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 $\sim 1\mathrm{m}$.

© 2006 Optical Society of America

Generation of an elliptic hollow beam using Mathieu and Bessel functions

Rijuparna Chakraborty and Ajay Ghosh
J. Opt. Soc. Am. A 23(9) 2278-2282 (2006)

Rows of optical vortices from elliptically perturbing a high-order beam

Mark R. Dennis
Opt. Lett. 31(9) 1325-1327 (2006)

Evanescent Bessel beam generation via surface plasmon resonance excitation by a radially polarized beam

Qiwen Zhan
Opt. Lett. 31(11) 1726-1728 (2006)

Experimental generation and analysis of first-order TE and TM Bessel modes in free space

A. Flores-Pérez, J. Hernández-Hernández, R. Jáuregui, and K. Volke-Sepúlveda
Opt. Lett. 31(11) 1732-1734 (2006)

Average intensity and spreading of an elliptical Gaussian beam propagating in a turbulent atmosphere

Yangjian Cai and Sailing He
Opt. Lett. 31(5) 568-570 (2006)