Vortex derivatives

Isaac Freund

doi:10.1016/s0030-4018(96)00739-0

Vortex derivatives

Isaac Freund

Department of Physics

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

16 Scopus citations

Abstract

It has long been known that optical vortices are located at intersections of the zero crossings of the real and imaginary parts of the wave function. By examining singular (divergent) phase and other derivatives of all orders, we now show that there are infinitely many additional zero crossings passing through every vortex. Each zero crossing makes its own topological demands on the wave function, leading to infinitely many topological constraints on the wave field structure.

Original language	English
Pages (from-to)	118-126
Number of pages	9
Journal	Optics Communications
Volume	137
Issue number	1-3
DOIs	https://doi.org/10.1016/s0030-4018(96)00739-0
State	Published - 15 Apr 1997

Bibliographical note

Funding Information:
This work was supportedb y the Israel Science Foundation of the Israel National Academy of Sciences and Humanities.

Funding

This work was supportedb y the Israel Science Foundation of the Israel National Academy of Sciences and Humanities.

Funders	Funder number
Israel Academy of Sciences and Humanities

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10.1016/s0030-4018(96)00739-0

Cite this

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abstract = "It has long been known that optical vortices are located at intersections of the zero crossings of the real and imaginary parts of the wave function. By examining singular (divergent) phase and other derivatives of all orders, we now show that there are infinitely many additional zero crossings passing through every vortex. Each zero crossing makes its own topological demands on the wave function, leading to infinitely many topological constraints on the wave field structure.",

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AB - It has long been known that optical vortices are located at intersections of the zero crossings of the real and imaginary parts of the wave function. By examining singular (divergent) phase and other derivatives of all orders, we now show that there are infinitely many additional zero crossings passing through every vortex. Each zero crossing makes its own topological demands on the wave function, leading to infinitely many topological constraints on the wave field structure.

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Vortex derivatives

Abstract

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