2013
DOI: 10.1121/1.4807508
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Determination of the complex acoustic scattering matrix of a right-angled duct

Abstract: A method for determining the complete higher-order scattering matrix of an acoustic discontinuity is developed. The method is demonstrated for a right-angled waveguide bend, and the magnitude and phase of the reflection and transmission coefficients are extracted precisely. The procedure is straightforward and based on the solutions to the Helmholtz equation by the finite element method (FEM). The consistency of the scattering coefficients found by this method is verified by their properties of symmetry, and t… Show more

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Cited by 14 publications
(3 citation statements)
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“…Coupling effect between two sub-chambers C 1 and C 2 . silencer outlet, a perfectly matched layer (PML) is introduced to describe the anechoic condition, which only allows outgoing waves with no spurious reflections [25].…”
Section: Numerical Simulation Toolsmentioning
confidence: 99%
“…Coupling effect between two sub-chambers C 1 and C 2 . silencer outlet, a perfectly matched layer (PML) is introduced to describe the anechoic condition, which only allows outgoing waves with no spurious reflections [25].…”
Section: Numerical Simulation Toolsmentioning
confidence: 99%
“…For 90 and 180 bends, see [11]. For 90 bends, there are later papers in which finite-element methods are used [12,13]. For some other geometries, see [1416].…”
Section: Introductionmentioning
confidence: 99%
“…To accommodate cross modes in a duct with scatterers, the wave matching technique [2,3] is used. The finite element and boundary element methods, are used to determine the scattering coefficients when the geometries of the ducts and scatterers are complicated [4,5]. While these wave matching and numerical methods are capable of producing accurate coefficients, they are less useful in directly delivering the physical insight into the peaks and valleys in the coefficient curves.…”
Section: Introductionmentioning
confidence: 99%