Hodographic vortices

Antonio Moro

doi:10.1016/j.physleta.2009.06.001

Hodographic vortices

Antonio Moro^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3021-3023
Number of pages	3
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	34
DOIs	https://doi.org/10.1016/j.physleta.2009.06.001
Publication status	Published - 17 Aug 2009
Externally published	Yes

Keywords

Hodograph method
Nonlinear optics
Phase singularities
Vortices

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10.1016/j.physleta.2009.06.001

Cite this

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title = "Hodographic vortices",

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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author = "Antonio Moro",

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doi = "10.1016/j.physleta.2009.06.001",

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N2 - 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.

AB - 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.

KW - Hodograph method

KW - Nonlinear optics

KW - Phase singularities

KW - Vortices

U2 - 10.1016/j.physleta.2009.06.001

DO - 10.1016/j.physleta.2009.06.001

M3 - Article

AN - SCOPUS:67651089689

SN - 0375-9601

VL - 373

SP - 3021

EP - 3023

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 34

ER -

Hodographic vortices

Abstract

Keywords

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