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Wood's Refraction Correction Equations for a Constant‐Gradient Medium: An Alternate Derivation

 

作者: David T. Raphael,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1971)
卷期: Volume 50, issue 3B  

页码: 955-959

 

ISSN:0001-4966

 

年代: 1971

 

DOI:10.1121/1.1912720

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

Closed‐form solutions have been developed by Wood [J. Acoust. Soc. Amer.47, 1448–1452 (1970)] for the exact computation of the true distancedand direction θiof a sound source relative to the observer in an unbounded constant‐gradient medium. Wood's solutions are given in terms of the sound speedcat the receiver depth, the apparent direction θ0, the one‐way travel timet, and the positive gradientg. All of these quantities are measurable at the receiving point. Wood makes use of the Pekeris triangle formulas to arrive at these solutions; however, it is of interest to know whether and how the refraction correction equations can be derived from the conventional ray propagation and time equations in a constant‐gradient medium. Such an alternate derivation is presented in this article. Also, a few applications illustrating the utility of Wood's solutions are presented.

 

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