振荡目标的散射：基本机理及其对截面的影响
Scattering off an oscillating target: Basic mechanisms and their impact on cross sections
摘要：
本文研究了二维空间中简谐振荡目标的经典散射。散射体的形状被假定为具有在任何点处局部凸的边界，并且不支持在相应的动力学中存在任何周期性轨道。作为一个简单的例子，我们考虑一束无相互作用的粒子离开圆形硬散射体的散射。所执行的分析集中在实验上可访问的量，表征系统，如在出射角和速度的微分截面。尽管在动力学中没有周期轨道和它们的流形，我们表明，当光束中粒子的速度成为与振荡目标的最大速度相同的数量级时，截面获得丰富的多重结构。基本的动力学模式是唯一确定的光束粒子和散射体之间的第一次碰撞的相位，并拥有一个普遍的配置文件，由抛物轨道的流形，这可以理解定性以及定量的散射了硬墙。我们还讨论了从微分截面中提取振荡目标特性的可能性的逆问题。
英文摘要：
We investigate classical scattering off a harmonically oscillating target in two spatial dimensions. The shape of the scatterer is assumed to have a boundary which is locally convex at any point and does not support the presence of any periodic orbits in the corresponding dynamics. As a simple example we consider the scattering of a beam of non-interacting particles off a circular hard scatterer. The performed analysis is focused on experimentally accessible quantities, characterizing the system, like the differential cross sections in the outgoing angle and velocity. Despite the absence of periodic orbits and their manifolds in the dynamics, we show that the cross sections acquire rich and multiple structure when the velocity of the particles in the beam becomes of the same order of magnitude as the maximum velocity of the oscillating target. The underlying dynamical pattern is uniquely determined by the phase of the first collision between the beam particles and the scatterer and possesses a universal profile, dictated by the manifolds of the parabolic orbits, which can be understood both qualitatively as well as quantitatively in terms of scattering off a hard wall. We discuss also the inverse problem concerning the possibility to extract properties of the oscillating target from the differential cross sections.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
