Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2201-2213 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A method is proposed for solving the boundary value problem of electromagnetic waves propagating in an open dielectric waveguide with an arbitrary cross section. The method combines the representation of solutions in the form of a continuous spectrum, the Fourier integral method, and the Galerkin variational procedure.
@article{ZVMMF_2009_49_12_a9,
     author = {S. B. Raevskii and A. A. Titarenko},
     title = {Solution of the exterior boundary value problem of electromagnetic waves propagating in a~dielectric waveguide with an arbitrary cross section},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2201--2213},
     year = {2009},
     volume = {49},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a9/}
}
TY  - JOUR
AU  - S. B. Raevskii
AU  - A. A. Titarenko
TI  - Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 2201
EP  - 2213
VL  - 49
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a9/
LA  - ru
ID  - ZVMMF_2009_49_12_a9
ER  - 
%0 Journal Article
%A S. B. Raevskii
%A A. A. Titarenko
%T Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 2201-2213
%V 49
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a9/
%G ru
%F ZVMMF_2009_49_12_a9
S. B. Raevskii; A. A. Titarenko. Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2201-2213. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a9/

[1] Unger Kh. G., Planarnye i volokonnye opticheskie volnovody, Mir, M., 1980

[2] T. Tamir (red.), Integralnaya optika, Mir, M., 1978

[3] Kleev A. I., Manenkov A. B., Rozhnev A. G., “Chislennye metody rascheta dielektricheskikh volnovodov (volokonnykh svetovodov). Chastnye metody”, Radiotekhn. i elektronika, 38:5 (1993), 769–788

[4] Kleev A. I., Manenkov A. B., Rozhnev A. G., “Chislennye metody rascheta dielektricheskikh volnovodov (volokonnykh svetovodov). Universalnye metodiki”, Radiotekhn. i elektronika, 38:11 (1993), 1938–1967

[5] Rozhnev A. G., Manenkov A. B., “Raschet dielektricheskikh volnovodov vblizi kriticheskikh chastot”, Radiotekhn. i elektronika, 42:7 (1997), 785–792

[6] Madelung E., Matematicheskii apparat fiziki, Fizmatgiz, M., 1961

[7] Shevchenko V. V., Plavnye perekhody v otkrytykh volnovodakh, Nauka, M., 1963

[8] Neganov V. A., Raevskii S. B., Yarovoi G. P., Lineinaya makroskopicheskaya elektrodinamika, T. 1, Radio i svyaz, M., 2000

[9] Raevskii S. B., Smirnov A. A., Shishkov G. I., “Rasprostranenie elektromagnitnykh voln v periodicheski neodnorodnykh sredakh”, Antenny, 2005, no. 5(96), 64–72

[10] Raevskii S. B., Redkii A. K., Smirnov A. A., “Raschet dispersii voln v volokne s periodicheski izmenyayuschimsya vdol osi pokazatelem prelomleniya”, Fiz. volnovykh protsessov i radiotekhn. sistemy, 10:4 (2007), 25

[11] Raevskii S. B., Titarenko A. A., “Metod elektrodinamicheskogo rascheta pryamougolnykh zakrytykh volnovodov s proizvolnym dielektricheskim zapolneniem”, Antenny, 2007, no. 2(117), 4–11

[12] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR

[13] Kravchenko V. F., Besarab M. A., Buleva algebra i metody approksimatsii v kraevykh zadachakh elektrodinamiki, Fizmatlit, M., 2004 | Zbl

[14] Kravchenko V. F., Rvachev V. L., Algebra logiki, atomarnye funktsii i veivlety, Fizmatlit, M., 2006