title: Marginal phase correction of truncated Bessel beams
abstract: Approximate analytic expressions are obtained for evaluating the axial intensity and the central-lobe diameter of J0 Bessel beams transmitted through a finite-aperture phase filter. A reasonable quality factor governing the axial-intensity behavior of a phase-undistorted truncated Bessel beam is found to be the inverse square root of the Fresnel number defined, for a given aperture, from the axial point of geometrical shadow. Additional drastic reduction of axial-intensity oscillations is accomplished by using marginal phase correction of the beam instead of the well-known amplitude apodization. A procedure for analytically calculating an optimal monotonic slowly varying correction phase function is described.
authors.affiliation: Russian Academy of Sciences, Institute of Automation and Electrometry, Prospekt Akademika Koptyuga 1, Novosibirsk. sedukhin@iae.nsk.su
authors.initials: AG
authors.lastname: Sedukhin