title: Electron optical phase-shifts by Fourier methods: analytical versus numerical calculations.
abstract: The theoretical framework for the computation of electromagnetic fields and electron optical phase-shifts in Fourier space has been recently applied to objects with long-range fringing fields, such as reverse-biased p-n junctions and magnetic stripe domains near a specimen edge. In addition to new analytical results, in this work, we present a critical comparison between numerical and analytical computations. The influence of explicit and implicit boundary conditions on the phase shifts and phase-contrast images is also investigated in detail.
authors.affiliation: Department of Physics and Istituto Nazionale per la Fisica della Materia, University of Bologna, Viale B. Pichat 6/2, 40127 Bologna, Italy. fazzini@bo.imm.cnr.it
authors.forename: P F
authors.initials: PF
authors.lastname: Fazzini
authors.forename: G
authors.initials: G
authors.lastname: Pozzi
authors.forename: M
authors.initials: M
authors.lastname: Beleggia