Computation of waveguide scattering matrix near thresholds

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Computation of waveguide scattering matrix near thresholds. / Kabardov, M. M.; Plamenevskii, B. A.; Sharkova, N. M.

в: Applicable Analysis, Том 96, № 8, 11.06.2017, стр. 1295-1302.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{7a1c604ede1b42fd87b324881a7eb0b3,

title = "Computation of waveguide scattering matrix near thresholds",

abstract = "A waveguide occupies infinite strip with one or several narrows on a two-dimensional (2D) plane and is governed by the Helmholtz equation with Dirichlet boundary condition. On the waveguide continuous spectrum, which coincides with a half-axis, a scattering matrix is defined. At each point of the continuous spectrum this matrix has finite size, which changes at thresholds. The thresholds form a sequence of positive numbers increasing to infinity. Approximate calculation of the scattering matrix in a threshold vicinity requires special treatment. We discuss and compare two methods of numerical approximation to the scattering matrix near a threshold.",

keywords = "augmented wave space, Helmholtz equation, scattering matrix, threshold",

author = "Kabardov, {M. M.} and Plamenevskii, {B. A.} and Sharkova, {N. M.}",

note = "Funding Information: This work was supported by the SPbGU [project number 11.38.666.2013]. Publisher Copyright: {\textcopyright} 2016 Informa UK Limited, trading as Taylor & Francis Group. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

year = "2017",

month = jun,

day = "11",

doi = "10.1080/00036811.2016.1188287",

language = "English",

volume = "96",

pages = "1295--1302",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor & Francis",

number = "8",

}

RIS

TY - JOUR

T1 - Computation of waveguide scattering matrix near thresholds

AU - Kabardov, M. M.

AU - Plamenevskii, B. A.

AU - Sharkova, N. M.

N1 - Funding Information: This work was supported by the SPbGU [project number 11.38.666.2013]. Publisher Copyright: © 2016 Informa UK Limited, trading as Taylor & Francis Group. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2017/6/11

Y1 - 2017/6/11

N2 - A waveguide occupies infinite strip with one or several narrows on a two-dimensional (2D) plane and is governed by the Helmholtz equation with Dirichlet boundary condition. On the waveguide continuous spectrum, which coincides with a half-axis, a scattering matrix is defined. At each point of the continuous spectrum this matrix has finite size, which changes at thresholds. The thresholds form a sequence of positive numbers increasing to infinity. Approximate calculation of the scattering matrix in a threshold vicinity requires special treatment. We discuss and compare two methods of numerical approximation to the scattering matrix near a threshold.

AB - A waveguide occupies infinite strip with one or several narrows on a two-dimensional (2D) plane and is governed by the Helmholtz equation with Dirichlet boundary condition. On the waveguide continuous spectrum, which coincides with a half-axis, a scattering matrix is defined. At each point of the continuous spectrum this matrix has finite size, which changes at thresholds. The thresholds form a sequence of positive numbers increasing to infinity. Approximate calculation of the scattering matrix in a threshold vicinity requires special treatment. We discuss and compare two methods of numerical approximation to the scattering matrix near a threshold.

KW - augmented wave space

KW - Helmholtz equation

KW - scattering matrix

KW - threshold

UR - http://www.scopus.com/inward/record.url?scp=84969819972&partnerID=8YFLogxK

U2 - 10.1080/00036811.2016.1188287

DO - 10.1080/00036811.2016.1188287

M3 - Article

VL - 96

SP - 1295

EP - 1302

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 8

ER -

ID: 7588602

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