Reconstruction of densities from Compton profiles with applying Jacobi polynomials

TL;DR

This paper introduces a novel reconstruction method for full momentum densities from Compton profiles using Jacobi polynomials, demonstrating high accuracy with model spectra of Mg and Gd.

Contribution

The paper presents a new algorithm employing Jacobi polynomials for reconstructing densities from Compton profiles, showing improved accuracy over existing methods.

Findings

Reconstructed densities closely match model spectra.

The method effectively captures the radial parts of the densities.

Demonstrated with Mg and Gd spectra.

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 rho(p). We present results of applying a new method in which the radial parts of rho(p) and the 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 a very good performance of our new reconstruction algorithm.