Hodographic vortices
Copyright policy )Hodographic vortices
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.
Revised version, 8 pages
- SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Italy
- Loughborough University United Kingdom
Nonlinear Sciences - Exactly Solvable and Integrable Systems, hodograph method, nonlinear optics, vortices, phase singularities, FOS: Physical sciences, Lasers, masers, optical bistability, nonlinear optics, Exactly Solvable and Integrable Systems (nlin.SI), Geometric optics, Physics - Optics, Optics (physics.optics)
Nonlinear Sciences - Exactly Solvable and Integrable Systems, hodograph method, nonlinear optics, vortices, phase singularities, FOS: Physical sciences, Lasers, masers, optical bistability, nonlinear optics, Exactly Solvable and Integrable Systems (nlin.SI), Geometric optics, Physics - Optics, Optics (physics.optics)
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