Recovering source location, polarization, and shape of obstacle from elastic scattering data

Obstacle and Boundary Determination from Scattering Data

In this paper, we are concerned with the identification of complex obstacles from the scattering data for the acoustic problem. The complex obstacle is characterized by its shape and the boundary values of the impedance coefficient. We establish pointwise formulas which can be used to reconstruct the shape of the obstacle and give explicitly the values of the surface impedance as a function of ...

Inverse obstacle scattering for elastic waves

Polarization Transfer in Elastic Electron Scattering from Nucleons and Deuterons*

We present a description, including relevant formulas and numerical estimates, of a set of polarization transfer experiments which appear to offer a feasible way to a) separate the deuteron charge and quadrupole form factors and b)measure the neutron and proton electric form factors. The experiments require a 2 to 4 GeV high-intensity, high-duty factor, longitudinally polarized electron beam, a...

Recovering Asymptotics of Metrics from Fixed Energy Scattering Data

The problem of recovering the asymptotics of a short range perturbation of the Euclidean metric on R n from xed energy scattering data is studied. It is shown that if two such metrics, g 1 ; g 2 ; have scattering data at some xed energy which are equal up to smoothing, then there exists a diieomorphism`` xing innnity' such that g 1 g 2 is rapidly decreasing. Given the scattering matrix at two e...

Elastic-Scattering Data

We report the results of a phase-shift analysis (PSA) of the low-energy elastic-scattering data. Following the method which we had set forth in our previous PSA [1], we first investigate the self-consistency of the low-energy elastic-scattering databases, via two separate analyses of (first) the and (subsequently) the elasticscattering data. There are two main differences to our previous PSA: 1...