Spatial Correlation Singularity of a Vortex Field

Palacios, David; Maleev, Ivan D.; Marathay, A. S.; Swartzlander, Grover A.

doi:10.1103/physrevlett.92.143905

Cited by 251 publications

(153 citation statements)

References 14 publications

Supporting

Mentioning

142

Contrasting

Unclassified

Order By: Relevance

“…The distinctive feature of a vortex excited in a partially coherent field is the characteristic ring dislocation in its cross-correlation function [28]. As was demonstrated recently by Motzek et.al.…”

Section: Introductionsupporting

confidence: 54%

“…Several routes to stabilize self-localized vortices have been proposed; for example, stable vortex solitons have been predicted to exist in media with competing nonlinearities [9] as well as in nonlocal nonlinear media [5,39]. A different approach to vortex stabilization is proposed for partially coherent optical vortices [28] since the threshold of modulational instability can be tuned with the degree of partial coherence of the light field [2,22]. This stabilization of vortex beams has been demonstrated in experiments with photorefractive media [16].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

2008

View full text Add to dashboard Cite

Abstract. A Hamiltonian system of incoherently coupled nonlinear Schrödinger (NLS) equations is considered in the context of physical experiments in photorefractive crystals and Bose-Einstein condensates. Due to the incoherent coupling, the Hamiltonian system has a group of various symmetries that include symmetries with respect to gauge transformations and polarization rotations. We show that the group of rotational symmetries generates a large family of vortex solutions that generalize scalar vortices, vortex pairs with either double or hidden charge, and coupled states between solitons and vortices. Novel families of vortices with different frequencies and vortices with different charges at the same component are constructed and their linearized stability problem is block-diagonalized for numerical analysis of unstable eigenvalues.

show abstract

Section: Introductionsupporting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

2008

View full text Add to dashboard Cite

show abstract

“…One of its main consequences for natural sources with OAM is the possibility of having photons with non-zero OAM inside a beam with zero total OAM. As we see in Palacios et al (2004), it is possible to have low-coherence vortex beams in which the dark core of the vortex is lost in the far field, although the vortex properties are still seen in the cross-correlation function in a plane perpendicular to the propagation direction. This could be the answer to the previous concern: if the OAM state coming from the Sun is a partially coherent superposition, the dark core will no longer exhibit such a low intensity.…”

Section: Challenges Of Measuring Astronomical Oammentioning

confidence: 97%

“…Many advances have been made in the field of partially coherent vortex beams (Agarwal 1999;Bogatyryova et al 2003;Ponomarenko 2001;Palacios et al 2004;Elias 2008). One of its main consequences for natural sources with OAM is the possibility of having photons with non-zero OAM inside a beam with zero total OAM.…”

Section: Challenges Of Measuring Astronomical Oammentioning

confidence: 99%

Detecting photons with orbital angular momentum in extended astronomical objects: application to solar observations

Uribe-Patarroyo

Alvarez-Herrero

Ariste³

et al. 2010

A&A

View full text Add to dashboard Cite

Context. The orbital angular momentum (OAM) of the photon is a property of light from astronomical objects that has not yet been measured. We propose a method of measuring the OAM spectrum of light from an extended natural source, the Sun. Relating the OAM spectrum of different solar areas to its structures could lead to a novel remote sensing technique. Aims. We present a method for measuring the OAM spectrum of solar photons. Methods. The THEMIS telescope is being used with a novel phase-diversity technique. A spatial light modulator is placed on one pupil image, and an ad-hoc optical setup allows the measurement of two simultaneous phase-diverse images in the same CCD, with equal optical paths. Results. Preliminary results show that very good seeing is mandatory for this kind of observation. The method works in the laboratory, and good seeing conditions in the 2010 campaign are being awaited.

show abstract

“…Recently, more and more researches have focused on the partially coherent vortex (PCV) beam [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] . In 2004, Palacios et al firstly verified that a robust phase singularity exists in the spatial coherence function when a vortex is presented 17 in the original beam.…”

mentioning

confidence: 99%

Measuring mode indices of a partially coherent vortex beam with Hanbury Brown and Twiss type experiment

et al. 2016

View full text Add to dashboard Cite

It is known that the cross-correlation function (CCF) of a partially coherent vortex (PCV) beam shows a robust link with the radial and azimuthal mode indices. However, the previous proposals are difficult to measure the CCF in practical system, especially in the case of astronomical objects. In this letter, we demonstrate experimentally that the Hanbury Brown and Twiss effect can be used to measure the mode indices of the original vortex beam and investigate the relationship between the spatial coherent width and the characterization of CCF of a PCV beam. The technique we exploit is quite efficient and robust, and it may be useful in the field of free space communication and astronomy which are related to the photon's orbital angular momentum.In 1992, L. Allen et al. 1 pointed out that beam with spiral phase distribution of exp(ilϕ) carries an orbital angular momentum (OAM) of l , where l is an integer which denotes the azimuthal mode index (topological charge), and ϕ is the azimuthal coordinate. Beam with this kind of phase structure is also called vortex beam. Vortex beam has been widely studied in the last two decades and found a lot of applications, such as optical tweezers 2 , spiral phase contrast microscopy 3 .Since the values of l is theoretically unlimited, OAM states construct an infinite dimensional Hilbert space, and it exhibits great potential for applications in the field of quantum information process 4,5 , free-space information transfer and communications 6-8 . Despite the extensive applications, determining the topological charge l of OAM state remains an intriguing problem, and a lot of methods has been proposed. Such as MachZehnder interferometer 9 , diffraction pattern with specific masks 10-13 , image reformatting 14 , intensity analysis 15,16 .Recently, more and more researches have focused on the partially coherent vortex (PCV) beam 17-31 . In 2004, Palacios et al. firstly verified that a robust phase singularity exists in the spatial coherence function when a vortex is presented 17 in the original beam. Meanwhile, in Refs. [21][22][23] , the authors revealed the linkage between the mode indices and the cross correlation function (CCF) of a PCV beam, and they also discussed the spatial coherence on determining the mode indices of a PCV beam.Also, there has been interest in the use of spatial modes, such beams carrying OAM, as an additional degree of freedom to increase the available information bandwidth for free-space communication. Because a large Hilbert space is helpful to improve the security of cryptographic keys transmitted with a quantum key distribution system 33 . Since the important application of free space communication, the effects of propagation through random aberrations (atmospheric turbua) Electronic mail: zhangpei@mail.ustc.edu.cn lence) on coherence for single-photon communication systems based on orbital angular momentum states are also investigated 32,34-36 . However, determining the mode indices of a PCV beam is still difficult. In Refs. 17,23 , the authors experim...

show abstract

Spatial Correlation Singularity of a Vortex Field

Abstract: Experimental and numerical techniques allowed us to predict and verify the existence of a robust phase singularity in the spatial coherence function when a vortex is present. Though observed in the optical domain, this phenomenon may occur in any partially coherent vortex wave.

Cited by 251 publications

References 14 publications

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

Detecting photons with orbital angular momentum in extended astronomical objects: application to solar observations

Measuring mode indices of a partially coherent vortex beam with Hanbury Brown and Twiss type experiment

Contact Info

Product

Resources

About