title: Generation of an elliptic Bessel beam.
abstract: In an elliptic coordinate system the solution for a diffraction-free beam is given by a Mathieu beam, which is mathematically complicated and therefore takes considerable computational time and a large memory space. A technique is reported for the generation of elliptic hollow beams, which are actually scaled versions of higher-order Bessel beams. The analysis is based on the fact that stretching coordinates in the space domain results in a contraction of the coordinates in the frequency domain, along with a change in the overall amplitude of the spectrum. The beam, produced holographically, is structurally stable and retains its shape up to approximately 1 m.
authors.affiliation: Department of Applied Optics and Photonics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata-700009, India.
authors.forename: Rijuparna
authors.initials: R
authors.lastname: Chakraborty
authors.forename: Ajay
authors.initials: A
authors.lastname: Ghosh