Invariance of Geometric Spreading Loss with Changes in Ray Parametrization
作者:
J. T. Warfield,
M. J. Jacobson,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1971)
卷期:
Volume 50,
issue 1B
页码: 342-347
ISSN:0001-4966
年代: 1971
DOI:10.1121/1.1912638
出版商: Acoustical Society of America
数据来源: AIP
摘要:
In the ray theory of acoustics, there has been some confusion regarding the variables to be held constant in the evaluation of partial derivatives of the ray position vector in the calculation of geometric spreading loss. It is shown that the general formula for spreading loss remains unchanged when the parameter along a ray is changed from travel time to a new parameter, provided any variable that occurs in the expression for the position vector is regarded as a function of the new parameter and the initial ray angles.
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