Gratton-Vargas二维扫雪模型框架下Mather型等离子体聚焦的全局参数优化
Global parameter optimization of Mather type plasma focus in the framework of the Gratton-Vargas two-dimensional snowplow model
摘要：
已知稠密等离子体焦点（DPF）产生高能离子、电子和等离子体环境，其可用于短寿命同位素的繁殖、等离子体纳米技术和其他材料处理应用。DPF在这些领域的商业应用将需要一种设计工具，该工具可以用于自动搜索给定应用的最佳可能设备配置。最近重新访问的[S K H Auluck，Physics of Plasmas 20，112501（2013）]等离子体焦点的Gratton-Vargas（GV）二维分析雪犁模型提供了适合于数千次自动计算的Mather型等离子体焦点的动态电感的数值公式，这使得能够构建这种设计工具。在本工作中，利用电感公式探索全局优化，基于第一性原理的最优准则，在一个4维参数子空间的零电阻GV模型。示出的优化过程中再现经验观察到的恒定的驱动参数超过8个十年的电容器组能量。归一化到阳极半径的等离子体焦点的优化几何形状被示出为独立于电压，而优化的阳极半径被示出为与电容器组电感有关。
英文摘要：
Dense Plasma Focus (DPF) is known to produce highly energetic ions, electrons and plasma environment which can be used for breeding of short-lived isotopes, plasma nanotechnology and other material processing applications. Commercial utilization of DPF in such areas would need a design tool which can be deployed in an automatic search for the best possible device configuration for a given application. The recently revisited [S K H Auluck, Physics of Plasmas 20, 112501 (2013)] Gratton-Vargas (GV) two-dimensional analytical snowplow model of plasma focus provides a numerical formula for dynamic inductance of a Mather type plasma focus fitted to thousands of automated computations, which enables construction of such design tool. This inductance formula is utilized in the present work to explore global optimization, based on first-principles optimality criteria, in a 4-dimensional parameter-subspace of the zero-resistance GV model. The optimization process is shown to reproduce the empirically observed constancy of the drive parameter over 8 decades in capacitor bank energy. The optimized geometry of plasma focus normalized to anode radius is shown to be independent of voltage, while the optimized anode radius is shown to be related to capacitor bank inductance.
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