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The wave equation in a medium with a time‐dependent boundary

 

作者: Leonard Fortuin,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1973)
卷期: Volume 53, issue 6  

页码: 1683-1685

 

ISSN:0001-4966

 

年代: 1973

 

DOI:10.1121/1.1913519

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

It is shown that the Helmholtz equation is not exactly correct for a medium with a time‐dependent boundary. The equation can be used with very good approximation when the time‐derivative of the surface elevation is much smaller than the speed of the waves through the medium. For underwater sound waves, reflected and scattered by an ocean surface that can be described by the Pierson‐Moskowitz spectrum, this means that the wind speed has to be much less than the sound speed.

 

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