Zhou Zhenxing, Wang Jun, Wu Yang, Jin Fengming, Zhang Zekun, Ma Yifan, Chen Ni
Opt Express. 2021 Jul 19;29(15):22931-22943. doi: 10.1364/OE.430604.
Recently, cylindrical holographic display technology as a 360-degree display technology has attracted much attention. However, all the studies are based on the field of view (FOV) in the azimuth direction, and the issue of FOV in the vertical direction has never been discussed. In this paper, a new holographic display is proposed to expand the vertical FOV by a conical holographic diffraction model, in which the object plane is the outer cylinder and the observation plane is a part of the cone. In this proposed method, the proposed diffraction model is firstly established by the Rayleigh-Sommerfeld diffraction formula, and then the convolution and FFT are used for a fast diffraction calculation. The correctness and effectiveness of our proposed method are verified by the simulation of Young's interference and the numerical reconstructions from the complex amplitude and encoded holograms, respectively. In addition, an accurate relationship between the conical inclination angle and the vertical FOV expansion is analyzed, and the simulation results show that our proposed method can significantly expand the vertical FOV by 0.4 of the original object. Therefore, the issue of the vertical FOV in cylindrical holography is deeply discussed and successfully addressed for the first time.
近年来,柱面全息显示技术作为一种360度显示技术备受关注。然而,所有研究均基于方位角方向的视场(FOV),而垂直方向的视场问题从未被探讨过。本文提出一种新型全息显示,通过锥形全息衍射模型扩展垂直视场,其中物平面为外圆柱面,观察平面为圆锥的一部分。在该方法中,首先利用瑞利 - 索末菲衍射公式建立所提出的衍射模型,然后使用卷积和快速傅里叶变换(FFT)进行快速衍射计算。分别通过杨氏干涉模拟以及从复振幅和编码全息图进行的数值重建,验证了所提方法的正确性和有效性。此外,分析了圆锥倾斜角与垂直视场扩展之间的精确关系,模拟结果表明,所提方法可将垂直视场显著扩展至原始物体的0.4倍。因此,首次深入探讨并成功解决了柱面全息术中垂直视场的问题。