Reconstruction of densities from compton profiles with applying Jacobi polynominals

The advent of synchrotron sources has lead to an increasing availability of high resolution Compton profiles J(pz) and consequent renewed interest in the reconstruction of the corresponding full momentum densities ρ(p). We present results of applying a new method in which the radial parts of ρ(p) and measured profiles are expressed in terms of 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 very good performance of our new reconstruction algorithm. (author)