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Power series for the reverberation time

 

作者: W. B. Joyce,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1980)
卷期: Volume 67, issue 2  

页码: 564-571

 

ISSN:0001-4966

 

年代: 1980

 

DOI:10.1121/1.383922

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

The reciprocal of the reverberation timeTis expressed as a power series in the absorptivity of the enclosure. The leading term of the series is found to be the Sabine–Franklin expression, and the procedure is thus interpreted, for weakly absorbing enclosures, as a new derivation and confirmation of that still controversial expression. The next term of the series then provides a correction to the Sabine–Franklin value in many practical cases of intermediate absorptivity where the Sabine–Franklin value is reasonably accurate but not accurate enough. Four other formulas which have been advanced as improvements on Sabine–Franklin are shown to yield unreliable corrections which are even of the wrong sign in some enclosures. Finally, it is shown thatTbears a simple relation to the gaingof a laser, and, thus, existing evaluations of eithergorTare immediately interpreted as evaluations of the other.

 

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