标题： 粗糙的法布里-珀罗腔：一个高度多尺度的数值问题 显示英文标题

标题： Rough Fabry-Perot cavity: a vastly multi-scale numerical problem

摘要： 一种商用法布里-珀罗激光二极管具有高度不成比例的尺寸，这即使对于最先进的工具来说也是一个重大的数值挑战。 当腔体镜面之一变得粗糙时，这种挑战会更加严重，这在制造随机激光二极管时是常见的情况。 这样的系统涉及从几百微米（长度）到几纳米（粗糙度）的尺度，所有这些在研究可见光范围内的光学特性时都是相关的。 尽管涉及极端的尺寸范围，但这些腔体不能通过统计方法进行处理，例如那些用于具有已知良好研究特性的自相似分形结构的方法。 在这里，我们采用数值方法来计算腔体模式，并展示法布里-珀罗腔壁的随机起伏如何影响其光谱特征的统计特性。 我们的研究是开发用于光子计算和高效无斑点照明的技术关键设备的必要第一步。 显示英文摘要

摘要： A commercial Fabry-Perot laser diode is characterized by highly disproportionate dimensions, which poses a significant numerical challenge, even for state-of-the-art tools. This challenge is exacerbated when one of the cavity mirrors is rough-ened, as is the case when fabricating random laser diodes. Such a system involves length scales from several hundred mi-crometres (length) to a few nanometres (roughness) all of which are relevant when studying optical properties in the visi-ble. While involving an extreme range of dimensions, these cavities cannot be treated through statistical approaches such as those used with self-similar fractal structures known to show well-studied properties. Here we deploy numerical meth-ods to compute cavity modes and show how random corrugations of the Fabry-Perot cavity wall affect statistical proper-ties of their spectral features. Our study constitutes a necessary first step in developing technologically essential devices for photonic computation and efficient speckle-free illumination.