Emission mechanism for the silicon He-α lines in a photoionization experiment

Bo Han; Feilu Wang; David Salzmann; Jiayong Zhong; Gang Zhao

doi:10.1017/hpl.2020.49

Journals >High Power Laser Science and Engineering >Volume 9 >Issue 1 >Page 010000e9 > Article

High Power Laser Science and Engineering
Vol. 9, Issue 1, 010000e9 (2021)

Emission mechanism for the silicon He-α lines in a photoionization experiment

Bo Han^1、2, Feilu Wang^{3、4、5、*}, David Salzmann³, Jiayong Zhong^1、6, and Gang Zhao^3、4

Author Affiliations

¹Department of Astronomy, Beijing Normal University, Beijing100875, China

²College of Physics and Electronic Engineering, Qilu Normal University, Jinan250200, China

³CAS Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing100101, China

⁴School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing101408, China

⁵Graduate School of China Academy of Engineering Physics, Beijing100196, China

⁶Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai200240, China

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DOI: 10.1017/hpl.2020.49 Cite this Article Set citation alerts

Bo Han, Feilu Wang, David Salzmann, Jiayong Zhong, Gang Zhao. Emission mechanism for the silicon He-α lines in a photoionization experiment[J]. High Power Laser Science and Engineering, 2021, 9(1): 010000e9 Copy Citation Text

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Abstract

In this paper, we present a reanalysis of the silicon He-$\mathrm{\alpha}$ X-ray spectrum emission in Fujioka et al.’s 2009 photoionization experiment. The computations were performed with our radiative-collisional code, RCF. The central ingredients of our computations are accurate atomic data, inclusion of satellite lines from doubly excited states and accounting for the reabsorption of the emitted photons on their way to the spectrometer. With all these elements included, the simulated spectrum turns out to be in good agreement with the experimental spectrum.

Keywords

high-energy-density physics laboratory astrophysics laser–plasma interaction

$$\begin{align}\frac{{\rm d}N_{i,j}}{{\rm d}t}&=\sum \limits_p\sum \limits_{m=i,i\pm 1}\sum \limits_n{N}_{m,n}{R}_{m,n\to i,j}^p\nonumber\\&\quad-{N}_{i,j}\sum \limits_d\sum \limits_{m=i,i\pm 1}\sum \limits_n{R}_{i,j\to m,n}^d\nonumber\\&=0,\end{align}$$

((1))

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$$\begin{align}{\mathcal{P}}_p=\frac{\sum \limits_{m=i,i\pm 1}\sum \limits_n{N}_{m,n}{R}_{m,n\to i,j}^p}{\sum \limits_q\sum \limits_{m=i,i\pm 1}\sum \limits_n{N}_{m,n}{R}_{m,n\to i,j}^q},\end{align}$$

((2))

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$$\begin{align}{\mathcal{D}}_d=\frac{\sum \limits_{m=i,i\pm 1}\sum \limits_n{R}_{i,j\to m,n}^d}{\sum \limits_q\sum \limits_{m=i,i\pm 1}\sum \limits_n{R}_{i,j\to m,n}^q}.\end{align}$$

((3))

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$$\begin{align}G(t)=\exp \left[-\frac{{\left(t-{t}_0\right)}^2}{2{\sigma}^2}\right],\end{align}$$

((4))

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$$\begin{align}&{N}_{i,j}\left(t+\Delta t\right)={N}_{i,j}(t)+\Delta {N}_{i,j}(t)\nonumber\\&\quad{}={N}_{i,j}(t)+\Delta t\cdot \Big[\sum \limits_p\sum \limits_{m=i,i\pm 1}\sum \limits_n{N}_{m,n}(t){R}_{m,n\to i,j}^p(t)\nonumber\\&\qquad-{N}_{i,j}(t)\sum \limits_d\sum \limits_{m=i,i\pm 1}\sum \limits_n{R}_{i,j\to m,n}^d(t)\Big],\end{align}$$

((5))