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arXiv · 1806.02884

Integral identities for reflection, transmission and scattering coefficients

Andrew N. Norris
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Abstract

Several integral identities related to acoustic scattering are presented. In each case the identity involves the integral over frequency of a physical quantity. For instance, the integrated transmission loss, a measure of the transmitted acoustic energy through an inhomogeneous layer, is shown to have a simple expression in terms of spatially averaged physical quantities. Known identities for the extinction cross section and for the acoustic energy loss in a slab with a rigid backing, are shown to be special cases of a general procedure for finding such integral identities.

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Andrew N. Norris. 2018-06-07. Integral identities for reflection, transmission and scattering coefficients. https://doi.org/10.1121/1.5058681

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