RADIATION AND SCATTERING IN ELECTROMAGNETIC WAVEGUIDES NEAR THRESHOLDS

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RADIATION AND SCATTERING IN ELECTROMAGNETIC WAVEGUIDES NEAR THRESHOLDS. / Plamenevskii, B. A.; Poretskii, A. S.

в: St. Petersburg Mathematical Journal, Том 32, № 4, 08.2021, стр. 781-807.

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

BibTeX

@article{78ea07a0410e4cac8218642d25f26758,

title = "RADIATION AND SCATTERING IN ELECTROMAGNETIC WAVEGUIDES NEAR THRESHOLDS",

abstract = "A waveguide occupies a three-dimensional domain G with several cylindrical outlets to infinity and is described by the stationary Maxwell system with perfectly conductive boundary conditions. It is assumed that the medium filling the waveguide is homogeneous and isotropic at infinity in a limiting sense. The paper is devoted to description of the behavior of the scattering matrix, radiation conditions, and solutions as the spectral parameter tends to a threshold. In particular, it is shown that the scattering matrix has finite one-sided limits at every threshold and the limits are expressed in terms of the “scattering matrix stable near the threshold”.",

keywords = "radiation principle, Scattering matrix, spectral properties, stable basis, threshold resonances",

author = "Plamenevskii, {B. A.} and Poretskii, {A. S.}",

note = "Publisher Copyright: {\textcopyright} 2021. American Mathematical Society.",

year = "2021",

month = aug,

doi = "10.1090/spmj/1670",

language = "English",

volume = "32",

pages = "781--807",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "4",

}

RIS

TY - JOUR

T1 - RADIATION AND SCATTERING IN ELECTROMAGNETIC WAVEGUIDES NEAR THRESHOLDS

AU - Plamenevskii, B. A.

AU - Poretskii, A. S.

PY - 2021/8

Y1 - 2021/8

N2 - A waveguide occupies a three-dimensional domain G with several cylindrical outlets to infinity and is described by the stationary Maxwell system with perfectly conductive boundary conditions. It is assumed that the medium filling the waveguide is homogeneous and isotropic at infinity in a limiting sense. The paper is devoted to description of the behavior of the scattering matrix, radiation conditions, and solutions as the spectral parameter tends to a threshold. In particular, it is shown that the scattering matrix has finite one-sided limits at every threshold and the limits are expressed in terms of the “scattering matrix stable near the threshold”.

AB - A waveguide occupies a three-dimensional domain G with several cylindrical outlets to infinity and is described by the stationary Maxwell system with perfectly conductive boundary conditions. It is assumed that the medium filling the waveguide is homogeneous and isotropic at infinity in a limiting sense. The paper is devoted to description of the behavior of the scattering matrix, radiation conditions, and solutions as the spectral parameter tends to a threshold. In particular, it is shown that the scattering matrix has finite one-sided limits at every threshold and the limits are expressed in terms of the “scattering matrix stable near the threshold”.

KW - radiation principle

KW - Scattering matrix

KW - spectral properties

KW - stable basis

KW - threshold resonances

UR - http://www.scopus.com/inward/record.url?scp=85111712558&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/75fdffa1-51e5-3cbd-92f6-19ab359670bc/

U2 - 10.1090/spmj/1670

DO - 10.1090/spmj/1670

M3 - Article

AN - SCOPUS:85111712558

VL - 32

SP - 781

EP - 807

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 87674602

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