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Spatial distribution of self-seeded air lasers induced by the femtosecond laser filament plasma 飞秒激光灯丝等离子体诱导的自播空气激光器的空间分布
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000783
Tao Zeng, Nan Li, Yuliang Yi
The femtosecond laser filament-induced air laser plays a significant role for the remote sensing of air pollutants. The spatial distributions of air laser intensity were investigated experimentally in previous studies. However, the mechanism of the air laser propagation properties inside the filament plasma has not been quite clear yet. Moreover, few studies have been dedicated to the reproduction of the air laser profile from nitrogen molecules propagating in the filament plasma based on the numerical simulation method. In this study, the lasing action of the air laser from the transition of the first negative (0,0) band of nitrogen ions at 391 nm was simulated during the femtosecond laser filamentation. The beam profile of the air laser changes from a Gaussian or super-Gaussian shape to an outer ring structure by increasing the filament length or nitrogen ion density, which is in accord with the previous experimental result. A multiple-diffraction effect has been proposed to clarify the mechanism of the outer rings beam pattern formation, which is induced by the dynamical interaction between the lasing effect and diffraction effect of the air laser propagating inside the filament plasma. In addition, the amplified air laser power as a function of both the filament length and nitrogen ion density was investigated. Our study would pave the way to improve the energy conversion efficiency and directivity of remote air lasers, which would be significant for remote sensing applications.
飞秒激光丝诱导的空气激光在空气污染物遥感方面发挥着重要作用。之前的研究已经对空气激光强度的空间分布进行了实验研究。然而,空气激光在灯丝等离子体内部传播特性的机理还不十分清楚。此外,基于数值模拟方法再现氮分子在灯丝等离子体中传播的空气激光剖面的研究还很少。本研究模拟了在飞秒激光灯丝化过程中,氮离子在 391 纳米波长的第一个负(0,0)波段转变产生的空气激光的激光作用。随着灯丝长度或氮离子密度的增加,空气激光的光束轮廓从高斯或超高斯形状变为外环结构,这与之前的实验结果一致。多重衍射效应被提出来阐明外环光束图案的形成机制,它是由空气激光在灯丝等离子体内传播时的激光效应和衍射效应之间的动态相互作用引起的。此外,还研究了放大的空气激光功率与灯丝长度和氮离子密度的函数关系。我们的研究将为提高远程空气激光器的能量转换效率和指向性铺平道路,这对遥感应用意义重大。
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引用次数: 0
Encoding of linear kinetic plasma problems in quantum circuits via data compression 通过数据压缩在量子电路中编码线性动力学等离子体问题
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000795
I. Novikau, I.Y. Dodin, E.A. Startsev
We propose an algorithm for encoding linear kinetic plasma problems in quantum circuits. The focus is on modelling electrostatic linear waves in a one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov–Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation $boldsymbol {A}{boldsymbol{psi} } = boldsymbol {b}$ to be solved by using the quantum signal processing algorithm. The latter requires encoding of matrix $boldsymbol {A}$ in a quantum circuit as a sub-block of a unitary matrix. We propose how to encode $boldsymbol {A}$ in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.
我们提出了一种在量子电路中编码线性动力学等离子体问题的算法。重点是模拟一维麦克斯韦电子等离子体中的静电线性波。静电波由线性化的弗拉索夫-安培系统描述,该系统具有空间局部化的外部电流,可驱动等离子体振荡。该系统被表述为一个边界值问题,并以线性矢量方程的形式表示 $boldsymbol {A}{boldsymbol{psi} }。}= boldsymbol {b}$,使用量子信号处理算法求解。后者需要在量子电路中将矩阵 $boldsymbol {A}$ 编码为单元矩阵的子块。我们提出了如何在电路中以压缩形式编码 $boldsymbol {A}$,并讨论了由此产生的电路如何随问题大小和所需精度而扩展。
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引用次数: 0
Quantized tensor networks for solving the Vlasov–Maxwell equations 用于求解弗拉索夫-麦克斯韦方程的量化张量网络
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000503
Erika Ye, Nuno F. Loureiro
The Vlasov–Maxwell equations provide an <jats:italic>ab initio</jats:italic> description of collisionless plasmas, but solving them is often impractical because of the wide range of spatial and temporal scales that must be resolved and the high dimensionality of the problem. In this work, we present a quantum-inspired semi-implicit Vlasov–Maxwell solver that uses the quantized tensor network (QTN) framework. With this QTN solver, the cost of grid-based numerical simulation of size <jats:inline-formula> <jats:alternatives> <jats:tex-math>$N$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline1.png"/> </jats:alternatives> </jats:inline-formula> is reduced from <jats:inline-formula> <jats:alternatives> <jats:tex-math>$O(N)$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline2.png"/> </jats:alternatives> </jats:inline-formula> to <jats:inline-formula> <jats:alternatives> <jats:tex-math>$O(text {poly}(D))$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline3.png"/> </jats:alternatives> </jats:inline-formula>, where <jats:inline-formula> <jats:alternatives> <jats:tex-math>$D$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline4.png"/> </jats:alternatives> </jats:inline-formula> is the ‘rank’ or ‘bond dimension’ of the QTN and is typically set to be much smaller than <jats:inline-formula> <jats:alternatives> <jats:tex-math>$N$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline5.png"/> </jats:alternatives> </jats:inline-formula>. We find that for the five-dimensional test problems considered here, a modest <jats:inline-formula> <jats:alternatives> <jats:tex-math>$D=64$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline6.png"/> </jats:alternatives> </jats:inline-formula> appears to be sufficient for capturing the expected physics despite the simulations using a total of <jats:inline-formula> <jats:alternatives> <jats:tex-math>$N=2^{36}$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline7.png"/> </jats:alternatives> </jats:inline-formula> grid points, which would require <jats:inline-formula> <jats:alternatives> <jats:tex-math>$D=2^{18}$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000503_inline8.png"/> </jats:alternatives> </jats:inline-formula> for full-rank calculations. Additionally, we observe that a QTN time evolution scheme based on the Dirac–Frenkel variational principle allows one to use some
弗拉索夫-麦克斯韦方程提供了对无碰撞等离子体的初始描述,但由于必须解决的空间和时间尺度范围很广,而且问题的维度很高,因此求解这些方程往往不切实际。在这项工作中,我们提出了一种量子启发的半隐式 Vlasov-Maxwell 求解器,它使用了量子化张量网络(QTN)框架。有了这个 QTN 求解器,基于网格的数值模拟成本从 $O(N)$ 降至 $O(text {poly}(D))$ ,其中 $D$ 是 QTN 的 "秩 "或 "键维",通常设置为远小于 $N$。我们发现,对于本文考虑的五维测试问题,尽管模拟总共使用了 $N=2^{36}$ 网格点,但适度的 $D=64$ 似乎足以捕捉到预期的物理现象,而全阶计算则需要 $D=2^{18}$。此外,我们还观察到,基于狄拉克-弗伦克尔变分原理的 QTN 时间演化方案允许我们使用比 Courant-Friedrichs-Lewy 约束所规定的更大的时间步长。因此,这项研究表明,QTN 格式是以显著降低的成本近似求解 Vlasov-Maxwell 方程的一种可行方法。
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引用次数: 0
The effects of finite electron inertia on helicity-barrier-mediated turbulence 有限电子惯性对螺旋屏障中介湍流的影响
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000771
T. Adkins, R. Meyrand, J. Squire
Understanding the partitioning of turbulent energy between ions and electrons in weakly collisional plasmas is crucial for the accurate interpretation of observations and modelling of various astrophysical phenomena. Many such plasmas are ‘imbalanced’, wherein the large-scale energy input is dominated by Alfvénic fluctuations propagating in a single direction. In this paper, we demonstrate that when strongly-magnetised plasma turbulence is imbalanced, nonlinear conservation laws imply the existence of a critical value of the electron plasma beta (the ratio of the thermal to magnetic pressures) that separates two dramatically different types of turbulence in parameter space. For betas below the critical value, the free energy injected on the largest scales is able to undergo a familiar Kolmogorov-type cascade to small scales where it is dissipated, heating electrons. For betas above the critical value, the system forms a ‘helicity barrier’ that prevents the cascade from proceeding past the ion Larmor radius, causing the majority of the injected free energy to be deposited into ion heating. Physically, the helicity barrier results from the inability of the system to adjust to the disparity between the perpendicular-wavenumber scalings of the free energy and generalised helicity below the ion Larmor radius; restoring finite electron inertia can annul, or even reverse, this disparity, giving rise to the aforementioned critical beta. We relate this physics to the ‘dynamic phase alignment’ mechanism (that operates under yet lower beta conditions and in pair plasmas), and characterise various other important features of the helicity barrier, including the nature of the nonlinear wavenumber-space fluxes, dissipation rates, and energy spectra. The existence of such a critical beta has important implications for heating, as it suggests that the dominant recipient of the turbulent energy, ions or electrons, can depend sensitively on the characteristics of the plasma at large scales.
了解弱碰撞等离子体中离子和电子之间的湍流能量分配对于准确解释各种天体物理现象的观测结果和建模至关重要。许多此类等离子体都是 "不平衡 "的,即大尺度能量输入主要由沿单一方向传播的阿尔费尼波动所主导。在本文中,我们证明了当强磁化等离子体湍流不平衡时,非线性守恒定律意味着电子等离子体β(热压与磁压之比)临界值的存在,该临界值将参数空间中两种截然不同的湍流类型区分开来。当贝塔值低于临界值时,在最大尺度上注入的自由能会以我们所熟悉的科尔莫哥罗夫(Kolmogorov)式级联的方式传递到小尺度上,并在小尺度上耗散,从而加热电子。对于高于临界值的贝塔,系统会形成一个 "螺旋屏障",阻止级联穿过离子的拉莫尔半径,导致大部分注入的自由能沉积到离子加热中。从物理学角度看,螺旋障碍的产生是由于系统无法适应离子拉莫尔半径以下的自由能和广义螺旋的垂直波数标度之间的差异;恢复有限的电子惯性可以消除甚至逆转这种差异,从而产生上述临界贝塔。我们将这一物理机制与 "动态相位对准 "机制(在更低的贝塔条件下和对等离子体中运行)联系起来,并描述了螺旋屏障的其他各种重要特征,包括非线性波数空间通量的性质、耗散率和能谱。这种临界贝塔的存在对加热有重要影响,因为它表明湍流能量的主要接受者(离子或电子)可以敏感地取决于大尺度等离子体的特性。
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引用次数: 0
Nonlinear solution of classical three-wave interaction via finite-dimensional quantum model 通过有限维量子模型解决经典三波相互作用的非线性问题
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s002237782400059x
Michael Q. May, Hong Qin
The quantum three-wave interaction, the lowest-order nonlinear interaction in plasma physics, describes energy–momentum transfer between three resonant waves in the quantum regime. We describe how it may also act as a finite-degree-of-freedom approximation to the classical three-wave interaction in certain circumstances. By promoting the field variables to operators, we quantize the classical system, show that the quantum system has more free parameters than the classical system and explain how these parameters may be selected to optimize either initial or long-term correspondence. We then numerically compare the long-time quantum–classical correspondence far from the fixed point dynamics. We discuss the Poincaré recurrence of the system and the mitigation of quantum scrambling.
量子三波相互作用是等离子物理学中最低阶的非线性相互作用,它描述了量子体系中三个共振波之间的能量-动量传递。我们描述了在某些情况下,它也可以作为经典三波相互作用的有限自由度近似。通过将场变量提升为算子,我们将经典系统量子化,表明量子系统比经典系统有更多的自由参数,并解释了如何选择这些参数以优化初始或长期对应关系。然后,我们对远离定点动力学的长期量子-经典对应关系进行了数值比较。我们讨论了系统的普恩卡雷递推和量子扰乱的缓解。
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引用次数: 0
Improved axial confinement in the open trap by the combination of helical and short mirrors 螺旋镜和短镜的组合改善了开放式陷阱的轴向约束能力
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824001132
Anton V. Sudnikov, Ivan A. Ivanov, Anna A. Inzhevatkina, Aleksey V. Kozhevnikov, Vladimir V. Postupaev, Mikhail S. Tolkachev, Viktor O. Ustyuzhanin
The paper presents experimental results from the SMOLA device, which was built in the Budker Institute of Nuclear Physics for the verification of the helical mirror confinement idea. This concept involves active control of axial losses from the confinement zone in an open magnetic trap through the use of multiple mirrors that move in the plasma frame of reference. The discussed experiments focused on determining the cumulative effect of a helical mirror system in combination with a short segment of a stronger magnetic field. Combination of these two methods of axial flow suppression results in higher efficiency compared with each method individually. Different combinations of the mirrors were tested. The most effective flow suppression was observed if the short mirror was placed between the confinement region and the helical mirror. In this configuration, an effective mirror ratio of $R_{{rm eff}} = 32.6pm 7.8$ was achieved, along with a more than three-fold increase in plasma density within the confinement region. The possibility of a cumulative effect of different types of magnetic mirrors offers a way to improve the confinement performance of the reactor-grade mirror confinement devices.
论文介绍了巴德克核物理研究所(Budker Institute of Nuclear Physics)为验证螺旋镜约束理念而建造的 SMOLA 设备的实验结果。这一概念涉及通过使用在等离子体参照系中移动的多面镜子,主动控制开放式磁阱中禁锢区的轴向损耗。所讨论的实验侧重于确定螺旋镜系统与较强磁场短段相结合的累积效应。与单独使用每种方法相比,结合使用这两种方法抑制轴向流的效率更高。我们对不同的镜面组合进行了测试。如果将短反射镜置于约束区和螺旋反射镜之间,则可观察到最有效的流动抑制效果。在这种配置下,实现了 $R_{{rm eff}} = 32.6pm 7.8$ 的有效镜面比,同时约束区内的等离子体密度增加了三倍多。不同类型磁性反射镜的累积效应为提高反应堆级反射镜约束装置的约束性能提供了可能。
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引用次数: 0
Correlations between X-rays, visible light and drive-beam energy loss observed in plasma wakefield acceleration experiments at FACET-II 在 FACET-II 等离子体汪场加速实验中观测到的 X 射线、可见光和驱动束能量损失之间的相关性
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000734
Chaojie Zhang, Doug Storey, Pablo San Miguel Claveria, Zan Nie, Ken A. Marsh, Warren B. Mori, Erik Adli, Weiming An, Robert Ariniello, Gevy J. Cao, Christine Clark, Sebastien Corde, Thamine Dalichaouch, Christopher E. Doss, Claudio Emma, Henrik Ekerfelt, Elias Gerstmayr, Spencer Gessner, Claire Hansel, Alexander Knetsch, Valentina Lee, Fei Li, Mike Litos, Brendan O'Shea, Glen White, Gerry Yocky, Viktoriia Zakharova, Mark Hogan, Chan Joshi
This study documents several correlations observed during the first run of the plasma wakefield acceleration experiment E300 conducted at FACET-II, using a single drive electron bunch. The established correlations include those between the measured maximum energy loss of the drive electron beam and the integrated betatron X-ray signal, the calculated total beam energy deposited in the plasma and the integrated X-ray signal, among three visible light emission measuring cameras and between the visible plasma light and X-ray signal. The integrated X-ray signal correlates almost linearly with both the maximum energy loss of the drive beam and the energy deposited into the plasma, demonstrating its usability as a measure of energy transfer from the drive beam to the plasma. Visible plasma light is found to be a useful indicator of the presence of a wake at three locations that overall are two metres apart. Despite the complex dynamics and vastly different time scales, the X-ray radiation from the drive bunch and visible light emission from the plasma may prove to be effective non-invasive diagnostics for monitoring the energy transfer from the beam to the plasma in future high-repetition-rate experiments.
本研究记录了在 FACET-II 进行的等离子体汪场加速实验 E300 第一次运行期间,使用单个驱动电子束观察到的几种相关性。已建立的相关性包括:测量到的驱动电子束最大能量损失与综合贝塔电子管 X 射线信号之间的相关性、计算出的沉积在等离子体中的电子束总能量与综合 X 射线信号之间的相关性、三台可见光发射测量相机之间的相关性以及可见等离子体光与 X 射线信号之间的相关性。综合 X 射线信号与驱动光束的最大能量损失和沉积到等离子体中的能量几乎呈线性相关,这表明它可以用来测量从驱动光束到等离子体的能量转移。在相距两米的三个地点,可见等离子体光是唤醒存在的有效指标。尽管动力学过程复杂,时间尺度也大不相同,但在未来的高重复率实验中,驱动束的 X 射线辐射和等离子体的可见光发射可能会被证明是监测从束流到等离子体的能量转移的有效非侵入式诊断方法。
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引用次数: 0
Available energy of plasmas with small fluctuations 小波动等离子体的可用能量
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-09-18 DOI: 10.1017/s0022377824000746
P. Helander, R.J.J. Mackenbach
The available energy of a plasma is defined as the maximum amount by which the plasma energy can be lowered by volume-preserving rearrangements in phase space, so-called Gardner restacking. A general expression is derived for the available energy of a nearly homogeneous plasma and is shown to be closely related to the Helmholtz free energy, which it can never exceed. A number of explicit examples are given.
等离子体的可用能量被定义为等离子体能量在相空间中通过体积保持重排(即所谓的加德纳重堆)而降低的最大值。推导出了近乎均质等离子体可用能量的一般表达式,并证明它与亥姆霍兹自由能密切相关,且永远不会超过亥姆霍兹自由能。文中给出了一些明确的例子。
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引用次数: 0
Global characterization of a laser-generated neutron source 激光产生的中子源的总体特征
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-06-03 DOI: 10.1017/s0022377824000618
D.P. Higginson, R. Lelièvre, L. Vassura, M.M. Gugiu, M. Borghesi, L.A. Bernstein, D. L. Bleuel, B. L. Goldblum, A. Green, F. Hannachi, S. Kar, S. Kisyov, L. Quentin, M. Schroer, M. Tarisien, O. Willi, P. Antici, F. Negoita, A. Allaoua, J. Fuchs

Laser-driven neutron sources are routinely produced by the interaction of laser-accelerated protons with a converter. They present complementary characteristics to those of conventional accelerator-based neutron sources (e.g. short pulse durations, enabling novel applications like radiography). We present here results from an experiment aimed at performing a global characterization of the neutrons produced using the Titan laser at the Jupiter Laser Facility (Livermore, USA), where protons were accelerated from 23 $mathrm {mu }$m thick plastic targets and directed onto a LiF converter to produce neutrons. For this purpose, several diagnostics were used to measure these neutron emissions, such as CR-39, activation foils, time-of-flight detectors and direct measurement of $^7{rm Be}$ residual activity in the LiF converters. The use of these different, independently operating diagnostics enables comparison of the various measurements performed to provide a robust characterization. These measurements led to a neutron yield of $2.0times 10^{9}$ neutrons per shot with a modest angular dependence, close to that simulated.

激光驱动中子源是激光加速质子与转换器相互作用产生的常规中子源。与传统的加速器中子源相比,激光驱动中子源具有互补的特点(如脉冲持续时间短,可用于射线照相等新型应用)。我们在此介绍一项实验的结果,该实验的目的是对木星激光设施(美国利弗莫尔)使用泰坦激光器产生的中子进行全面鉴定,在该实验中,质子从23 $mathrm {mu }$m厚的塑料靶加速,并被引导到LiF转换器上产生中子。为此,使用了几种诊断方法来测量这些中子发射,如 CR-39、活化箔、飞行时间探测器和直接测量 LiF 转换器中的 $^7{rm Be}$ 残余活动。通过使用这些不同的、独立运行的诊断方法,可以对所进行的各种测量进行比较,从而提供可靠的特征描述。这些测量结果表明,每次发射的中子产率为 10^{9}$ 中子的 2.0 倍,角度依赖性不大,接近模拟产率。
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引用次数: 0
Coil optimization for quasi-helically symmetric stellarator configurations 准对称恒星器配置的线圈优化
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-22 DOI: 10.1017/s0022377824000540
A. Wiedman, S. Buller, M. Landreman
Filament-based coil optimizations are performed for several quasi-helical stellarator configurations, beginning with the one from Landreman & Paul (<jats:italic>Phys. Rev. Lett.</jats:italic>, vol. 128, 2022, 035001), demonstrating that precise quasi-helical symmetry can be achieved with realistic coils. Several constraints are placed on the shape and spacing of the coils, such as low curvature and sufficient plasma–coil distance for neutron shielding. The coils resulting from this optimization have a maximum curvature 0.8 times that of the coils of the Helically Symmetric eXperiment (HSX) and a mean squared curvature 0.4 times that of the HSX coils when scaled to the same plasma minor radius. When scaled up to reactor size and magnetic field strength, no fast particle losses were found in the free-boundary configuration when simulating 5000 alpha particles launched at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$3.5,mathrm {MeV}$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000540_inline1.png"/> </jats:alternatives> </jats:inline-formula> on the flux surface with a normalized toroidal flux of <jats:inline-formula> <jats:alternatives> <jats:tex-math>$s=0.5$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000540_inline2.png"/> </jats:alternatives> </jats:inline-formula>. An analysis of the tolerance of the coils to manufacturing errors is performed using a Gaussian process model, and the coils are found to maintain low particle losses for smooth, large-scale errors up to amplitudes of approximately <jats:inline-formula> <jats:alternatives> <jats:tex-math>$0.15,mathrm {m}$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000540_inline3.png"/> </jats:alternatives> </jats:inline-formula>. Another coil optimization is performed for the Landreman–Paul configuration with the additional constraint that the coils are purely planar. Visual inspection of the Poincaré plot of the resulting magnetic field-lines reveal that the planar modular coils alone do a poor job of reproducing the target equilibrium. Additional non-planar coil optimizations are performed for the quasi-helical configuration with <jats:inline-formula> <jats:alternatives> <jats:tex-math>$5,%$</jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0022377824000540_inline4.png"/> </jats:alternatives> </jats:inline-formula> volume-averaged plasma beta from Landreman <jats:italic>et al.</jats:italic> (<jats:italic>Phys. Plasma</jats:italic>, vol. 29, issue 8, 2022, 082501), and a similar configuration also optimized to satisfy the Mercier criterion. The finite beta configurations had larger fast-particle losses, with the free-boundary Mercier-optimized configuration performing the worst, losing approxi
从 Landreman & Paul(《物理评论快报》,第 128 卷,2022 年,035001 期)的构型开始,对几种准螺旋恒星器构型进行了基于丝状线圈的优化,证明可以用现实的线圈实现精确的准螺旋对称性。对线圈的形状和间距施加了一些限制,如低曲率和足够的等离子体-线圈距离以屏蔽中子。优化后的线圈的最大曲率是螺旋对称实验(HSX)线圈的 0.8 倍,在等离子体小半径相同的情况下,平均曲率平方是 HSX 线圈的 0.4 倍。当放大到反应堆尺寸和磁场强度时,在自由边界配置中,当模拟在通量表面以 3.5 美元/mathrm {MeV}$ 的速度发射 5000 颗阿尔法粒子时,没有发现快速粒子损失,归一化环形通量为 0.5 美元/mathrm {MeV}$ 。使用高斯过程模型对线圈对制造误差的容限进行了分析,发现线圈能够在振幅约为0.15mathrm {m}$的平滑大尺度误差下保持较低的粒子损耗。针对 Landreman-Paul 配置进行了另一次线圈优化,额外的限制条件是线圈是纯平面的。对所得到的磁场线的波恩卡雷图进行目测后发现,仅凭平面模块线圈并不能很好地再现目标平衡。针对兰德雷曼等人(《物理等离子体》,第 29 卷,第 8 期,2022 年,082501)提出的具有 5 美元(,%$)体积平均等离子体贝塔值的准螺旋配置,以及为满足梅歇准则而优化的类似配置,进行了额外的非平面线圈优化。有限β配置的快速粒子损失较大,自由边界梅西埃优化配置的表现最差,在$s=0.5$时发射的α粒子损失约为$5.5,%$。
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Journal of Plasma Physics
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