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Acoustic Wave Propagation in an Underwater Sound Channel 2. Quantitative Theory

Blum, Joseph W. and Cohen, Donald S. (1971) Acoustic Wave Propagation in an Underwater Sound Channel 2. Quantitative Theory. IMA Journal of Applied Mathematics, 8 (2). pp. 199-220. ISSN 0272-4960. doi:10.1093/imamat/8.2.199. https://resolver.caltech.edu/CaltechAUTHORS:20200110-142501972

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Abstract

By using ray-theoretic-techniques we have developed in our previous paper, “Acoustic Wave Propagation in an Underwater Sound Channel. 1. Qualitative Theory” a certain qualitative understanding of several features of SOFAR propagation in an underwater sound channel. In the present paper a more penetrating quantitative study is done by means of analytical techniques on the governing equations. We study the transient problem for the Epstein profile by employing a double transform to formally derive an integral representation, and we obtain several alternative representations needed for asymptotic results which we also present. It is believed that several new and interesting asymptotic results have been derived.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/imamat/8.2.199DOIArticle
Additional Information:© 1971 by Academic Press Inc. (London) Limited. Received: 18 July 1969; Revision received: 24 September 1970; Published: 01 October 1971.
Issue or Number:2
DOI:10.1093/imamat/8.2.199
Record Number:CaltechAUTHORS:20200110-142501972
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200110-142501972
Official Citation:JOSEPH W. BLUM, DONALD S. COHEN, Acoustic Wave Propagation in an Underwater Sound Channel 2. Quantitative Theory, IMA Journal of Applied Mathematics, Volume 8, Issue 2, October 1971, Pages 199–220, https://doi.org/10.1093/imamat/8.2.199
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100635
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Jan 2020 00:48
Last Modified:16 Nov 2021 17:55

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