The Scattering of Acoustic Waves by a Spherically Stratified Medium and an Obstacle

1978 ◽  
Vol 9 (5) ◽  
pp. 935-942 ◽  
Author(s):  
David Colton

1977 ◽  
Vol 20 (3) ◽  
pp. 257-263 ◽  
Author(s):  
David Colton

The inverse problem we will consider in this paper has its origins in the following problem connected with the scattering of acoustic waves in a nonhomogeneous medium. Let an incoming plane acoustic wave of frequency ω moving in the direction of the z axis be scattered off a “soft” sphere Ω of radius one which is surrounded by a pocket of rarefied or condensed air in which the local speed of sound is given by c(r) where r = |x| for x ∈ R3. Let us(x)eiωt be the velocity potential of the scattered wave and let r, θ, φ be spherical coordinates in R3. Then from a knowledge of the far field pattern f(θ, φ, λ) for λ = ω/c0 contained in some finite interval 0 < λ0 ≤ λ ≤ λ1,, we would like to determine the unknown function c(r).





2003 ◽  
Vol 114 (1) ◽  
pp. 45-47 ◽  
Author(s):  
Farhang Honarvar ◽  
Ying Fan ◽  
Anthony N. Sinclair






1969 ◽  
Vol 46 (1A) ◽  
pp. 122-122
Author(s):  
C. W. Horton ◽  
D. R. Melton


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