On a Method of Approximate Computing of Scattering Matrices for Electromagnetic Waveguides

Результат исследований: Научные публикации в периодических изданияхстатьянаучнаярецензирование

Выдержка

Abstract: The Maxwell system is considered in a three-dimensional domain G having several cylindrical ends. The coefficients are variable and stabilizing at infinity with exponential rate. The limit coefficients are independent of the axial coordinate in the corresponding cylinder. A scattering matrix is defined on the waveguide continuous spectrum outside of the thresholds. The matrix depends on the spectral parameter, is of finite size, which remains constant between neighbouring thresholds and changes when the parameter crosses a threshold. The scattering matrix is unitary. In the paper, we propose a method for approximate computation of the scattering matrix. Moreover, we prove the existence of finite one-side limits of this matrix at every threshold.

Языканглийский
Страницы414-417
Число страниц4
ЖурналDoklady Physics
Том63
Номер выпуска10
DOI
СостояниеОпубликовано - 1 окт 2018

Предметные области Scopus

  • Вычислительная механика
  • Сопротивление материалов
  • Физика и астрономия (все)

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On a Method of Approximate Computing of Scattering Matrices for Electromagnetic Waveguides. / Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V.

В: Doklady Physics, Том 63, № 10, 01.10.2018, стр. 414-417.

Результат исследований: Научные публикации в периодических изданияхстатьянаучнаярецензирование

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AB - Abstract: The Maxwell system is considered in a three-dimensional domain G having several cylindrical ends. The coefficients are variable and stabilizing at infinity with exponential rate. The limit coefficients are independent of the axial coordinate in the corresponding cylinder. A scattering matrix is defined on the waveguide continuous spectrum outside of the thresholds. The matrix depends on the spectral parameter, is of finite size, which remains constant between neighbouring thresholds and changes when the parameter crosses a threshold. The scattering matrix is unitary. In the paper, we propose a method for approximate computation of the scattering matrix. Moreover, we prove the existence of finite one-side limits of this matrix at every threshold.

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