E, 58 (1998), 1040–1050 | DOI

[3] Serov V. S., Shestopalov Yu. V., Schürmann H. W., “Propagation of TE waves through a layer having permittivity depending on the transverse coordinate and lying between two half-infinite nonlinear media”, Dokl. Maths., 60 (1999), 742–744 | MR | Zbl

[4] Schürmann H. W., Serov V. S., Shestopalov Yu. V., “Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity”, J. Phys. A: Math. Gen., 35 (2002), 10789–10801 | DOI | MR

[5] Akhmediev N. N., Ankiewicz A., Solitons, nonlinear pulses and beams, Chapman and Hall, London, 1997

[6] Akhmediev N. N., “Spatial solutions in Kerr and Kerr-like media”, Invited Paper, Optical and Quantum Electronics, 30:7–10 (1998), 535–570 | DOI

[7] Davies J. R., Mendonca J. T., “Laser propagation in cylindrical waveguides”, Phys. Rev. E, 66 (2002), 046604 | DOI

[8] Romanova E. A., Melnikov L. A., Bekker E. V., “Light guiding in optical fibers with Kerr-like nonlinearity”, Microwave and Optical Technol. Lett., 30:3 (2001) | DOI | MR

[9] Nikolskii V. V., Elektrodinamika i rasprostranenie radiovoln, Nauka, M., 1978

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

[11] Stakgold I., Green's functions and boundary value problems, Wiley, New York, 1998 | MR | Zbl

[12] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1993 | MR | Zbl

[13] Zeidler E., Applied functional analysis, Springer, New York etc., 1997 | MR

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