Special issue on singular optics

Desyatnikov, Anton S.; Fadeyeva, Tatyana A.; Dennis, Mark R.

doi:10.1088/2040-8978/15/4/040201

Cited by 11 publications

(5 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In free space, Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modal laser beams are two fundamental classes of structured light forming orthonormal bases in which any field can be represented. In particular, the LG family of eigenstates of orbital angular momentum (OAM) [2] found numerous applications in singular optics [3][4][5], optical micromanipulation [6], free-space data transfer [7], and quantum informatics [8].Experimental methods to generate higher-order modal beams, such as twisted LG modes, are based on specially designed refractive and reflective optical elements, the mode converters. These include holographic diffraction gratings [9,10], spiral phase plates [11], biaxial and uniaxial crystals [12,13], and electro-optical spatial light modulators.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Self-Induced Mode Transformation in Nonlocal Nonlinear Media

2013

View full text Add to dashboard Cite

We report on the first experimental observation of self-induced optical mode transformations in nonlocal nonlinear media. We show that the quadrupole Hermite-Gaussian mode experiences complex nonlinear dynamics in a nematic liquid crystal, including power-dependent conversion into a radially symmetric Laguerre-Gaussian mode. The physical mechanism responsible for self-induced transformation is the excitation of internal modes of a metastable quadrupole nonlocal soliton and its subsequent transmutation into a robust soliton with a bright peak surrounded by a bright ring. We also observe the onset of transformations of higher-order modes, proving the generic character of this nonlinear phenomenon.

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

Self-Induced Mode Transformation in Nonlocal Nonlinear Media

2013

View full text Add to dashboard Cite

show abstract

“…These lines involve two essential properties: on these lines the phase is singular (undetermined) and around these lines the phase changes by a multiple (typically ±1) of 2π. Even though the concept of the line of singularity has been extensively discussed in the literature (see, for example, the collection of papers in the special issues mentioned in References [79][80][81][82]), its connection with the Dirac strings is not usually commented on. In his review on singularities in waves [77], Berry has claimed: "He [Dirac] recognises that Ψ 0 [appearing in Equation ( 68)] can have nodal lines around which the phase χ 0 in the absence of magnetic field changes by 2nπ, i.e.…”

Section: A Final Comment On Nodal Linesmentioning

confidence: 99%

Dirac quantisation condition: a comprehensive review

Heras

2018

Contemporary Physics

View full text Add to dashboard Cite

In most introductory courses on electrodynamics, one is taught the electric charge is quantised but no theoretical explanation related to this law of nature is offered. Such an explanation is postponed to graduate courses on electrodynamics, quantum mechanics and quantum field theory, where the famous Dirac quantisation condition is introduced, which states that a single magnetic monopole in the Universe would explain the electric charge quantisation. Even when this condition assumes the existence of a not-yet-detected magnetic monopole, it provides the most accepted explanation for the observed quantisation of the electric charge. However, the usual derivation of the Dirac quantisation condition involves the subtle concept of an "unobservable" semi-infinite magnetised line, the so-called "Dirac string," which may be difficult to grasp in a first view of the subject. The purpose of this review is to survey the concepts underlying the Dirac quantisation condition, in a way that may be accessible to advanced undergraduate and graduate students. Some of the discussed concepts are gauge invariance, singular potentials, single-valuedness of the wave function, undetectability of the Dirac string and quantisation of the electromagnetic angular momentum. Five quantum-mechanical and three semi-classical derivations of the Dirac quantisation condition are reviewed. In addition, a simple derivation of this condition involving heuristic and formal arguments is presented.

show abstract

“…Light beams containing phase or polarization singularities have enabled potential applications in spectroscopy, nanoscale manipulation and quantum information [1][2][3]. Laguerre-Gauss beams and Bessel beams are the most traditional light structures exploited in these topics.…”

Section: Introductionmentioning

confidence: 99%

Shaping Bessel beams with a generalized differential operator approach

Lopez-Mago

Gutiérrez-Vega

2016

J. Opt.

View full text Add to dashboard Cite

We apply a differential creation operator to an integer order Bessel beam in order to generate novel nondiffracting structures. The resulting phase structure and orbital angular momentum are discussed in detail. We find the parameters that preserve the orbital angular momentum of the seed beam and show how to produce and control shape preserving vortex arrays. In analogy to the Poincaré sphere, our approach is used to develop an operator sphere connecting higher-order Bessel beams.

show abstract

Special issue on singular optics

Abstract: The full text of this article is available in the PDF provided.

Cited by 11 publications

References 46 publications

Self-Induced Mode Transformation in Nonlocal Nonlinear Media

Self-Induced Mode Transformation in Nonlocal Nonlinear Media

Dirac quantisation condition: a comprehensive review

Shaping Bessel beams with a generalized differential operator approach

Contact Info

Product

Resources

About