The absorptive nature of the scattering coefficient in the stress-energy tensor formalism for room acoustics - Télécom Paris
Conference Papers Year : 2022

The absorptive nature of the scattering coefficient in the stress-energy tensor formalism for room acoustics

Abstract

In the stress-energy tensor formalism, the symmetry between absorption and scattering coefficients, as proven by measurements combined with simulations, is counter-intuitive. By introducing the wall admittance, we show that the scattering coefficient is partly created by the real part of the wall admittance combined with the active intensity, that is, is partly due to absorption. However, it also depends on the imaginary part of the wall admittance in combination with the reactive intensity, which confers it genuine scattering properties. In the case of plane waves impinging on planar boundary, the admittance formalism shows that reactive intensity vanishes in directions parallel to the wall; when the source is at finite distance from the wall, a residual reactive intensity subsists. However, for curved boundaries, the velocity in directions parallel to the wall is no longer proportional to the pressure, and scattering occurs.
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Dates and versions

hal-03671851 , version 1 (17-07-2024)

Identifiers

  • HAL Id : hal-03671851 , version 1

Cite

Jean-Dominique Polack, Aidan Meacham, Roland Badeau. The absorptive nature of the scattering coefficient in the stress-energy tensor formalism for room acoustics. 24th international congress on acoustics (ICA 2022), Oct 2022, Gyeongju, South Korea. ⟨hal-03671851⟩
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