A direct comparison of high-speed methods for the numerical Abel transform

Hickstein, Daniel D.; Gibson, S. T.; Yurchak, Roman; Das, Dhrubajyoti D.; Ryazanov, Mikhail

doi:10.1063/1.5092635

Cited by 110 publications

(67 citation statements)

References 33 publications

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“…However, the absorption image corresponds to a two-dimensional projection of the cloud, and we would like to work with the three-dimensional distribution. A procedure that has been successfully used in the past to overcome this difficulty [ 5 , 6 ] consists in employing the inverse Abel transform [ 30 ], which reconstructs the three-dimensional distribution

from its two-dimensional projection

according to

…”

Section: Resultsmentioning

confidence: 99%

Entropy of a Turbulent Bose-Einstein Condensate

Madeira

García-Orozco

Santos

et al. 2020

Entropy

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Quantum turbulence deals with the phenomenon of turbulence in quantum fluids, such as superfluid helium and trapped Bose-Einstein condensates (BECs). Although much progress has been made in understanding quantum turbulence, several fundamental questions remain to be answered. In this work, we investigated the entropy of a trapped BEC in several regimes, including equilibrium, small excitations, the onset of turbulence, and a turbulent state. We considered the time evolution when the system is perturbed and let to evolve after the external excitation is turned off. We derived an expression for the entropy consistent with the accessible experimental data, which is, using the assumption that the momentum distribution is well-known. We related the excitation amplitude to different stages of the perturbed system, and we found distinct features of the entropy in each of them. In particular, we observed a sudden increase in the entropy following the establishment of a particle cascade. We argue that entropy and related quantities can be used to investigate and characterize quantum turbulence.

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from its two-dimensional projection

according to

…”

Section: Resultsmentioning

confidence: 99%

Entropy of a Turbulent Bose-Einstein Condensate

Madeira

García-Orozco

Santos

et al. 2020

Entropy

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“…The velocity-map image is centred and then circularised by an angular-dependent radial scaling determined by comparing adjacent radial slice intensity profiles 47 . An inverse Abel transformation of the VMI, based on the algorithm of Hansen and Law 48,49 , returns a slice image of the D electron source distribution.…”

Section: Methodsmentioning

confidence: 99%

The dicarbon bonding puzzle viewed with photoelectron imaging

et al. 2019

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Bonding in the ground state of C is still a matter of controversy, as reasonable arguments may be made for a dicarbon bond order of , , or . Here we report on photoelectron spectra of the C anion, measured at a range of wavelengths using a high-resolution photoelectron imaging spectrometer, which reveal both the ground and first-excited electronic states. These measurements yield electron angular anisotropies that identify the character of two orbitals: the diffuse detachment orbital of the anion and the highest occupied molecular orbital of the neutral. This work indicates that electron detachment occurs from predominantly -like () and -like () orbitals, respectively, which is inconsistent with the predictions required for the high bond-order models of strongly -mixed orbitals. This result suggests that the dominant contribution to the dicarbon bonding involves a double-bonded configuration, with 2 bonds and no accompanying bond.

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“…Due to the extremely high frame rate used in this study, the number of files is in the thousands, and so an efficient algorithm is advantageous. A thorough investigation of the different transform algorithms is already available [19], both for sensitivity and speed, and it was found that the iterative Hansen Law method provides optimal results. [20]…”

Section: Calculation Of the Particle Trajectoriesmentioning

confidence: 99%

Capturing the Influence of Jet Fluctuations on Particles in Plasma Spraying

Bobzin

Heinemann

O’Brien

2021

Thermal Spray 2021: Proceedings From the International Thermal Spray Conference

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Instabilities and fluctuations of the plasma jet can have a significant influence on the particle in-flight temperatures and velocities, thus affecting the properties of plasma sprayed coatings. Presented in this paper is a novel method for capturing the effects particles are exposed to in the plasma spraying process. High-speed camera images of a plasma jet generated by a cascaded three cathode plasma generator (TriplexPro-210) are recorded for varying operating conditions. The images are processed using the inverse Abel transform. This transformation accounts for the fact that the images represent a 2-D projection and generates correct intensity values of the plasma jet images. These images are then combined with particle tracks resulting from CFD simulations of the plasma jet to match the particles path with the recorded plasma jet. This new method allows a precise description of the plasma intensity experienced by individual particles with a high temporal resolution. The results show a high sensitivity of the method, it can even detect the influence of the plasma jet originating from the cascaded triple arc plasma generator, which is considered as rather stable, on the particles.

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A direct comparison of high-speed methods for the numerical Abel transform

Cited by 110 publications

References 33 publications

Entropy of a Turbulent Bose-Einstein Condensate

Entropy of a Turbulent Bose-Einstein Condensate

The dicarbon bonding puzzle viewed with photoelectron imaging

Capturing the Influence of Jet Fluctuations on Particles in Plasma Spraying

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