Propagation of Waves in a Bifurcated Cylindrical Waveguide With Wall Impedance Discontinuity

Büyükaksoy, Alinur; Demír, Ahmet

doi:10.2528/pierb08031225

Cited by 6 publications

(5 citation statements)

References 7 publications

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“…It was shown that the method of the effective non-Hermitian Hamiltonian can be used to calculate the S-matrix and the scattering function of sound-hard boundary acoustic scattering problem. Thanks to the projection of the total Hilbert space onto the inner states of the resonator the method is free of the discontinuity problem typical for the mode-matching techniques [29,30,31,32,33,34,35,36]. It was shown that in the continuous case the effective Hamiltonian can be truncated to a reasonable small number of eigenmodes of the closed system whose eigenfrequencies are concentrated around the frequency of the incident wave.…”

Section: Discussionmentioning

confidence: 99%

Coupled mode theory for acoustic resonators

Максимов¹,

Sadreev²,

Lyapina³

et al. 2015

Wave Motion

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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 resonatorwaveguide systems. In higher than one dimensions 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.

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Section: Discussionmentioning

confidence: 99%

Coupled mode theory for acoustic resonators

Максимов¹,

Sadreev²,

Lyapina³

et al. 2015

Wave Motion

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“…If a semi-infinite or finite geometry is in question, a hybrid method can be applied by using the Wiener-Hopf technique on the outer surface of the duct and the Mode-Matching method on the inner surface. 16,17 The Mode-Matching method is more suitable, especially for the discontinuities on the inner surface.…”

Section: Introductionmentioning

confidence: 99%

Acoustic wave radiation from a coaxial pipe with partial lining and inner perforated screen

Tiryakioglu

2023

International Journal of Aeroacoustics

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In this study, the analysis of sound waves from a coaxial pipe with a perforated screen and a partial acoustic absorbing lining is investigated. The geometry under consideration consists of an infinite pipe placed in a semi-infinite cylindrical pipe such that the inner surface of the outer pipe is covered with a partial acoustic absorbing lining. Because of the partial lining, the solution is obtained with both the Jones’ method and the Mode-Matching method. The effects of the problem parameters such as perforated screen and partial lining on the radiation phenomenon are presented.

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“…The contributions from the impedance discontinuities are accounted for through the solution of a Modified Wiener-Hopf Equation (MWHE) (Büyükaksoy et al, 2008;Tiryakioglu, Demir, 2016). Due to the difficulties in obtaining and solving the MWHE, the infinite lining is usually preferred rather than the finite one.…”

Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Tiryakioglu

Demír

2019

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The radiation of sound waves from partially lined duct is treated by using the mode-matching method in conjunction with the Wiener-Hopf technique. The solution is obtained by modification of the Wiener-Hopf technique and involves an infinite series of unknowns which are determined from an infinite system of linear algebraic equations. Numerical solution of this system is obtained for various values of the problem parameters, whereby the effects of these parameters on the sound diffraction are studied. A perfect agreement is observed when the results of radiated field are compared numerically with a similar work existing in the literature.

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Propagation of Waves in a Bifurcated Cylindrical Waveguide With Wall Impedance Discontinuity

Cited by 6 publications

References 7 publications

Coupled mode theory for acoustic resonators

Coupled mode theory for acoustic resonators

Acoustic wave radiation from a coaxial pipe with partial lining and inner perforated screen

Archives of Acoustics

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