Orbital angular momentum of optical vortices from power measurements and the cross-correlation function

Perez-García, Benjamin; Lopez-Mago, Dorilian; Garcia-Gracia, Hipolito; Garza-Alanis, Jorge A.; Hernández-Aranda, Raúl I.; Gutiérrez-Vega, Julio C.

doi:10.1364/ol.39.001929

Cited by 5 publications

(1 citation statement)

References 14 publications

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“…The significance of vortex beams has led to a variety of techniques to measure their phase profile. Representative examples include interference with a planewave [16] or a mirror image copy [17], a rotational symmetry analysis [18], multipoint interferometry [19], diffraction from an annular [20] or triangular aperture [21], an angular to linear momentum mapping [22], a full modal decomposition [23], an off-axis superposition of vector modes [24], and a Stokes parameters based method [25], among others.…”

Section: Introductionmentioning

confidence: 99%

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Ruelas

López-Aguayo

Gutiérrez-Vega

2018

J. Opt.

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We present an unexplored non-interferometric approach for wavefront measurement of vortex beams based on the transport of intensity equation (TIE). By exploiting the symmetries of vortexes we are able to simplify the TIE to a reduced expression not reported before in the context of phase imaging. This reduced model can be solved to measure the phase profile of vortexes via one-dimensional operations only without the complexities pertaining the regular TIE. We also use the axial symmetry exhibited by the intensity profile of vortexes to build a noise filtering scheme exclusive to circularly symmetric images and thus address electronic noise in digital imaging systems. We present a series of numerical experiments both to clarify how to apply our proposal step by step and to prove its overall functionality.

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Section: Introductionmentioning

confidence: 99%

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Ruelas

López-Aguayo

Gutiérrez-Vega

2018

J. Opt.

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Energy circulations in singular beams diffracted through an isosceles right triangular aperture

Bahl

Senthilkumaran

2015

Phys. Rev. A

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Propagation of structured light beams after multiple reflections in a spiral phase plate

Rumala

2015

Opt. Eng

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Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/25/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspxAbstract. This work presents propagation dynamics of structured light (complex light) containing optical vortices after it has undergone multiple reflections in a spiral phase plate (SPP) device having a nonzero surface reflection. In the calculations, the thick-plate approximation is assumed as it is expected to give a more accurate representation of the standard geometry of an SPP device from a low-surface reflection to a high-surface reflection. Calculations showing the propagation of counter-rotating optical vortices are presented, and the effect of the statistical nature of photons on the observation of the angular intensity modulation of the beam is discussed. Rumala: Propagation of structured light beams after multiple reflections in a spiral phase plate Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/25/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 111306-8 November 2015 • Vol. 54(11) Rumala: Propagation of structured light beams after multiple reflections in a spiral phase plate Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/25/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

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Orbital angular momentum of optical vortices from power measurements and the cross-correlation function

Cited by 5 publications

References 14 publications

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

Energy circulations in singular beams diffracted through an isosceles right triangular aperture

Propagation of structured light beams after multiple reflections in a spiral phase plate

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