Reciprocity relationships in vector acoustics and their application to vector field calculations
Authors
Deal, Thomas J.
Smith, Kevin B.
Subjects
Advisors
Date of Issue
2017
Date
2 August 2017
Publisher
JASA
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
Physics
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.