scholarly journals Propagation of Short‐Wavelength Acoustic Waves through an Inhomogeneous Medium

1964 ◽  
Vol 36 (10) ◽  
pp. 1998-1998
Author(s):  
G. R. Barnard ◽  
K. McCormack
Keyword(s):  
Inhomogeneous Medium ◽  
Acoustic Waves ◽  
Short Wavelength

LOW-FREQUENCY ACOUSTIC SCATTERING BY AN INHOMOGENEOUS MEDIUM

2005 ◽  
Vol 15 (10) ◽  
pp. 1459-1468 ◽  
Author(s):  
GEORGE VENKOV
Keyword(s):  
Refractive Index ◽  
Plane Wave ◽  
Inhomogeneous Medium ◽  
Acoustic Waves ◽  
Spherical Wave ◽  
Low Frequency ◽  
Far Field ◽  
Scattering Medium ◽  
Wave Incidence ◽  
Plane Wave Incidence

This paper deals with the scattering of time-harmonic acoustic waves by inhomogeneous medium. We study the problem to recover the near and the far field using a priori information about the refractive index and the support of inhomogeneity. The incident spherical wave is modified in such a way as to recover the plane wave incidence when the source point approaches infinity. Applying the low-frequency expansions, the scattering medium problem is reduced to a sequence of potential problems for the approximation coefficients in the presence of a monopole singularity located at the source of incidence. Complete expansions for the integral representation formula in the near field as well as for the scattering amplitude in the far field are provided. The method is applied to the case of a spherical region of inhomogeneity and a radial dependent refractive index. As the point singularity tends to infinity, the relative results recover the scattering medium problem for plane wave incidence.

The scattering of acoustic waves by a spherically stratified inhomogeneous medium

1977 ◽  
Vol 76 (4) ◽  
pp. 345-350 ◽  
Author(s):  
David Colton
Keyword(s):  
Inhomogeneous Medium ◽  
Acoustic Waves ◽  
Index Of Refraction ◽  
Wave Number ◽  
Direct And Inverse Problems ◽  
Large Index ◽  
Small Wave ◽  
Small Wave Number ◽  
Limiting Case ◽  
Scattering Of Acoustic Waves

SynopsisIntegral operators are used to solve the direct and inverse problems of the scattering of acoustic waves by a spherically stratified inhomogeneous medium of compact support. The results are valid for all values of the wave number and an arbitrarily large index of refraction. In the limiting case of small wave number or small inhomogeneities the results are in agreement with those of Rorres and Born.

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