Vortex flowers

Isaac Freund

doi:10.1016/s0030-4018(01)01399-2

Vortex flowers

Isaac Freund

Department of Physics - at Bar-Ilan University

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

9 Scopus citations

Abstract

Methods are described for generating vortices that are exact solutions of the paraxial wave equation that have arbitrary Poincaré-Hopf indices (positive, negative, or zero), and arbitrary topological charges (winding numbers). Vortices with indices greater than 1 are decorated with phase "petals", and take the form of vortex flowers. Instructions are provided for sowing flower gardens, and decay modes under propagation of flowers implanted in Gaussian laser beams are studied.

Original language	English
Pages (from-to)	63-76
Number of pages	14
Journal	Optics Communications
Volume	196
Issue number	1-6
DOIs	https://doi.org/10.1016/s0030-4018(01)01399-2
State	Published - 1 Sep 2001

Keywords

Phase singularities
Poincaré-Hopf indices
Vortices

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10.1016/s0030-4018(01)01399-2

Cite this

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title = "Vortex flowers",

abstract = "Methods are described for generating vortices that are exact solutions of the paraxial wave equation that have arbitrary Poincar{\'e}-Hopf indices (positive, negative, or zero), and arbitrary topological charges (winding numbers). Vortices with indices greater than 1 are decorated with phase {"}petals{"}, and take the form of vortex flowers. Instructions are provided for sowing flower gardens, and decay modes under propagation of flowers implanted in Gaussian laser beams are studied.",

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year = "2001",

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doi = "10.1016/s0030-4018(01)01399-2",

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AU - Freund, Isaac

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N2 - Methods are described for generating vortices that are exact solutions of the paraxial wave equation that have arbitrary Poincaré-Hopf indices (positive, negative, or zero), and arbitrary topological charges (winding numbers). Vortices with indices greater than 1 are decorated with phase "petals", and take the form of vortex flowers. Instructions are provided for sowing flower gardens, and decay modes under propagation of flowers implanted in Gaussian laser beams are studied.

AB - Methods are described for generating vortices that are exact solutions of the paraxial wave equation that have arbitrary Poincaré-Hopf indices (positive, negative, or zero), and arbitrary topological charges (winding numbers). Vortices with indices greater than 1 are decorated with phase "petals", and take the form of vortex flowers. Instructions are provided for sowing flower gardens, and decay modes under propagation of flowers implanted in Gaussian laser beams are studied.

KW - Phase singularities

KW - Poincaré-Hopf indices

KW - Vortices

UR - https://www.scopus.com/pages/publications/0035451394

U2 - 10.1016/s0030-4018(01)01399-2

DO - 10.1016/s0030-4018(01)01399-2

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AN - SCOPUS:0035451394

SN - 0030-4018

VL - 196

SP - 63

EP - 76

JO - Optics Communications

JF - Optics Communications

IS - 1-6

ER -

Vortex flowers

Abstract

Keywords

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