Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2015

Идентификатор DOI: 10.1016/j.wavemoti.2015.02.003

Ключевые слова: Coupled mode theory, Non-Hermitian Hamiltonian, Acoustic resonator, s-matrix, Acoustic resonators, Boundary conditions, Hamiltonians, Optical waveguides, Scattering parameters, Waveguides, Neumann boundary condition, Non-Hermitian Hamiltonians, Numerical applications, Scattering functions, Three-dimensional resonators, Transmission spectrums, Acoustic wave scattering, acoustic wave, boundary condition, eigenvalue, matrix, wave scattering

Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator-waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator-waveguide problems are considered. (C) 2015 Elsevier B.V. All rights reserved.

Журнал: WAVE MOTION

Выпуск журнала: Vol. 56

Номера страниц: 52-66

ISSN журнала: 01652125

Место издания: AMSTERDAM

Издатель: ELSEVIER SCIENCE BV

• Maksimov D.N. (LV Kirensky Institute of Physics)
• Sadreev A.F. (LV Kirensky Institute of Physics)
• Lyapina A.A. (Siberian Federal University)
• Pilipchuk A.S. (Siberian Federal University)

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