Simulation and mitigation of the magneto-Rayleigh-Taylor instabilities in Z-pinch gas discharge extreme ultraviolet plasma radiation sources

Huang, Bin; Tomizuka, Taku; Xie, Bai-Song; Sakai, Yusuke; Zhu, Qinghua; Song, Inho; Okino, Akitoshi; Xiao, Feng; Watanabe, M.; Hotta, Eiki

doi:10.1063/1.4835275

Cited by 8 publications

(5 citation statements)

References 33 publications

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“…Thin-foil cylindrical liner experiments on MAIZE facility clearly showed the process of bubble merging [44]. Both liner and gas-puff [45] experiments succeeded in reducing the growth of MRTI by the axial magnetic field. In some gas-puff experiments [46,47] the MRTIs was also mitigated by varying initial profile of mass density.…”

Section: Introductionmentioning

confidence: 92%

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Xiaoguang,

Xiaodong,

Shijian

et al. 2023

Nucl. Fusion

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Understanding how the magneto-Rayleigh-Taylor instability (MRTI) scales to the current rise time is vital for Z-pinch dynamic hohlraum driven inertial confinement fusion. Wang et al. discovered in prior theoretical work that the perturbation amplitude of MRTI before stagnation increases linearly with the current rise time when the implosion velocity of Z-pinch plasma is held constant. In the present work, three types of wire-array experiments with similar implosion dynamics and constant implosion velocity are performed on an 8 MA pulse power generator to investigate the scaling of MRTI to the rise time. It is successfully accomplished for the first time to obtain the similar wire-array Z-pinch implosions in which the current rise time is scaled up to three times on the generator by controlling the trigger time of its 24 modules. Both the experimental results, which includes x-ray radiation pulses and x-ray images of imploding plasmas, and the related numerical analysis have shown that the MRTI before stagnation grows linearly with the rise time, as predicted by the theoretical model.

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Section: Introductionmentioning

confidence: 92%

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Xiaoguang,

Xiaodong,

Shijian

et al. 2023

Nucl. Fusion

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“…The detailed model description of MHD equation had been presented in ref [10] and [26]. The assumption had been made that the pre-ionized plasma was uniform, and the Local Thermodynamic Equilibrium (LTE) was reached [29] at the beginning of the simulation. The ablation of the wall material during Z-pinch was neglected in the simulations.…”

Section: Model Descriptionmentioning

confidence: 99%

Influence of the Inner Diameters of Capillary on the Z‐Pinch Plasma of the Capillary Discharge Soft x‐ray Laser

Jiang

Zhao

Cui

et al. 2015

Contrib. Plasma Phys.

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In this paper, the effects of inner diameters on the Z-pinch plasma of capillary discharge soft x-ray laser were investigated with the 3.2 mm and 4.0 mm inner diameter alumina capillaries. The intensities of the laser emitted from the 3.2 mm and 4.0 mm inner diameter alumina capillaries were measured under different initial pressures. To understand the underlying physics of the experimental measurements, the Z-pinch plasma simulations had been conducted with a one-dimensional cylindrical symmetry Lagrangian magneto-hydrodynamics (MHD) code. The parametric studies of Z-pinch plasma, such as the electron temperature, the electron density and the Ne-like Ar ion density, were performed with the MHD code. With the experimental and the simulated results, the discussions had been conducted on the Z-pinch plasma of Ne-like Ar 46.9 nm laser with the 3.2 mm and 4.0 mm inner diameter alumina capillaries. The analysis had been made on the difference of the gain coefficients under the optimum pressures with both capillaries. Then, the effects of inner diameters on the optimum pressure and the pressure domain were analyzed.

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“…Lots of works have been carried out on MRT instabilities in Z-pinch community. [6,[15][16][17][23][24][25][26][27][28][29][30][31][32][33][34] In compared experiments of foil and wire-array Z-pinches on Z machine, [35] it is thought that one of possible reasons for lower stability of copper foil is a longer period for MRT developing in run-in phase compared to a wire array. The linear theoretical analysis of single mode indicates that the perturbation amplitude of MRT is only related to the implosion distance over which the accelerating plasma shell takes.…”

Section: Introductionmentioning

confidence: 99%

Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Wang¹,

Wang²,

Sun³

et al. 2022

Chinese Phys. B

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In fast Z-pinches, rise time of drive current plays an important role in development of magneto-Rayleigh-Taylor(MRT) instabilities. It is essential for applications of Z-pinch dynamic hohlraum (ZPDH), which could be used for drivinginertial confinement fusion (ICF), to understand the scaling of rise time on MRTs. Therefore, a theoretical model for nonlinear development of MRTs is developed according to the numerical analysis. It is found from the model that the implosion distance L = r 0 – r mc determines the development of MRTs, where r 0 is the initial radius and r mc is the position of the accelerating shell. The current rise time τ would affect the MRT development because of its strong coupling with the r 0. The amplitude of MRTs would increase with the rise time linearly if an implosion velocity is specified. The effects of the rise time on MRT, in addition, are studied by numerical simulation. The results are consistent with those of the theoretical model very well. Finally, the scaling of the rise time on amplitude of MRTs is obtained for a specified implosion velocity by the theoretical model and numerical simulations.

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Simulation and mitigation of the magneto-Rayleigh-Taylor instabilities in Z-pinch gas discharge extreme ultraviolet plasma radiation sources

Cited by 8 publications

References 33 publications

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Influence of the Inner Diameters of Capillary on the Z‐Pinch Plasma of the Capillary Discharge Soft x‐ray Laser

Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

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