Influence of experimental noise on densities reconstructed from line projections

Details Influence of experimental noise on densities reconstructed from line projections Influence of experimental noise on densities reconstructed from line projections

2005-01-28

arxiv.org/abs/cond-mat/0501705v2

phys. stat. sol. (b) 242, 1279-1285 (2005)

Physics

Condensed Matter

Materials Science

6 pages, 8 figures

Scientific paper

10.1002/pssb.200440007

The influence of experimental noise on densities rho(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 rho(p) having the cubic symmetry. For the reconstructed densities propagation of the statistical error in terms of standard deviations, sigma[rho(p)], is estimated. We observe that the distribution of sigma[rho(p)] has its extremes along the main symmetry directions and also a tendency to accumulate for small p. Moreover, the more density components, rho_n(p), have to be taken to description of rho(p) the less anisotropic is the distribution of sigma[rho(p)]. Additionally, the error generated by the reconstruction method itself is discussed.

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