title: Statistical analysis of phase-inversion neutron specular reflectivity.
abstract: The phase-inversion approach to neutron specular reflection is elucidated in a formal setting, in order to emphasize its conceptual coherence and to facilitate study of some of its statistical properties in the context of real data. An operational notion of data degradation is introduced and illustrated with the randomizing effects of shot noise ("counting" noise) and the systematic "bias" induced by data truncation. Some basic statistical effects of phase-inversion are worked out in the new formalism and illustrated by simulated examples. A principal is advanced that phase-inversion sets the limit of available information from specular reflection.
authors.affiliation: Department of Materials Science and Engineering, University of Maryland, USA. nberk@nist.gov
authors.forename: N F
authors.initials: NF
authors.lastname: Berk
authors.forename: C F
authors.initials: CF
authors.lastname: Majkrzak
mesh_terms: D008956:Models, Chemical; D033363:Neutron Diffraction / Q000706:statistics & numerical data*