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The Diffraction of Sound Waves by Penetrable Disks
Author(s) -
Yeh C.
Publication year - 1964
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19644680107
Subject(s) - diffraction , physics , decoupling (probability) , oblate spheroid , spherical wave , plane wave , series expansion , spheroid , plane (geometry) , sound wave , series (stratigraphy) , acoustic wave , optics , classical mechanics , mathematical analysis , acoustics , geometry , mathematics , quantum mechanics , geology , biochemistry , chemistry , control engineering , in vitro , engineering , paleontology
The exact solution of the diffraction of plane sound waves by an acoustically penetrable oblate spheroid is obtained. Results are given in terms of spheroidal functions. It is found that each expansion coefficient of the scattered or transmitted wave is coupled to all coefficients of the series expansion for the incident wave except when the spheroid degenerates to a sphere. Decoupling of the coefficients for certain special cases are discussed.