Logo image
Integral identities for reflection, transmission and scattering coefficients
Accepted manuscript   Open access   Peer reviewed

Integral identities for reflection, transmission and scattering coefficients

Andrew N. Norris
Journal of the Acoustical Society of America
2018
DOI:
https://doi.org/10.7282/T3R78JQD

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.
pdf
Manuscript347.54 kBDownloadView
Accepted Manuscript (AM) Open Access
url
Report an accessibility issueView
Please complete a content remediation request to report an accessibility issue with a library electronic resource, website, or service.

Metrics

125 File downloads
80 Record Views

Details

Logo image