“…The determination of this z-coordinate is thus reduced to the determination of the ellipticity of the defocused interferometric image. For droplets in air or bubbles in water, the z-position of the particle can be further coupled to a rotation of the orientation of interference fringes to enhance the accuracy [27,28]. This is not possible with rough particles such as sand, whose interferometric images are complex speckle patterns.…”
Section: Methods To Estimate the Longitudinal Particle's Coordinatesmentioning
confidence: 99%
“…Another possibility is to use a cylindrical defocused imaging system. The longitudinal position of the particle is then linked to the ellipticity of the defocused image of the particle [27][28][29], and specific algorithms can be developed to determine the ellipticity of the defocused images [34]. This last solution based on a cylindrical imaging configuration is tested in the present work.…”
Section: Experimental Set-upmentioning
confidence: 99%
“…IPI delivers 2D images. To perform a 3D-tracking of particles and to obtain in particular their longitudinal position, a solution is to build a cylindrical imaging system [27][28][29][30][31][32]. It still works in a defocused configuration.…”
We report the 3D-tracking of irregular sand particles in a wave flume using a cylindrical interferometric particle imaging set-up. The longitudinal position of each particle is deduced from the ellipticity of its speckle-like interferometric image. The size of a particle is determined from the analysis of the 2D Fourier transform of its defocused image. It is further possible to identify some rotation of the particles. Simulations accurately confirm the experimental determination of the different parameters (3D position and size of each particle).
“…The determination of this z-coordinate is thus reduced to the determination of the ellipticity of the defocused interferometric image. For droplets in air or bubbles in water, the z-position of the particle can be further coupled to a rotation of the orientation of interference fringes to enhance the accuracy [27,28]. This is not possible with rough particles such as sand, whose interferometric images are complex speckle patterns.…”
Section: Methods To Estimate the Longitudinal Particle's Coordinatesmentioning
confidence: 99%
“…Another possibility is to use a cylindrical defocused imaging system. The longitudinal position of the particle is then linked to the ellipticity of the defocused image of the particle [27][28][29], and specific algorithms can be developed to determine the ellipticity of the defocused images [34]. This last solution based on a cylindrical imaging configuration is tested in the present work.…”
Section: Experimental Set-upmentioning
confidence: 99%
“…IPI delivers 2D images. To perform a 3D-tracking of particles and to obtain in particular their longitudinal position, a solution is to build a cylindrical imaging system [27][28][29][30][31][32]. It still works in a defocused configuration.…”
We report the 3D-tracking of irregular sand particles in a wave flume using a cylindrical interferometric particle imaging set-up. The longitudinal position of each particle is deduced from the ellipticity of its speckle-like interferometric image. The size of a particle is determined from the analysis of the 2D Fourier transform of its defocused image. It is further possible to identify some rotation of the particles. Simulations accurately confirm the experimental determination of the different parameters (3D position and size of each particle).
“…Their coefficients depend on the coefficients of optical transfer matrices describing the optical elements encountered between the particle and the sensor. The procedure has been detailed in references [7,16] in the case of droplets represented by a pair of Dirac emitters and has been validated in all cases that could be tested experimentally [7,17,18]. For a unique Dirac emitter, we obtain the following expression of the electric field in the plane of the CCD sensor [7]:…”
Section: Simulation Of Speckle-like Interferometric Out-of-focus Pattmentioning
confidence: 99%
“…2 ( 2 + 3 ) is the optical path between the plane of the aperture and the plane of the CCD sensor. In ILIDS, it has been shown that a droplet can be well represented by two emitters [7,16]. Let us now consider the case of a multiemitter composed of gp Dirac emitters randomly located on a half sphere, as shown in Figure 3(a).…”
Section: Simulation Of Speckle-like Interferometric Out-of-focus Pattmentioning
We present a mathematical formalism to predict speckle-like interferometric out-of-focus patterns created by irregular scattering objects. We describe the objects by an ensemble of Dirac emitters. We show that it is not necessary to describe rigorously the scattering properties of an elliptical irregular object to predict some physical properties of the interferometric out-of-focus pattern. The fit of the central peak of the 2D autocorrelation of the pattern allows the prediction of the size of the scattering element. The method can be applied to particles in a size range from a tenth of micrometers to the millimeter.
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