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arXiv · 0808.1235

Hodographic Vortices

Antonio Moro
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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.

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Antonio Moro. 2008-08-08. Hodographic Vortices. https://doi.org/10.1016/j.physleta.2009.06.001

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