Optical Vortex Metrology

Wang, Wei; Hanson, Steen Grüner; Takeda, Mitsuo

doi:10.1002/9783527633852.ch5

Cited by 4 publications

(6 citation statements)

References 26 publications

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“…Afterwards, the conventional procedure based on the zero-crossing analysis for the real and the imaginary components of the analytical signal introduced by Wang et al [8][9][10][11] is employed. Afterwards, the conventional procedure based on the zero-crossing analysis for the real and the imaginary components of the analytical signal introduced by Wang et al [8][9][10][11] is employed.…”

Section: A Setups For Recording and Calibration Proceduresmentioning

confidence: 99%

“…Once the vortex networks among speckle fields are characterized, they can be tracked after a displacement or deformation, providing the basis for developing different methods for highly accurate measurements in vortex metrology [8][9][10][11]. In the surroundings of these points, the phase changes by an entire multiple of 2π at a plane section, given that the geometry of the wavefront surface corresponds to a helix where by definition the phase is constant.…”

Section: Introductionmentioning

confidence: 99%

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Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes

et al. 2012

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In this work, we introduce an alternative method of analysis in vortex metrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortex metrology for uniform in-plane displacement determination. On the basis of two recorded intensity speckled distributions, corresponding to two states of a diffuser coherently illuminated, we numerically generate an analytical signal from each recorded intensity pattern by using a version of the Riesz integral transform. Then, from each analytical signal, a two-dimensional pseudophase map is generated in which the vortices are located and characterized in terms of their topological charges and their core's structural properties. The second part of the procedure allows obtaining Young's interference fringes when Fourier transforming the light passing through a diffracting mask with multiple apertures at the locations of the homologous vortices. In fact, we use the Fourier transform as a mathematical operation to compute the far-field diffraction intensity pattern corresponding to the multiaperture set. Each aperture from the set is associated with a rectangular hole that coincides both in shape and size with a pixel from recorded images. We show that the fringe analysis can be conducted as in speckle photography in an extended range of displacement measurements. Effects related with speckled decorrelation are also considered. Our experimental results agree with those of speckle photography in the range in which both techniques are applicable.

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Section: A Setups For Recording and Calibration Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes

et al. 2012

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“…The laser beams with orbital angular momentum have been intensively studied in last decades. They have found applications in superresolution STED microscopy [1], optical tweezers [2,3] astronomy [4] and metrology [5][6][7]. They are promising tool in telecommunication both classical and quantum [8].…”

Section: Introductionmentioning

confidence: 99%

Stability of the four vortices arrangement in the context of laser beam positioning

Masajada

Popiołek-Masajada

Frączek³

et al. 2022

22nd Polish-Slovak-Czech Optical Conference on Wave and Quantum Aspects of Contemporary Optics

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Remote positioning by precise measurements of lateral displacements of laser beams at large distances is inevitably disturbed by the influence of atmospheric turbulences. We test numerically the use of various arrangements of four single optical vortices for this purpose. Our previous work shows that using the single or higher order vortex beam (topological charge 4) gives better results than vortex free laser beam. We consider arrangement of four separated vortices with different topological sign and show that some configuration leads to comparable results, but there are small differences which are discussed in this paper.

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“…The Riesz and Laguerre-Gauss transforms are the isotropic counterparts of the Hilbert transform; these alternatives use a spiral pure phase plate function as filter, and for this reason any section crossing the filter's origin can be associated with a signum function with a π phase gap. The advantage of Laguerre-Gauss transform over Riesz transform relies on the inclusion of a band-pass filter which eliminates any DC component of the pattern and attenuate high frequency components that lead to unstable phase singularities [11][12][13][14]. But any of these transforms are not suitable to synthesize modulated patterns.…”

Section: Introductionmentioning

confidence: 99%

Novel vortex-transform for high frequency modulated patterns

Sierra-Sosa¹,

Ángel-Toro²,

Bolognini³

et al. 2013

Opt. Express

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A novel vortex-transform is proposed. This transform allows for generating complex-valued functions from modulated intensity patterns, including high frequency components from modulation, without the generation of unstable phase singularities. From these complex-valued functions it is possible to obtain intensity and pseudo-phase maps to analyze the intensity recordings without the necessity of phase retrieval techniques. The intensity and pseudo-phase maps obtained by using this transform preserve the modulation structure onto the intensity and phase modulo 2π maps, including stable phase singularities.

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Optical Vortex Metrology

Cited by 4 publications

References 26 publications

Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes

Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes

Stability of the four vortices arrangement in the context of laser beam positioning

Novel vortex-transform for high frequency modulated patterns

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