有向图与干涉测量
Directed graphs and interferometry
摘要:
干涉仪的观测输出是沿每个可能的光路传播的输入光束部分之间干涉的结果。在复杂系统中,写下所有这些可能的光路并计算它们的累积效应可能成为一项困难的任务。我们提出了一个直观的图形为基础的方法来解决这个问题,并计算电场内的干涉设置,经典和量子。我们将展示如何关联一个加权有向图的干涉仪和定义规则,以简化这些相关的图形。规则的连续应用导致包含关于期望的场幅度的信息的最终图形。该方法适用于腔光学力学和腔增强干涉仪的一些例子。
英文摘要:
The observed output of an interferometer is the result of interference among the parts of the input light beam traveling along each possible optical path. In complex systems, writing down all these possible optical paths and computing their cumulative effect can become a difficult task. We present an intuitive graph-based method for solving this problem and calculating electric fields within an interferometric setup, classical and quantum. We show how to associate a weighted directed graph to an interferometer and define rules to simplify these associated graphs. Successive application of the rules results in a final graph containing information on the desired field amplitudes. The method is applied to a number of examples in cavity optomechanics and cavity-enhanced interferometers.
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