Inverse Scattering by the Stability Index Method

Details Inverse Scattering by the Stability Index Method Inverse Scattering by the Stability Index Method

2001-11-08

arxiv.org/abs/math-ph/0111016v1

Physics

Mathematical Physics

Scientific paper

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which shows how stable the inversion is. If this index is small, then the inversion provides a set of potentials which differ so little, that practically one can represent this set by one potential. If this index is larger than some threshold, then practically one concludes that with the given data the inversion is unstable and the potential cannot be identified uniquely from the data. Inversion of the fixed-energy phase shifts for several model potentials is considered. The results show practical efficiency of the proposed method. The method is of general nature and is applicable to a very wide variety of the inverse problems.

Affiliated with

Also associated with

No associations

Rating

Inverse Scattering by the Stability Index Method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inverse Scattering by the Stability Index Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse Scattering by the Stability Index Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539653