Optoheterodyne Doppler measurements of the ballistic expansion of the products of the shock wave-induced surface destruction: Experiment and theory

Andriyash, A. V.; Astashkin, M. V.; Baranov, V. K.; Golubinskii, A. G.; Irinichev, D. A.; Kondratev, A. N.; Kuratov, S E; Mazanov, V. A.; Rogozkin, D. B.; Stepushkin, S. N.; Khatunkin, V. Yu.

doi:10.1134/s1063776116050150

Cited by 15 publications

(7 citation statements)

References 26 publications

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“…As already presented in Ref. [10] in the case of a micro-spall particle cloud (particle sizes in the range of 10-100 μm and velocity gradients in the range of 300 m/s), we suggest an explanation to this observation in the case of a micro-jetting particle cloud (particle sizes in the range of 0.5-10 μm and velocity gradients in the range of 1000-2000 m/s), based on the multiple scattering of light in the ejecta. The solution is obtained using a Doppler Monte Carlo (MC) approach, taking into account the transport of polarization in the ejecta cloud.…”

Section: Introductionsupporting

confidence: 54%

“…[13] (Appendix A), we define N the total number of frequency intervals in the spectrum, and we assume that all photon paths corresponding to the same frequency (number of paths ≫1) can be merged into a single Doppler frequency component ω j , as done in Ref. [10]. Using the δ-Kronecker notation, Eq.…”

Section: B Doppler Monte Carlo Simulationsmentioning

confidence: 99%

“…For a random particle arrangement, it was shown in Ref. [10] that the probability density function of the Doppler spectrum ΦV measured by PDV, originating from the Gaussian fluctuations of the fields, follows a fully developed speckle statistics described by…”

Section: Pdv Velocity Spectrogramsmentioning

confidence: 99%

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Multiple light scattering in metallic ejecta produced under intense shockwave compression

et al. 2018

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A roughened metallic plate, subjected to intense shock wave compression, gives rise to an expanding ejecta particle cloud. Photonic Doppler velocimetry (PDV), a fiber-based heterodyne velocimeter, is often used to track ejecta velocities in dynamic compression experiments and on nanosecond time scales. Shortly after shock breakout at the metal-vacuum interface, a particular feature observed in many experiments in the velocity spectrograms is what appear to be slow-moving ejecta, below the free-surface velocity. Using Doppler Monte Carlo simulations incorporating the transport of polarization in the ejecta, we show that this feature is likely to be explained by the multiple scattering of light, rather than by possible collisions among particles, slowing down the ejecta. As the cloud expands in a vacuum, the contribution of multiple scattering decreases due to the limited field of view of the pigtailed collimator used to probe the ejecta, showing that the whole geometry of the system must be taken into account in the calculations to interpret and predict PDV measurements.

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Section: Introductionsupporting

confidence: 54%

Section: B Doppler Monte Carlo Simulationsmentioning

confidence: 99%

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Multiple light scattering in metallic ejecta produced under intense shockwave compression

et al. 2018

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“…The first order solution presented in this paper does not take into account multiply scattered photons. For the highvelocity region of the spectrum, they may contribute 17 at second order in the formation of the Doppler signal. The discrepancy between our model and experimental results observed around 2600 m/s in Fig.…”

Section: Multiple Scatteringmentioning

confidence: 99%

“…(1). Recently, Andriyash et al 17 studied the influence of the multiple scattering of light on PDV spectra, based on a two-flux solution of the Radiative Transfer Equation (RTE) in the ejecta cloud. They applied this model to analyze the properties of densely packed debris (∼30 µm size) with relatively slow velocity gradients (between 100 and 500 m/s).…”

Section: Introductionmentioning

confidence: 99%

PDV-based estimation of ejecta particles’ mass-velocity function from shock-loaded tin experiment

Franzkowiak

Prudhomme

Mercier

et al. 2018

Review of Scientific Instruments

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A metallic tin plate with a given surface finish of wavelength λ ≃ 60 μm and amplitude h ≃ 8 μm is explosively driven by an electro-detonator with a shock-induced breakout pressure PSB = 28 GPa (unsupported). The resulting dynamic fragmentation process, the so-called “micro-jetting,” is the creation of high-speed jets of matter moving faster than the bulk metallic surface. Hydrodynamic instabilities result in the fragmentation of these jets into micron-sized metallic particles constituting a self-expanding cloud of droplets, whose areal mass, velocity, and particle size distributions are unknown. Lithium-niobate-piezoelectric sensor measured areal mass and Photonic Doppler Velocimetry (PDV) was used to get a time-velocity spectrogram of the cloud. In this article, we present both experimental mass and velocity results and we relate the integrated areal mass of the cloud to the PDV power spectral density with the assumption of a power law particle size distribution. Two models of PDV spectrograms are described. The first one accounts for the speckle statistics of the spectrum and the second one describes an average spectrum for which speckle fluctuations are removed. Finally, the second model is used for a maximum likelihood estimation of the cloud’s parameters from PDV data. The estimated integrated areal mass from PDV data is found to agree well with piezoelectric results. We highlight the relevance of analyzing PDV data and correlating different diagnostics to retrieve the physical properties of ejecta particles.

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Experimental and Computational Damage and Ejecta Studies of Pb Explosively Shock Loaded to $$P_{SL} \approx 32$$ P S L ≈ 32 - to 40-GPa

Antipov

Аринин

Georgievskaya

et al. 2017

J. dynamic behavior mater.

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Optoheterodyne Doppler measurements of the ballistic expansion of the products of the shock wave-induced surface destruction: Experiment and theory

Cited by 15 publications

References 26 publications

Multiple light scattering in metallic ejecta produced under intense shockwave compression

Multiple light scattering in metallic ejecta produced under intense shockwave compression

PDV-based estimation of ejecta particles’ mass-velocity function from shock-loaded tin experiment

Experimental and Computational Damage and Ejecta Studies of Pb Explosively Shock Loaded to $$P_{SL} \approx 32$$ P S L ≈ 32 - to 40-GPa

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