论文标题
光子学效率指标的界限
Bounds on Efficiency Metrics in Photonics
论文作者
论文摘要
在本文中，我们提出了一种计算光子学中各种效率指标（例如聚焦效率或模式纯度）的方法。我们专注于特殊情况，即目标函数可以作为该领域的两个二次函数的比率写入，并表明存在一个简单的半决赛编程放宽，以解决此问题。我们提供了一个数字示例，即为给定尺寸的设备界定最大模式转换纯度。本文伴随着一个开源的Julia软件包，用于基本模拟和边界。
In this paper, we present a method for computing bounds for a variety of efficiency metrics in photonics, such as the focusing efficiency or the mode purity. We focus on the special case where the objective function can be written as the ratio of two quadratic functions of the field and show that there exists a simple semidefinite programming relaxation for this problem. We provide a numerical example of bounding the maximal mode conversion purity for a device of given size. This paper is accompanied by an open source Julia package for basic simulations and bounds.
