标题： 半经典蘑菇弹道中边缘不稳定的周期轨道 显示英文标题

标题： Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards

摘要： 光学蘑菇状弹道为隔离和研究非色散、边缘不稳定周期轨道提供了独特的机会。 这里我们表明，腔体对外部场的开放性对远场分布产生了意想不到的影响，包括定向发射。 这是通过边缘不稳定周期轨道与混沌模式的相互作用实现的，并可能对微腔激光器的设计具有相关性。 我们还表明，尽管经典对应物的非普遍性和相应经典轨道的结构不稳定性，这些轨道对外部形状扰动具有鲁棒性。 显示英文摘要

摘要： Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity to external fields presents unanticipated consequences for the far-field distribution, including directional emission. This is mediated by interactions of marginally unstable periodic orbits with chaotic modes and is potentially relevant for the design of microcavity lasers. We also show that such orbits are robust against perturbations to the shape of the cavity, despite the non-generic character of the classical counterpart and the lack of structural stability of the corresponding classical orbits.