激光离子加速已经受到国际关注,成为国际研究的热点。在实验上已经观察到了最大离子能量随靶厚度的变化关系。要想解释最大离子能量随靶厚度的变化关系,就必须考虑电子回流效应引起的电子密度的变化。虽然在前文我们建立了一个离散模型来描述超热电子回流效应,并且详细地讨论了它对离子加速的影响。但是实际上,电子密度并非阶跃式增长的,而应该是连续的。所以建立一个能够描述 Laser ion acceleration has received international attention and has become a hot spot in international research. Experiments have observed the maximum ion energy with the target thickness changes. To explain the relationship between the maximum ion energy and the target thickness, we must consider the electron density caused by the electron reflow effect. Although we have previously established a discrete model to describe the effects of hyperthermonic electron reflow, and discussed in detail its effect on ion acceleration. But in fact, the electronic density is not a step-by-step growth, but should be continuous. So build a description