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On computation of waveguide scattering matrices for the Maxwell system. / Plamenevskii, B.A.; Poretskii, A.S.; Sarafanov, O.V.

In: Functional Analysis and its Applications, Vol. 49, No. 1, 2015, p. 77-80.

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Plamenevskii, B.A. ; Poretskii, A.S. ; Sarafanov, O.V. / On computation of waveguide scattering matrices for the Maxwell system. In: Functional Analysis and its Applications. 2015 ; Vol. 49, No. 1. pp. 77-80.

BibTeX

@article{77d7a00251e74db4b7fb74486ca0afab,
title = "On computation of waveguide scattering matrices for the Maxwell system",
abstract = "{\textcopyright} 2015, Springer Science+Business Media New York. 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.",
author = "B.A. Plamenevskii and A.S. Poretskii and O.V. Sarafanov",
year = "2015",
doi = "10.1007/s10688-015-0088-x",
language = "English",
volume = "49",
pages = "77--80",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - On computation of waveguide scattering matrices for the Maxwell system

AU - Plamenevskii, B.A.

AU - Poretskii, A.S.

AU - Sarafanov, O.V.

PY - 2015

Y1 - 2015

N2 - © 2015, Springer Science+Business Media New York. 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.

AB - © 2015, Springer Science+Business Media New York. 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.

U2 - 10.1007/s10688-015-0088-x

DO - 10.1007/s10688-015-0088-x

M3 - Article

VL - 49

SP - 77

EP - 80

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 1

ER -

ID: 3929855