The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

A waveguide occupies a domain G in ℝ3 with several cylindrical outlets to infinity; the boundary ∂G is assumed to be smooth. The dielectric ε and magnetic μ permittivities are matrix-valued functions smooth and positive definite in G. At every cylindrical outlet, the matrices e and μ tend, at infinity, to limit matrices independent of the axial variable. The limit matrices can be arbitrary smooth and positive definite matrix-valued functions of the transverse coordinates in the corresponding cylinder. In such a waveguide, the stationary Maxwell system with perfectly conducting boundary conditions and a real spectral parameter is considered. In the presence of charges and currents, the corresponding boundary value problem with radiation conditions turns out to be well posed. A unitary scattering matrix is also defined. The Maxwell system is extended to an elliptic system. The results for the Maxwell system are derived from those obtained for the elliptic problem.

Язык оригиналаанглийский
Страницы (с-по)289-314
Число страниц26
ЖурналSt. Petersburg Mathematical Journal
Том29
Номер выпуска2
DOI
СостояниеОпубликовано - 1 янв 2018

Отпечаток

Maxwell System
Waveguide
Waveguides
Infinity
Radiation Condition
Unitary matrix
Scattering Matrix
Positive definite matrix
Permittivity
Elliptic Systems
Smooth function
Elliptic Problems
Positive definite
Transverse
Boundary Value Problem
Charge
Tend
Boundary conditions
Boundary value problems
Arbitrary

Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел
  • Прикладная математика

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The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling. / Plamenevskiĭ, B. A.; Poretskiĭ, A. S.

В: St. Petersburg Mathematical Journal, Том 29, № 2, 01.01.2018, стр. 289-314.

Результат исследований: Научные публикации в периодических изданияхстатья

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