基于瑞丽索末菲衍射的逆向设计实现光学全息

Realization of Optical Holography by Reverse Design Based on Riley-Sommerfeld Diffraction

摘要: 光学全息对显微镜、光学信息存储、激光加工、光学防伪等领域的应用，具有重要的研究价值。传统的计算光学全息相位的方法主要基于(Gerchberg-Saxton)算法，利用这种方法可以实现多种多样的优化的光学全息，实现对光场的自由操控。然而，这种方法利用光学快速傅里叶变换，不可避免地会出现零级衍射，极大地降低了全息的光强度，也影响了全息成像的质量。本文提出并实现了基于瑞丽索末菲衍射的逆向设计实现光学全息的方法。针对全息计算目标，本文定义了特殊的损失函数，从理论上实现了具有高衍射效率的离散光场和非离散光场的全息计算。本文的研究成果对逆向设计在光学全息的应用，如光学信息存储、激光加工等领域具有重要的研究价值。

Abstract: Optical holography is of great significance for applications in microscopy, optical information storage, laser processing, optical anti-counterfeiting, and other fields. The traditional method of calculating the phase of optical holography is mainly based on the (Gerchberg-Saxton) algorithm, using which a wide variety of optimized optical holography can be realized to achieve free manipulation of the light field. However, this method utilizes the optical fast Fourier transform, which inevitably results in zero-level diffraction, which greatly reduces the optical intensity of the holography and also affects the quality of the holographic imaging. In this paper, we propose and implement a method to achieve optical holography based on the inverse design of Riley-Sommerfeld diffraction. For the holographic computation objective, this paper defines a special loss function and theoretically realizes the holographic computation of discrete and non-discrete optical fields with high diffraction efficiency. The research results of this paper have important research value for the application of inverse design in optical holography, such as optical information storage, laser processing, and other fields.