Geodesic
On Computation of Waveguide Scattering Matrices for the Maxwell System
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 1, pp. 93-96.

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

The Maxwell system is considered in a waveguide with perfectly conducting boundary having several cylindrical outlets to infinity. A minimizer of a quadratic functional serves as an approximation to a row of the scattering matrix. To construct such a functional, we solve an auxiliary boundary value problem in the bounded domain obtained by cutting off, at a distance $R$, the waveguide outlets to infinity. As $R$ tends to infinity, the minimizer $a(R, k)$ tends at exponential rate to the corresponding row of the scattering matrix.
Keywords: truncated waveguide, quadratic functional, minimizer, exponential convergence. 
@article{FAA_2015_49_1_a10,
     author = {B. A. Plamenevskii and A. S. Poretskii and O. V. Sarafanov},
     title = {On {Computation} of {Waveguide} {Scattering} {Matrices} for the {Maxwell} {System}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {93--96},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_1_a10/}
}
TY  - JOUR
AU  - B. A. Plamenevskii
AU  - A. S. Poretskii
AU  - O. V. Sarafanov
TI  - On Computation of Waveguide Scattering Matrices for the Maxwell System
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2015
SP  - 93
EP  - 96
VL  - 49
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2015_49_1_a10/
LA  - ru
ID  - FAA_2015_49_1_a10
ER  - 
%0 Journal Article
%A B. A. Plamenevskii
%A A. S. Poretskii
%A O. V. Sarafanov
%T On Computation of Waveguide Scattering Matrices for the Maxwell System
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2015
%P 93-96
%V 49
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2015_49_1_a10/
%G ru
%F FAA_2015_49_1_a10
B. A. Plamenevskii; A. S. Poretskii; O. V. Sarafanov. On Computation of Waveguide Scattering Matrices for the Maxwell System. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 1, pp. 93-96. http://geodesic.mathdoc.fr/item/FAA_2015_49_1_a10/

[1] S. A. Nazarov, B. A. Plamenevskii, Ellipticheskie zadachi v oblastyakh s kusochno gladkoi granitsei, Nauka, M., 1991

[2] B. A. Plamenevskii, A. S. Poretskii, Algebra i analiz, 25:1 (2013), 94–155 | MR

[3] B. A. Plamenevskii, O. V. Sarafanov, Funkts. analiz i ego pril., 48:1 (2014), 61–72 | DOI | MR | Zbl

[4] B. A. Plamenevskii, A. S. Poretskii, O. V. Sarafanov, Algebra i analiz, 26:1 (2014), 128–164 | MR