The integral for \(\alpha _{{dif}}\) from → Sect. D.5 of bulk reacting absorbers generally must be evaluated numerically. The diagram below shows a contour plot of \(\alpha _{{dif}}\) for a porous layer of thickness d with hard back over the non-dimensional parameters \(F=f\cdot d/c_{{0}}\) and \(R=\Xi\cdot d/Z_{{0}}\). In the parameter range above and on the left-hand side of the dash-dotted curve, the absorption coefficients of a locally reacting and a bulk reacting porous layer agree with each other. In the range above and on the right-hand side of the dashed straight line, the bulk reacting layer effectively has an infinite thickness.
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References
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(2008). Diffuse Sound Reflection at a Bulk Reacting Porous Layer. In: Mechel, F.P. (eds) Formulas of Acoustics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76833-3_53
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