Hodographic Vortices
Optics
2012-10-01 v3 Exactly Solvable and Integrable Systems
Abstract
Vortices are screw phase dislocations associated with helicoidal wave-fronts. In nonlinear optics, vortices arise as singular solutions to the phase-intensity equations of geometric optics. They exist for a general class of nonlinear response functions. In this sense, vortices possess a universal character. Analysis of geometric optics equations on the hodograph plane leads to deformed vortex type solutions that are sensitive to the form of the nonlinearity. The case of a Kerr type nonlinear response is discussed as a specific example.
Cite
@article{arxiv.0808.1235,
title = {Hodographic Vortices},
author = {Antonio Moro},
journal= {arXiv preprint arXiv:0808.1235},
year = {2012}
}
Comments
Revised version, 8 pages