Geodesic
On Computation of Waveguide Scattering Matrices for the Maxwell System
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 1, pp. 93-96 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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