31 December 2003 Optical vortex trajectories through paraxial modal analysis
Author Affiliations +
Proceedings Volume 5182, Wave-Optical Systems Engineering II; (2003); doi: 10.1117/12.503583
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States
Optical vortices are ubiquitous in coherent optical beams -- they appear naturally in speckle fields and can also be excited artificially with, for instance, diffractive optical elements. An understanding of the propagation of such vortices would be useful for applications of this phenomenon. A method is provided to compute the trajectories of optical vortices in complicated scenarios. The Gaussian beam in which the vortices are embedded is expressed in terms of paraxial modes. The positions of the vortices as a function of the propagation distance can then be computed analytically. The case of a vortex dipole is analyzed and shown to undergo annihilation and revival of the pair under certain conditions. Expressions are provided for the trajectories of a canonically launched vortex dipole. The analytical predictions are compared with numerical simulations.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Filippus S. Roux, "Optical vortex trajectories through paraxial modal analysis", Proc. SPIE 5182, Wave-Optical Systems Engineering II, (31 December 2003); doi: 10.1117/12.503583; https://doi.org/10.1117/12.503583

Optical vortices

Modal analysis

Diffractive optical elements

Gaussian beams

Numerical simulations


Systems engineering


Stochastic singular optics
Proceedings of SPIE (December 17 2013)
Polynomial Gaussian beams
Proceedings of SPIE (August 21 2009)
Diffraction of optical vortices
Proceedings of SPIE (November 18 1999)

Back to Top