Shock dynamics and shock collision in foam layered targets

K. Batani; A. Aliverdiev; R. Benocci; R. Dezulian; A. Amirova; E. Krousky; M. Pfeifer; J. Skala; R. Dudzak; W. Nazarov; D. Batani

doi:10.1017/hpl.2021.33

Journals >High Power Laser Science and Engineering >Volume 9 >Issue 3 >Page 03000e47 > Article

High Power Laser Science and Engineering
Vol. 9, Issue 3, 03000e47 (2021)

Shock dynamics and shock collision in foam layered targets

K. Batani^1、*, A. Aliverdiev^2、3, R. Benocci⁴, R. Dezulian⁵, A. Amirova⁶, E. Krousky^7、8, M. Pfeifer^7、8, J. Skala⁷, R. Dudzak^7、8, W. Nazarov⁹, and D. Batani^10、11

Author Affiliations

¹IPPLM, Warsaw, Poland

²IGRRE JIHT RAS, Makhachkala, Russia

³Dagestan State University, Makhachkala, Russia

⁴Università di Milano Bicocca, Milan, Italy

⁵Liceo Scientifico ‘Galileo Galilei’, Trento, Italy

⁶IP DFRC RAS, Makhachkala, Russia

⁷Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic

⁸Institute of Plasma Physics, Czech Academy of Sciences, Prague, Czech Republic

⁹Independent Foam Target Supplier, St Andrews, UK

¹⁰University Bordeaux, CEA, CNRS, Talence, France

¹¹Plasma Physics Department, National Research Nuclear University MEPhI, Moscow, Russia

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DOI: 10.1017/hpl.2021.33 Cite this Article Set citation alerts

K. Batani, A. Aliverdiev, R. Benocci, R. Dezulian, A. Amirova, E. Krousky, M. Pfeifer, J. Skala, R. Dudzak, W. Nazarov, D. Batani. Shock dynamics and shock collision in foam layered targets[J]. High Power Laser Science and Engineering, 2021, 9(3): 03000e47 Copy Citation Text

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Abstract

We present an experimental study of the dynamics of shocks generated by the interaction of a double-spot laser in different kinds of targets: simple aluminum foils and foam–aluminum layered targets. The experiment was performed using the Prague PALS iodine laser working at 0.44 μm wavelength and irradiance of a few 10¹⁵ W/cm². Shock breakouts for pure Al and for foam-Al targets have been recorded using time-resolved self-emission diagnostics. Experimental results have been compared with numerical simulations. The shocks originating from two spots move forward and expand radially in the targets, finally colliding in the intermediate region and producing a very strong increase in pressure. This is particularly clear for the case of foam layered targets, where we also observed a delay of shock breakout and a spatial redistribution of the pressure. The influence of the foam layer doped with high-Z (Au) nanoparticles on the shock dynamics was also studied.

Keywords

foam hydrodynamics simulations self-emission diagnostics shock chronometry shock collision

$$ \begin{align} P=\frac{\gamma +1}{2}\;\rho {u}^2,\kern2.04em D=\sqrt{\frac{\gamma +1}{2}\kern0.24em \frac{P}{\rho }}, \end{align} $$

((1))

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$$\begin{align}{P}_{\mathrm{Al}}=\frac{4{\rho}_{\mathrm{Al}}\left({\gamma}_{\mathrm{Al}}+1\right){P}_{\mathrm{Al}}}{{\left(\sqrt{\gamma_{\mathrm{Al}}+1}\;\sqrt{\rho_{\mathrm{Al}}}+\sqrt{\gamma_{\mathrm{foam}}+1}\;\sqrt{\rho_{\mathrm{foam}}}\right)}^2}.\end{align}$$

((2))

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$$\begin{align}{P}_{\mathrm{abl}}=8.6\;{\left(\frac{I}{10\;\lambda}\right)}^{2/3}{\left(\frac{A}{2Z}\right)}^{1/3},\end{align}$$

((3))

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$$\begin{align}M=\frac{P_{\mathrm{Al}}}{P_{\mathrm{abl}}}=\frac{4{\rho}_{\mathrm{Al}}}{{\left(\;\sqrt{\rho_{\mathrm{Al}}}+\sqrt{\rho_{\mathrm{foam}}}\right)}^2}.\end{align}$$

((4))

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$$\begin{align}{t}_{\mathrm{Al}}=\frac{d_{\mathrm{Al}}}{D_{\mathrm{Al}}},\kern2.16em {D}_{\mathrm{Al}}=\sqrt{\frac{\gamma +1}{2}\kern0.24em \frac{P_{\mathrm{Al}}}{\rho_{\mathrm{Al}}}}.\end{align}$$

((5))

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$$\begin{align}\kern-6pt t={t}_{\mathrm{foam}}+t^{\prime}_{\mathrm{Al}}=\frac{d_{\mathrm{foam}}}{D_{\mathrm{foam}}}+\frac{d_{\mathrm{Al}}}{D^{\prime}_{\mathrm{Al}}},\kern0.8em {D}_{\mathrm{foam}}=\sqrt{\frac{\gamma +1}{2}\kern0.24em \frac{P_{\mathrm{abl}}}{\rho_{\mathrm{foam}}}}.\end{align}$$

((6))