Abstract
A bounded inhomogeneity
D
is immersed in an acoustic medium; the speed of sound is a function of position in
D
, and is constant outside. A time-harmonic source is placed at a point
y
and the pressure at a point
x
is measured. Given such measurements at all for all
x
∈
P
, for all
y
∈
P
where
P
is a plane that does not intersect
D
, can the speed of sound (in the unknown region
D
) be recovered? This is a velocity-inversion problem. The three-dimensional problem has been solved analytically by Ramm (
Phys. Lett
. 99A, 258-260 (1983)). In the present paper, analogous one-dimensional and two-dimensional problems are solved, as well as the problem where the plane
P
is the interface between two different acoustic media.
Reference20 articles.
1. Akhiezer N. I. 1965 The classical moment problem and some related questions in analysis. Edinburgh: Oliver & Boyd.
2. Bellman R. Kalaba R. E. & Lockett J. A. 1966 Numerical inversion of the Laplace transform. New York: Elsevier.
3. Bleistein N. & Cohen J. K. 1982 The velocity inversion problem - present status new directions. Geophysics47 1497-1511.
4. Chadan K. & Sabatier P. C. 1977 Inverse problems in quantum scattering theory. New York: Springer.
5. Numerical inversion of the Laplace transform: a survey and comparison of methods. J. comput;Davies B.;Phys.,1979
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