• Corpus ID: 219176988

Vortex metrology using circular and elliptical Laguerre Gauss kernels.

@article{Rabal2020VortexMU,
  title={Vortex metrology using circular and elliptical Laguerre Gauss kernels.},
  author={H{\'e}ctor Rabal and Myrian C. Tebaldi and Astrid Lorena Villamizar Amado and Silvana Gallo and Nelly Cap},
  journal={arXiv: Optics},
  year={2020}
}
We propose a generalization of the Laguerre Gauss Transform to include elliptical kernels in vortices metrology. To that end, we broaden the original pseudo field obtained using Laguerre Gauss Transform (LGT) that usually includes circularly a symmetric Gaussian core to include two parameters, the widths of the Gaussian filter in two perpendicular directions, thus generating a family of slightly elliptical kernels. This permits the generation of a family of very close vortices that improves the… 

References

SHOWING 1-10 OF 13 REFERENCES
Optical vortex metrology based on the core structures of phase singularities in Laguerre-Gauss transform of a speckle pattern.
TLDR
Experimental results for translational and rotational displacement measurements are presented that demonstrate large dynamic range and high spatial resolution of the proposed optical vortex metrology.
In-plane displacement measurement in vortex metrology by synthetic network correlation fringes.
TLDR
It is shown that high-quality fringe systems can be synthesized and analyzed to accurately measure in an extended range of displacements and for highly decorrelated speckle patterns.
Poincaré sphere representation for the anisotropy of phase singularities and its applications to optical vortex metrology for fluid mechanical analysis.
TLDR
Experimental results for flow velocity and acceleration measurement are presented that demonstrate the validity of the proposed optical vortex metrology for fluid mechanics measurement.
Speckle decorrelation influence on measurements quality in vortex metrology
Abstract We study speckle decorrelation effects in connection with conventional vortex metrology techniques. Our proposal is based on processing speckled images recorded by using two different
Optical vortex metrology for nanometric speckle displacement measurement.
TLDR
Experimental results are presented that demonstrate the validity and the performance of the proposed optical vortex metrology with nano-scale resolution.
Vortex analysis in dynamic speckle images.
TLDR
This work first study translational patterns with boiling and the limitations of the optical vortex metrology, and observes that vortices exhibit a Brownian motion in pure boiling patterns.
Riesz transforms in statistical signal processing and their applications to speckle metrology: a review
TLDR
The statistical properties of the vector signal representation for random signal are presented and some applications to speckle metrology developed recently are reviewed to demonstrate the unique capability of Riesz transforms.
Satellite radar interferometry: Two-dimensional phase unwrapping
Interferometric synthetic aperture radar observations provide a means for obtaining high-resolution digital topographic maps from measurements of amplitude and phase of two complex radar images. The
Dislocations in wave trains
  • J. F. Nye, M. Berry
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1974
When an ultrasonic pulse, containing, say, ten quasi-sinusoidal oscillations, is reflected in air from a rough surface, it is observed experimentally that the scattered wave train contains
Two dimensional speckle tracking echocardiography: basic principles
TLDR
The basic principles of myocardial mechanics and strain/SR imaging which form a basis for the understanding of STE are described, which explains how speckle tracking works, its advantages to tissue Doppler imaging, and its limitations.
...
1
2
...