Influence of experimental noise on densities reconstructed from line projections

• Published in: Physica Status Solidi (b) Vol. 242; no. 6; pp. 1279 - 1285
• Main Authors: Samsel-Czekała, M., Boguszewicz, Ł.
• Format: Journal Article
• Language: English
• Published: Berlin WILEY-VCH Verlag 01-05-2005; WILEY‐VCH Verlag; Wiley
• Subjects: 05.40.Ca; 06.20.Dk; 71.20.−b; 78.70.Bj; 87.59.Fm; Exact sciences and technology; Physics; Background noise; Anisotropy; Density
• ISSN: 0370-1972; 1521-3951
• DOI: 10.1002/pssb.200440007

The influence of experimental noise on densities ρ(p) reconstructed by the Cormack method from their line projections, e.g. 2D ACAR spectra, is investigated. Simulations of statistical noise are performed for various sets of 2D spectra for two model ρ(p) having the cubic symmetry. For the reconstructed densities propagation of the statistical error in terms of standard deviations, σ[ρ(p)], is estimated. We observe that the distribution of σ[ρ(p)] has its extremes along the main symmetry directions and also a tendency to accumulate for small p. Moreover, the more density components, ρn(p), have to be taken to description of ρ(p) the less anisotropic is the distribution of σ[ρ(p)]. Additionally, the error generated by the reconstruction method itself is discussed. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)