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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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