Geodesic
A numerical method for finding dispersion curves and guided waves of optical waveguides
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2203-2218

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

The original problem in an unbounded domain is reduced to a linear parametric eigenvalue problem in a circle, which is convenient for numerical solution. The examination of the solvability of this problem is based on the spectral theory of compact self-adjoint operators. The existence of guided waves is proved, and properties of the dispersion curves are investigated. An algorithm for the numerical solution of the problem based on the discretization of the equations using the finite element method is proposed. Numerical results are discussed. 
@article{ZVMMF_2005_45_12_a9,
     author = {R. Z. Dautov and E. M. Karchevskii and G. P. Kornilov},
     title = {A numerical method for finding dispersion curves and guided waves of optical waveguides},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2203--2218},
     publisher = {mathdoc},
     volume = {45},
     number = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a9/}
}
TY  - JOUR
AU  - R. Z. Dautov
AU  - E. M. Karchevskii
AU  - G. P. Kornilov
TI  - A numerical method for finding dispersion curves and guided waves of optical waveguides
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 2203
EP  - 2218
VL  - 45
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a9/
LA  - ru
ID  - ZVMMF_2005_45_12_a9
ER  - 
%0 Journal Article
%A R. Z. Dautov
%A E. M. Karchevskii
%A G. P. Kornilov
%T A numerical method for finding dispersion curves and guided waves of optical waveguides
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 2203-2218
%V 45
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a9/
%G ru
%F ZVMMF_2005_45_12_a9
R. Z. Dautov; E. M. Karchevskii; G. P. Kornilov. A numerical method for finding dispersion curves and guided waves of optical waveguides. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2203-2218. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a9/