光电工程, 2014, 41 (6): 87, 网络出版: 2014-06-30
Gyrator变换计算全息图及其新型编码方法
Computer Generated Hologram of Gyrator Transform and Its New Type Encoding Method
计算全息图 gyrator变换 gyrator变换全息图 相位编码 相位量化 computer-generated hologram gyrator transform gyrator transform hologram phase encoding phase quantization
摘要
基于 gyrator变换数值算法和计算全息理论提出了 gyrator变换计算全息图, 采用罗曼编码方法制作出了在不同变换角度下的 gyrator变换计算全息图并实现了相应的数字再现, 其再现规律与相关文献报道的 gyrator变换全息图的再现规律一致, 表明制作 gyrator变换计算全息图是可行的。在此基础上提出了一种新的计算全息编码方法即梯形等效面积编码方法, 该方法能有效提高在单个抽样单元中进行相位编码时的相位量化级数。应用该编码方法完成了傅里叶变换计算全息图的产生和数字再现的仿真实验,实验表明采用新型编码方法的离轴物体的计算全息图能实现零级衍射成像。采用新型编码方法也实现了 gyrator变换计算全息图的产生和数字再现的仿真实验。上述实验结果表明本文提出的新型编码方法是可行的和有效的。
Abstract
The Computer Generated Hologram of Gyrator Transform (GT-CGH) is proposed based on the numerical algorithm of gyrator transform (GT) and the theory of Computer Generated Hologram (CGH). The Lohmann coding method is applied to produce the GT-CGHs at different transform angles. Their digital reconstructions are also realized respectively. The rules of reconstructions are consistent with the GT hologram reported in the relevant paper, which shows that it is feasible to create the GT-CGH. A novel encoding method, encoding by equivalent area of trapezium, is proposed for the CGH. This method can be effective to increase the phase quantization order in a single sampling unit.The simulation experiments of the creation and digital reconstruction are performed on CGH of Fourier Transform (FT-CGH) with the new encoding method. The results show that the reconstruction of the off-axis CGH at the 0th order diffraction can be realized by the application of new method. By using the new method, the production and the digital reconstruction of GT-CGH are also realized. The experimental results above all demonstrate the feasibility and validity of the proposed new type encoding method for the CGH.
林睿. Gyrator变换计算全息图及其新型编码方法[J]. 光电工程, 2014, 41(6): 87. LIN Rui. Computer Generated Hologram of Gyrator Transform and Its New Type Encoding Method[J]. Opto-Electronic Engineering, 2014, 41(6): 87.