Optimization algorithm for amplitude-only hologram based on digital micromirror device

Ming-xing Zhou, Yun Chen, Jianhong Wu
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Abstract

An optimization algorithm for binary amplitude-only hologram (BAOH) based on the point source method (PSM) with the holographic viewing window (HVW) by using particle swarm optimization (PSO) is proposed. We convert the 256 grayscale levels of each pixel of the original image into an 8-bit binary format and sequentially extract the effective bits of each pixel to generate eight frames of binary original images. Then we introduce random constant phases to be optimized on the wavefront phase of the point source to superimpose the wavefront and generate a grayscale hologram with Burch encoding and binarize it. PSO algorithm is used to search for the optimized constant phase (OCPs) corresponding to each point source wavefront to generate an optimized BAOH. The grayscale representation of the reconstructed image is achieved by sequentially loading eight frames of BAOH on the digital micromirror device (DMD) while controlling the pulse width doubling the illumination of the laser. Simulation results show that the speckle noise of the reconstructed image using the proposed method is significantly suppressed compared with that using the random phase method (RPM), which demonstrates the feasibility of the proposed method.
基于数字微镜器件的纯幅全息图优化算法
提出了一种基于点源法(PSM)和全息观测窗(HVW)的二元纯幅全息图(BAOH)优化算法。我们将原始图像每个像素的256个灰度级转换为8位二进制格式,并依次提取每个像素的有效位,生成8帧二进制原始图像。然后在点源的波前相位上引入待优化的随机常数相位,叠加波前,生成灰度全息图,进行伯奇编码并二值化。采用粒子群算法搜索各点源波前对应的最优恒相位(ocp),生成最优BAOH。通过在数字微镜器件(DMD)上依次加载8帧BAOH,同时控制脉冲宽度使激光照度加倍,实现了重建图像的灰度表示。仿真结果表明,与随机相位法(RPM)相比,该方法能明显抑制重构图像的散斑噪声,证明了该方法的可行性。
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