Inverse Scattering for Geophysical Problems. III. On the Velocity-Inversion Problems of Acoustics

Details Inverse Scattering for Geophysical Problems. III. On the Velocity-Inversion Problems of Acoustics Inverse Scattering for Geophysical Problems. III. On the Velocity-Inversion Problems of Acoustics

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rspsa.399..153m&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 399, Issue 1816, pp. 153-166

Computer Science

Sound

4

Scientific paper

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 x in P for all y in 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.

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