Work

Integral identities for reflection, transmission, and scattering coefficients

Year: 2018

Type: article

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.

Source: The Journal of the Acoustical Society of America

DOI: 10.1121/1.5058681

Author: Andrew N. Norris

Institution: Rutgers, The State University of New Jersey

Language: English

Topic: Acoustic Wave Phenomena Research

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Office of Naval Research

Awards: G2008711023, EFRI NewLAW: Dynamic Elastic media: Passive and Active non-Reciprocal Theory, Experiment and Design