论文标题
量子和经典波和高频定位景观之间的跨界
Crossover Between Quantum and Classical Waves and High Frequency Localization Landscapes
论文作者
论文摘要
当波通过随机培养基演变时，安德森本地化是一种普遍的干扰现象，并且已经在各种物理系统（无论是量子还是经典）中观察到。最近开发的本地化景观理论提供了一种计算负担得起的方式，以获取有关本地化模式（例如其位置或大小）的有用信息。在这里，我们在表现出高频定位的经典波浪的背景下检查了这一理论，并且原始定位景观方法不再有用。使用Webster的转换，我们将经典的波方程转换为具有相同本地化属性的Schrödinger方程。然后，我们计算一个适应的本地化景观，以检索有关原始古典系统的信息。这项工作提供了一种负担得起的方式，可以在高频模式本地化上访问关键信息。
Anderson localization is a universal interference phenomenon occurring when a wave evolves through a random medium and it has been observed in a great variety of physical systems, either quantum or classical. The recently developed localization landscape theory offers a computationally affordable way to obtain useful information on the localized modes, such as their location or size. Here we examine this theory in the context of classical waves exhibiting high frequency localization and for which the original localization landscape approach is no longer informative. Using a Webster's transformation, we convert a classical wave equation into a Schrödinger equation with the same localization properties. We then compute an adapted localization landscape to retrieve information on the original classical system. This work offers an affordable way to access key information on high-frequency mode localization.
