Characterization of ejecta in shock experiments with multiple light scattering
Abstract: Upon impact, the free surface of a solid metal may eject a cloud of fast and fine particles. Photon Doppler Velocimetry (PDV) is one of the optical diagnostics used to characterize these ejecta. Although the technique provides a direct way to estimate the particle velocities in the single scattering regime, it has been shown that multiple scattering cannot be neglected in real ejecta. Here we derive a model for PDV measurements starting from first principles of wave scattering. We establish rigorously the relationship between the specific intensity and the measured signal, as well as the radiative transport equation (RTE) that describes the evolution of the specific intensity upon scattering and absorption in a dynamic ejecta, including the effects of inelastic scattering and inhomogenities in the optical properties. We also establish rigorously the connection between the Monte-Carlo scheme used for numerical simulations and the solution to the RTE. Using numerical simulations, we demonstrate the crucial role of multiple scattering and inhomogeneities in the particle density and size-velocity distribution. These results could substantially impact the analysis of ejecta by PDV.
- O. Durand and L. Soulard, J. Appl. Phys. 111, 044901 (2012).
- O. Durand and L. Soulard, J. Appl. Phys. 114, 194902 (2013).
- O. Durand and L. Soulard, J. Appl. Phys. 117, 165903 (2015).
- S. Chandrasekhar, Radiative Transfer (Dover, New York, 1950).
- L. A. Apresyan and Y. A. Kravtsov, Radiation Transfer: Statistical and Wave Aspects (Gordon and Breach Publishers, Amsterdam, 1996).
- R. Carminati and J. C. Schotland, Principles of Scattering and Transport of Light (Cambridge University Press, 2021).
- F. Harris, IEE Proc. 66, 51 (1978).
- J. D. Briers, J. Opt. Soc. Am. A 13 (1996).
- Y. N. Barabanenkov, Sov. Phys. JETP 29, 679 (1969).
- L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (University Press, Cambridge, 1995).
- R. Pierrat, J. Opt. Soc. Am. A 25 (2008).
- P. Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Springer, Berlin, 2006).
- F. Dyson, Phys. Rev. 75, 486 (1949a).
- F. Dyson, Phys. Rev. 75, 1736 (1949b).
- Y. N. Barabanenkov and V. M. Finkel’berg, Sov. Phys. JETP 26, 587 (1968).
- R. Siegel and J. R. Howell, Thermal radiation heat transfer, 3rd ed. (Hemisphere, Taylor and Francis, 1992).
- G. Mie, Ann. Phys. Leipzig 25, 377 (1908).
- C. F. Bohren and D. R. Huffman, Absorption and scattering of light by small particles (Wiley, New York, 1983).
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