Investigation of the Propagation of Uncertainty in the Measurement of the Scattering Matrix of a Duct Element Containing a Porous Material
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Abstract
The need for a theoretical simulation of the experiment is intended to determine which parameters of the experiment are most sensitive to error, and to take these into account when measuring and reducing errors. This paper presents a theoretical simulation of the experimental procedure of measuring the scattering matrix and the acoustic power attenuation of a duct element containing a porous material, in order to identify the parameters affecting the measurements. The Monte Carlo technique is used to evaluate the influence of errors in measurement parameters (the separation distance, the length of porous material, and the incident pressure modulus) on the measured quantities (scattering matrix coefficients and the acoustic power attenuation). This method is considered a reference for examining the propagation of uncertainties in theoretical methods. The results of the uncertainty simulation provided 95% confidence intervals and maximum and minimum errors for each parameter.
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