实值函数导数的光学算法
Optical Algorithm for Derivative of Real-Valued Functions
AI总结：
本文提出一种基于傍轴单色激光束的光学算法，用于计算一维实值函数的导数，并实验实现了将二维相位编码函数转换为光强分布的方法，进而支持实现n阶导数。
摘要：
函数的求导是解决微积分问题的基础工具。因此，研究能够执行这一任务的物理系统的动机十分丰富。此外，开发光学计算机以取代传统计算机的潜力促使我们创建了一种光学算法，并提出了一种实验装置，利用傍轴单色激光束实现一维实值函数的导数。为了补充该微分算法，我们通过实验实现了一种新颖的光学算法，该算法能够将二维相位编码函数转换为光束的强度分布。此外，我们还演示了如何实现编码在光子横向剖面相位中的函数的n阶导数。
英文摘要：
The derivation of a function is a fundamental tool for solving problems in calculus. Consequently, the motivations for investigating physical systems capable of performing this task are numerous. Furthermore, the potential to develop an optical computer to replace conventional computers has led us to create an optical algorithm and propose an experimental setup for implementing the derivative of one-dimensional real-valued functions using a paraxial and monochromatic laser beam. To complement the differentiation algorithm, we have experimentally implemented a novel optical algorithm that can transfer a two-dimensional phase-encoded function to the intensity profile of a light beam. Additionally, we demonstrate how to implement the n-th derivative of functions encoded in the phase of the transverse profile of photons.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
