Open AccessPhase-only shaping algorithm for Gaussian-apodized Bessel beams
Author(s) -
Charles G. Durfee,
John Gemmer,
Jerome V. Moloney
Publication year - 2013
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.015777
Subject(s) - apodization , bessel function , optics , strehl ratio , gaussian beam , wavefront , gaussian , phase (matter) , bessel beam , lens (geology) , depth of field , focus (optics) , physics , beam (structure) , algorithm , mathematics , quantum mechanics
Gaussian-apodized Bessel beams can be used to create a Bessel-like axial line focus at a distance from the focusing lens. For many applications it is desirable to create an axial intensity profile that is uniform along the Bessel zone. In this article, we show that this can be accomplished through phase-only shaping of the wavefront in the far field where the beam has an annular ring structure with a Gaussian cross section. We use a one-dimensional transform to map the radial input field to the axial Bessel field and then optimized the axial intensity with a Gerchberg-Saxton algorithm. By separating out the quadratic portion of the shaping phase the algorithm converges more rapidly.