Integral identities for reflection, transmission, and scattering coefficients

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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.

Original languageEnglish (US)
Pages (from-to)2109-2115
Number of pages7
JournalJournal of the Acoustical Society of America
Volume144
Issue number4
DOIs
StatePublished - Oct 1 2018

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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