Opt Express. 2023 May 8;31(10):16729-16742. doi: 10.1364/OE.487156.
Programmable linear optical interferometers are important for classical and quantum information technologies, as well as for building hardware-accelerated artificial neural networks. Recent results showed the possibility of constructing optical interferometers that could implement arbitrary transformations of input fields even in the case of high manufacturing errors. The building of detailed models of such devices drastically increases the efficiency of their practical use. The integral design of interferometers complicates its reconstruction since the internal elements are hard to address. This problem can be approached by using optimization algorithms [Opt. Express29, 38429 (2021)10.1364/OE.432481]. In this paper, we present what we believe to be a novel efficient algorithm based on linear algebra only, which does not use computationally expensive optimization procedures. We show that this approach makes it possible to perform fast and accurate characterization of high-dimensional programmable integrated interferometers. Moreover, the method provides access to the physical characteristics of individual interferometer layers.
可编程线性光学干涉仪在经典和量子信息技术以及构建硬件加速人工神经网络方面都很重要。最近的研究结果表明，构建光学干涉仪的可能性，即使在制造误差较高的情况下，也可以实现输入场的任意变换。详细的设备模型可以大大提高它们的实际使用效率。由于内部元件难以解决，干涉仪的整体设计使其重构变得复杂。这个问题可以通过使用优化算法[Opt. Express29, 38429 (2021)10.1364/OE.432481]来解决。在本文中，我们提出了一种仅基于线性代数的新颖高效算法，该算法不使用计算成本高昂的优化程序。我们表明，这种方法可以实现对高维可编程集成干涉仪的快速准确特性描述。此外，该方法还可以访问各个干涉仪层的物理特性。
