Topological reactions of optical correlation vortices

Gu, Yalong; Gbur, Greg

doi:10.1016/j.optcom.2008.11.005

Cited by 23 publications

(31 citation statements)

References 18 publications

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“…The singularity in such a function thus shows regions where the phase is ill-defined. While some studies have been performed showing the use of such correlation vortices [21][22][23], no study has yet made a definitive linkage between the azimuthal index of an optical vortex and the vortices present in the cross-correlation function (CCF) and exploited this relationship.…”

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confidence: 99%

Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions

2012

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By analysis of the far-field cross-correlation function (CCF) of partially coherent optical beams, we demonstrate an implicit rule that the number of ring dislocations (dark zones) of the far-field CCF is equal to the original topological charge of an optical vortex rendered partially coherent. This novel link between an optical vortex and its correlation singularity may offer an efficient method for measuring the orbital angular momentum of partially coherent optical vortices in fields such as astrophysics and astronomy, as well as atmospheric laser communication.

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confidence: 99%

Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions

2012

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“…(Changing the choice of the reference point may lead to different topological reactions, as was remarked by Gu and Gbur [33].) A first result is shown in Fig.…”

Section: Topological Reactionsmentioning

confidence: 78%

Topological reactions of correlation functions in partially coherent electromagnetic beams

2013

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It was recently shown that so-called coherence vortices, singularities of the two-point correlation function, generally occur in partially coherent electromagnetic beams. We study the three-dimensional structure of these singularities and show that in successive cross sections of a beam a rich variety of topological reactions takes place. These reactions involve, apart from vortices, the creation or annihilation of dipoles, saddles, maxima and minima of the phase of the correlation function. Since these reactions happen generically, i.e., under quite general conditions, these observations have implications for interference experiments with partially coherent, electromagnetic beams.

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“…As in the case of conventional vortices [35,44,45], coherence simplices with winding number |m| > 1 are likely to be topologically unstable with respect to perturbations (cf [28]), and split into a number of lower winding-number excitations. By the term 'coherence simplex' we refer generically to any kind of topological defect in any correlation function and thus include e.g.…”

Section: Coherence Simplicesmentioning

confidence: 99%

“…Accordingly, quantized vorticity has emerged as a topic of interest in the context of optical and matter field coherence [19][20][21][22][23][24][25][26][27][28][29][30][31]. For a recent review of coherence vortices, see Gbur and Visser [32].…”

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confidence: 99%

“…Here the term 'coherence vortex' has been coined to describe phase singularities or nodal lines in the cross-spectral density matrix, and related coherence functions such as the spectral degree of coherence [20]. Coherence vortices may undergo topological reactions such as splitting, fusing and pairwise creation/annihilation [28]. They may be spontaneously formed in a Young-type three-pinhole interferometer [27], and via Mie scattering from one or several spheres [29,30].…”

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Coherence simplices

Simula

Paganin

2012

New J. Phys.

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Coherence simplices are generic topological correlation-function defects supported by a hierarchy of coherence functions. We classify coherence simplices based on their topology and discuss their structure and dynamics, together with their relevance to several physical systems.The quantized vortex is an archetypal topological defect that arises in a variety of physical systems including superfluids, superconductors, optical speckle fields, coherent fields in the focal volumes of lenses, coherent optical fields scattered from sharp edges, eigenmodes of waveguides and angular momentum eigenstates of the hydrogenic atom [1-3]. The structure and dynamics of these conventional quantized vortices are similar to those of classical eddies, while enabling some unique material properties such as crystallization of magnetic flux in type-II superconductors and quantized circulation in rotating superfluids [4].

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Topological reactions of optical correlation vortices

Cited by 23 publications

References 18 publications

Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions

Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions

Topological reactions of correlation functions in partially coherent electromagnetic beams

Coherence simplices

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