论文标题
用于在均匀和非均匀培养基中建模苛性剂的元素几何光学器件
Metaplectic geometrical optics for modeling caustics in uniform and nonuniform media
论文作者
论文摘要
作为一种高度评价其计算效率的近似理论，几何光学（GO）被广泛用于在各个物理领域建模波。但是，GO因苛性剂而失败，这大大限制了其适用性。最近已经开发了一个称为Metapcit Gemortic Optics（MGO）的新框架，该框架可以在GO框架中准确地对某些类型进行苛刻的建模。在这里，我们将MGO扩展到最一般的情况。为了说明我们的新理论，我们还将其应用于几个样本问题，包括对折叠和尖端苛性剂附近的二维波场的计算。与传统的解决方案相反，相应的MGO解决方案到处都是有限的，并且在这些苛性遗传附近的真实波场均已近似。
As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) is widely used for modeling waves in various areas of physics. However, GO fails at caustics, which significantly limits its applicability. A new framework, called metaplectic geometrical optics (MGO), has recently been developed that allows caustics of certain types to be modeled accurately within the GO framework. Here, we extend MGO to the most general case. To illustrate our new theory, we also apply it to several sample problems, including calculations of two-dimensional wavefields near fold and cusp caustics. In contrast with traditional-GO solutions, the corresponding MGO solutions are finite everywhere and approximate well the true wavefield near these caustics.
