Hydrodynamic computational modelling and simulations of collisional shock waves in gas jet targets

Stylianos Passalidis; Oliver C. Ettlinger; George S. Hicks; Nicholas P. Dover; Zulfikar Najmudin; Emmanouil P. Benis; Evaggelos Kaselouris; Nektarios A. Papadogiannis; Michael Tatarakis; Vasilis Dimitriou

doi:10.1017/hpl.2020.5

Journals >High Power Laser Science and Engineering >Volume 8 >Issue 1 >Page 010000e7 > Article

High Power Laser Science and Engineering
Vol. 8, Issue 1, 010000e7 (2020)

Hydrodynamic computational modelling and simulations of collisional shock waves in gas jet targets | Editors' Pick

Stylianos Passalidis¹, Oliver C. Ettlinger², George S. Hicks², Nicholas P. Dover³, Zulfikar Najmudin², Emmanouil P. Benis⁴, Evaggelos Kaselouris⁵, Nektarios A. Papadogiannis⁵, Michael Tatarakis⁶, and Vasilis Dimitriou^5、*

Author Affiliations

¹Institute of Plasma Physics & Lasers, Hellenic Mediterranean University, Chania 73133, Rethymno 74100, Greece

²The John Adams Institute, The Blackett Laboratory, Imperial College, London SW7 2AZ, UK

³The John Adams Institute, The Blackett Laboratory, Imperial College, London SW7 2AZ, UK

⁴Department of Physics, University of Ioannina, GR Ioannina 45110, Greece

⁵Institute of Plasma Physics & Lasers, Hellenic Mediterranean University, Chania 73133, Rethymno 74100, Greece

⁶Institute of Plasma Physics & Lasers, Hellenic Mediterranean University, Chania 73133, Rethymno 74100, Greece

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DOI: 10.1017/hpl.2020.5 Cite this Article Set citation alerts

Stylianos Passalidis, Oliver C. Ettlinger, George S. Hicks, Nicholas P. Dover, Zulfikar Najmudin, Emmanouil P. Benis, Evaggelos Kaselouris, Nektarios A. Papadogiannis, Michael Tatarakis, Vasilis Dimitriou. Hydrodynamic computational modelling and simulations of collisional shock waves in gas jet targets[J]. High Power Laser Science and Engineering, 2020, 8(1): 010000e7 Copy Citation Text

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Abstract

We study the optimization of collisionless shock acceleration of ions based on hydrodynamic modelling and simulations of collisional shock waves in gaseous targets. The models correspond to the specifications required for experiments with the $\text{CO}_{2}$ laser at the Accelerator Test Facility at Brookhaven National Laboratory and the Vulcan Petawatt system at Rutherford Appleton Laboratory. In both cases, a laser prepulse is simulated to interact with hydrogen gas jet targets. It is demonstrated that by controlling the pulse energy, the deposition position and the backing pressure, a blast wave suitable for generating nearly monoenergetic ion beams can be formed. Depending on the energy absorbed and the deposition position, an optimal temporal window can be determined for the acceleration considering both the necessary overdense state of plasma and the required short scale lengths for monoenergetic ion beam production.

Keywords

hydrodynamic simulations ion acceleration laser–plasma interaction

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$$\begin{eqnarray}K=\frac{v_{\text{ei}}}{c}\left(\frac{n_{e}}{n_{c}}\right)\left(1-\frac{n_{e}}{n_{c}}\right)^{-1/2},\end{eqnarray}$$

(2)

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$$\begin{eqnarray}\unicode[STIX]{x1D702}\approx 1-\exp (-KZ_{R}),\end{eqnarray}$$

(3)

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$$\begin{eqnarray}T_{e}(t)[\text{eV}]=\frac{1}{2n_{e}Z_{R}e}\int _{0}^{t}I_{L}\{1-\exp [-K(t)Z_{R}]\}\,\text{d}t.\end{eqnarray}$$

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$$\begin{eqnarray}r_{\text{bw}}(t)=\unicode[STIX]{x1D701}_{0}(\unicode[STIX]{x1D6FE})\left(\frac{E_{\text{abs}}}{\unicode[STIX]{x1D70C}}\right)^{1/(2+\unicode[STIX]{x1D6FC})}t^{2/(2+\unicode[STIX]{x1D6FC})},\end{eqnarray}$$

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$$\begin{eqnarray}u_{\text{sh}}=\frac{\text{d}r(t)}{\text{d}t}=\frac{2}{2+a}\unicode[STIX]{x1D701}_{0}(\unicode[STIX]{x1D6FE})\left(\frac{E_{\text{abs}}}{\unicode[STIX]{x1D70C}}\right)^{1/(2+a)}t^{2/(2+a)-1}.\end{eqnarray}$$

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$$\begin{eqnarray}u_{\text{sh}}=\frac{2}{2+a}[\unicode[STIX]{x1D701}_{0}(\unicode[STIX]{x1D6FE})]^{(2+a)/2}\left(\frac{E_{\text{abs}}}{\unicode[STIX]{x1D70C}}\right)^{1/2}r^{-a/2}.\end{eqnarray}$$

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$$\begin{eqnarray}\displaystyle \begin{array}{@{}l@{}}\displaystyle \frac{\unicode[STIX]{x2202}\unicode[STIX]{x1D70C}}{\unicode[STIX]{x2202}t}+\overset{\rightharpoonup }{\unicode[STIX]{x1D6FB}}\cdot \left(\unicode[STIX]{x1D70C}\overset{\rightharpoonup }{v}\right)=0,\\[5.0pt] \displaystyle \frac{\unicode[STIX]{x2202}\unicode[STIX]{x1D70C}\overset{\rightharpoonup }{v}}{\unicode[STIX]{x2202}t}+\overset{\rightharpoonup }{\unicode[STIX]{x1D6FB}}\cdot \left(\unicode[STIX]{x1D70C}\overset{\rightharpoonup }{v}\overset{\rightharpoonup }{v}\right)+\overset{\rightharpoonup }{\unicode[STIX]{x1D6FB}}P=\unicode[STIX]{x1D70C}\overset{\rightharpoonup }{g},\\[5.0pt] \displaystyle \frac{\unicode[STIX]{x2202}\unicode[STIX]{x1D70C}E}{\unicode[STIX]{x2202}t}+\overset{\rightharpoonup }{\unicode[STIX]{x1D6FB}}\cdot [(\unicode[STIX]{x1D70C}E+P)\overset{\rightharpoonup }{v}]+\overset{\rightharpoonup }{\unicode[STIX]{x1D6FB}}P=\unicode[STIX]{x1D70C}\overset{\rightharpoonup }{v}\cdot \overset{\rightharpoonup }{g},\end{array} & & \displaystyle\end{eqnarray}$$

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