Spectral and scattering inverse problems
Abstract
The reconstruction of a differential operator from discrete spectra is reduced to its reconstruction from an Smatrix. This method makes it possible to solve the singular SturmLiouville problems which determine certain modes of a sphere. Results show that information on modes and scattering can be taken into account together. They are applied to the earth inverse problem and partial answers are given to a wellknown conjecture. Finally, the relevance of the JWKB approximation to this kind of problem is succinctly discussed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1978
 Bibcode:
 1978STIN...7924244S
 Keywords:

 Inversions;
 Scattering;
 Spectrum Analysis;
 SturmLiouville Theory;
 Elastic Waves;
 Lame Wave Equations;
 S Matrix Theory;
 Spheres;
 Vibration Mode;
 Communications and Radar