Reconstruction of Densities from Compton Profiles with Applying Jacobi Polynomials

Abstract

The advent of synchrotron sources has led to an increasing availability of high resolution Compton profiles J(pz ) and a consequent renewed interest in the reconstruction of the corresponding full momentum densities p(p). We present results of applying a new method in which the radial parts of p(p) and the measured profiles are expressed in terms of the Jacobi polynomials. The technique is demonstrated using model projections that correspond to Mg and Gd spectra. Reconstructed densities, being in very good agreement with model ones, are a very good performance of our new reconstruction algorithm.

Joint refinement of a local wave-function model from Compton and Bragg scattering data

“…Since the pioneer works by Mijnarens 10 and Hansen, 21 many efforts have been put in proposing reconstruction methods, especially during the last five years. [22][23][24][25][26] As a result, the quality of the reconstructed n(p ជ ) has increased to the point where it could actually be considered as an observed quantity. Thanks to the simplicity of the system, such an approach could be used in the case of LiH using the Hansen reconstruction method.…”