飞行等离子体镜穿越密度梯度靶的轨迹
Trajectory of a flying plasma mirror traversing a target with density gradient
摘要：
有人提出，如果等离子体具有适当的密度分布，激光诱导相对论等离子体镜可以加速。这种加速等离子体镜可以作为模拟黑洞来研究霍金蒸发和相关的信息损失悖论。在这里，我们重新审视梯度密度等离子体中的镜像运动的基本动力学，以提供作为等离子体密度及其梯度的函数的明确的轨迹。具体地，沿激光传播方向的减小的等离子体密度分布（下降斜坡）通常会加速反射镜。特别地，恒定加指数密度分布将产生具有明确定义的模拟霍金温度的戴维斯-富勒轨道，其对等离子体密度梯度敏感，但对密度本身不敏感。我们表明，没有调用纳米制造的薄膜，一个低得多的密度气体目标，例如，$\sim 1\times 10^{17}{\rm cm}^{-3}$，将能够诱导模拟霍金温度，$k_{_B}T_{_H}\sim 6.6 \times 10^{-2}{\rm eV}$，在远红外区域。我们希望这有助于更好地实现Chen和Mourou提出的实验。
英文摘要：
It has been proposed that laser-induced relativistic plasma mirror can accelerate if the plasma has a properly tailored density profile. Such accelerating plasma mirrors can serve as analog black holes to investigate Hawking evaporation and the associated information loss paradox. Here we reexamine the underlying dynamics of mirror motion in a graded-density plasma to provide an explicit trajectory as a function of the plasma density and its gradient. Specifically, a decreasing plasma density profile (down-ramp) along the direction of laser propagation would in general accelerate the mirror. In particular, a constant-plus-exponential density profile would generate the Davies-Fulling trajectory with a well-defined analog Hawking temperature, which is sensitive to the plasma density gradient but not to the density itself. We show that without invoking nano-fabricated thin-films, a much lower density gas target at, for example, $\sim 1\times 10^{17}{\rm cm}^{-3}$, would be able to induce an analog Hawking temperature, $k_{_B}T_{_H}\sim 6.6 \times 10^{-2}{\rm eV}$, in the far-infrared region. We hope that this would help to better realize the experiment proposed by Chen and Mourou.
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