Exact analytic expressions of Green’s functions for wave propagation in certain types of range‐dependent inhomogeneous media
作者:
Y. L. Li,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1994)
卷期:
Volume 96,
issue 1
页码: 484-490
ISSN:0001-4966
年代: 1994
DOI:10.1121/1.410433
出版商: Acoustical Society of America
关键词: GREEN FUNCTION;SOUND WAVES;WAVE PROPAGATION;POINT SOURCES;INHOMOGENEOUS MATERIALS;INTEGRAL EQUATIONS;REFRACTION
数据来源: AIP
摘要:
Some exact analytic expressions of Green’s functions are obtained for wave propagation in range‐dependent inhomogeneous media where the refractive index profile can be a function of radial or horizontal distance. These solutions are obtained by starting with a onefold integral representation for the solution that was derived from the path integral. The study is extended to the cases involving either a soft or hard boundary. These solutions are particularly useful for testing the validity of approximate or numerical solutions for wave propagation through range‐dependent media, and for construction of more general solutions for problems with boundaries, through the use of integral equation techniques.
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