Sando Yusuke, Satoh Kazuo, Barada Daisuke, Yatagai Toyohiko
Appl Opt. 2020 Sep 20;59(27):8211-8216. doi: 10.1364/AO.401770.
Convex-parabolic-mirror reflection enables a very wide viewing zone in a holographic three-dimensional (3D) display. In this work, segmentation is introduced to reduce the calculation time of holograms in a convex-parabolic-mirror-reflection holographic 3D display. Wavefront segmentation can practically limit the lateral spread of the wavefront to be considered, which enables the application of geometrical approximation and conventional diffraction theories such as Fresnel diffraction. Thus, diffraction calculation via the convex parabolic mirror can be derived analytically and calculated rapidly using fast Fourier transform (FFT). Our proposed FFT-based method can calculate the diffraction integral 7000 times faster than our previous method, which involved calculating directly the diffraction integral without FFT. In addition, numerical simulation and an optical experiment are presented to verify our proposal.
凸抛物面镜反射能够在全息三维（3D）显示器中实现非常宽的观看区域。在这项工作中，引入了分割技术以减少凸抛物面镜反射全息3D显示器中全息图的计算时间。波前分割实际上可以限制要考虑的波前的横向扩展，这使得能够应用几何近似和诸如菲涅耳衍射之类的传统衍射理论。因此，通过凸抛物面镜的衍射计算可以通过解析推导得出，并使用快速傅里叶变换（FFT）快速计算。我们提出的基于FFT的方法比我们之前的方法计算衍射积分的速度快7000倍，之前的方法是直接计算衍射积分而不使用FFT。此外，还进行了数值模拟和光学实验来验证我们的提议。
