Hodographic Vortices

Details Hodographic Vortices Hodographic Vortices

2008-08-08

arxiv.org/abs/0808.1235v3

Physics Letters A, vol. 373 (2009) pp. 302-3023

Physics

Optics

Revised version, 8 pages

Scientific paper

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.

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