An inverse scattering problem for acoustic waves in a spherically stratified medium
1977 ◽
Vol 20
(3)
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pp. 257-263
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Keyword(s):
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).
1991 ◽
Vol 34
(2)
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pp. 295-311
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2004 ◽
Vol 134
(4)
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pp. 661-682
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1979 ◽
Vol 84
(1-2)
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pp. 135-143
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1978 ◽
Vol 9
(5)
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pp. 935-942
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2012 ◽
Vol 11
(2)
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pp. 271-284
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Keyword(s):
1985 ◽
Vol 45
(6)
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pp. 1039-1053
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Keyword(s):