Reciprocity relationships in vector acoustics and their application to vector field calculations
Loading...
Authors
Deal, Thomas J.
Smith, Kevin B.
Subjects
Advisors
Date of Issue
2017
Date
2 August 2017
Publisher
AIP Publishing
Language
Abstract
The reciprocity equation commonly stated in underwater acoustics relates pressure fields and monopole sources. It is often used to predict the pressure measured by a hydrophone for multiple source locations by placing a source at the hydrophone location and calculating the field everywhere for that source. A similar equation that governs the orthogonal components of the particle velocity field is needed to enable this computational method to be used for acoustic vector sensors. This paper derives a general reciprocity equation that accounts for both monopole and dipole sources. This vector-scalar reciprocity equation can be used to calculate individual components of the received vector field by altering the source type used in the propagation calculation. This enables a propagation model to calculate the received vector field components for an arbitrary number of source locations with a single model run for each vector field component instead of requiring one model run for each source location. Application of the vector-scalar reciprocity principle is demonstrated with analytic solutions for a range-independent environment and with numerical solutions for a range-dependent environment using a parabolic equation model.
Type
Article
Description
The article of record as published may be found at 10.1121/1.4996458
Series/Report No
Department
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
8 p.
Citation
Deal TJ, Smith KB. Reciprocity relationships in vector acoustics and their application to vector field calculations. J Acoust Soc Am. 2017 Aug;142(2):523. doi: 10.1121/1.4996458. PMID: 28863613.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.