标题： 相位稳定的有限相对论加速或激光-薄箔相互作用中的无限相对论加速 显示英文标题

标题： Phase-stable limited relativistic acceleration or unlimited relativistic acceleration in the laser-thin-foil interactions

摘要： 为了明确相位稳定加速（PSA）和无限相对论加速（URA）之间的关系（Phys. Rev. Lett. 104, 135003 (2010))，在超强激光和纳米箔的相互作用中提出了一种解析相对论模型，基于流体动力学方程。离子动量随时间的变化与之前的结果一致，并通过PIC模拟进行了验证。根据初始离子动量，相对论RPA包含两种加速过程：相位稳定有限相对论加速（PS-LRA）和URA。在PS-LRA中，势能是一个深井，将离子捕获其中。离子前端，即底部，将其分为两部分：左半区域是PSA区域；右半区域是PSD区域，其中离子爬升并被减速返回。在PS-LRA中，最大离子能量是有限的。如果初始离子动量足够大，离子将经历势能下坡并落入无底深渊，这被称为相位锁定类似位置。URA不再具有相位稳定性。在相位锁定类似位置，离子可以获得无限的能量增益，并且离子密度不为零。你不能同时拥有PSA和URA。 显示英文摘要

摘要： To clarify the relationship between phase-stable acceleration (PSA) and unlimited relativistic acceleration (URA) (Phys. Rev. Lett. 104, 135003 (2010)), an analytical relativistic model is proposed in the interactions of the ultra-intense laser and nanometer foils, based on hydrodynamic equations. The dependence of the ion momentum on time is consistent with the previous results and checked by PIC simulations. Depending on the initial ion momentum, relativistic RPA contains two acceleration processes: phase-stable limited relativistic acceleration (PS-LRA) and URA. In PS-LRA, the potential is a deep well trapping the ions. The ion front, i.e., the bottom, separates it into two parts: the left half region is PSA region; the right half region is PSD region, where the ions climb up and are decelerated to return back. In PS-LRA, the maximum ion energy is limited. If the initial ion momentum large enough, ions will experience a potential downhill and drop into a bottomless abyss, which is called phase-lock-like position. URA is not phase-stable any more. At the phase-lock-like position the ions can obtain unlimited energy gain and the ion density is non-zero. You cannot have both PSA and URA.