Research output: Contribution to journal › Article
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.Research output: Contribution to journal › Article
}
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