标题： 微波弹道中的弗里德尔振荡 显示英文标题

标题： Friedel Oscillations in Microwave Billiards

摘要： 电子密度在台阶边缘附近的Friedel振荡在微波弹道中有一个对应现象。一个随机平面波模型，通常仅适用于纯混沌系统的本征函数，可以应用于非纯混沌动力系统，并在伪可积和混合动力几何结构上进行了测试。发现伪可积微波腔中的振荡与随机平面波模型相匹配。为了将混合系统中的混沌态与规则态分开，需要以多种方式将适当相空间投影纳入建模，以获得与实验的良好一致。 显示英文摘要

摘要： Friedel oscillations of electron densities near step edges have an analog in microwave billiards. A random plane wave model, normally only appropriate for the eigenfunctions of a purely chaotic system, can be applied and is tested for non-purely-chaotic dynamical systems with measurements on pseudo-integrable and mixed dynamics geometries. It is found that the oscillations in the pseudo-integrable microwave cavity matches the random plane-wave modeling. Separating the chaotic from the regular states for the mixed system requires incorporating an appropriate phase space projection into the modeling in multiple ways for good agreement with experiment.