title: Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point: comment.
abstract: Landgrave and Berriel-Valdos presented axial and radial sampling expansions for three-dimensional light amplitude distribution around the Gaussian focal point. [J. Opt. Soc. Am. A 14, 2962 (1997)]. The expansions were obtained under the assumption that the pupil function was rotationally symmetric. We present a new derivation of the axial expansion that does not make use of arbitrary formal assumptions used by Landgrave and Berriel-Valdos and eliminates some faults of the derivation given by Arsenault and Boivin, who published this expansion in 1967 [J. Appl. Phys. 38, 3988 (1967)]. We also discuss generalizations of the axial expansion to the case of pupils that exhibit no symmetry with respect to the axis considered.
authors.affiliation: Institute of Geophysics, Warsaw University, Pasteura 7, 02-093 Warszawa, Poland. mkowalcz@ghost.mimuw.edu.pl
authors.forename: Marek
authors.initials: M
authors.lastname: Kowalczyk
authors.forename: Tomasz
authors.initials: T
authors.lastname: Cichocki
authors.forename: Manuel
authors.initials: M
authors.lastname: Martínez-Corral
authors.forename: Laura
authors.initials: L
authors.lastname: Muñoz-Escrivá