Velez-Zea Alejandro, Fredy Barrera-Ramírez John, Torroba Roberto
Appl Opt. 2022 Apr 10;61(11):3230-3239. doi: 10.1364/AO.454089.
We demonstrate the generation of phase holograms of multiple 3D objects at different axial positions without cross talk and significant improvements in performance over conventional methods. We first obtain the phase hologram of two 3D objects, each one comprising 50 layers, using the global Gerchberg-Saxton algorithm. Then, we discuss and demonstrate a propagation approach based on the singular value decomposition of the Fresnel impulse response function that enables fast computation of small distance propagations. Finally, we propose a new iterative hologram generation algorithm, to the best of our knowledge, that takes advantage of this propagation approach and use it to make the hologram of the same scene previously obtained with the global Gerchberg-Saxton algorithm. We perform numerical and experimental reconstructions to compare both methods, demonstrating that our proposal achieves 4 times faster computation, as well as improved reconstruction quality.
我们展示了在不同轴向位置生成多个三维物体的相位全息图，且无串扰，与传统方法相比性能有显著提升。我们首先使用全局格尔奇贝格 - 萨克斯顿算法获得两个三维物体的相位全息图，每个物体由50层组成。然后，我们讨论并展示了一种基于菲涅耳脉冲响应函数奇异值分解的传播方法，该方法能够快速计算小距离传播。最后，据我们所知，我们提出了一种新的迭代全息图生成算法，该算法利用这种传播方法来制作先前用全局格尔奇贝格 - 萨克斯顿算法获得的同一场景的全息图。我们进行了数值和实验重建以比较这两种方法，结果表明我们的方法计算速度提高了4倍，同时重建质量也有所提高。
