同轴全息术用于粒子场测量的数值模拟
Simulation analysis of in-line digital holography for particles measurement
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摘要: 采用数值方法模拟了同轴全息术测量粒子场的过程，对两种不同的数值算法＿直接傅里叶变换算法和卷积算法，进行了分析和比较，结果表明卷积算法符合实际要求。分析了记录图像的空间频谱及其对图像采样频率的要求，得出了在记录波长、采样间隔等条件一定的情况下的最小记录距离。对于一幅512×512像素的数字图像，若像元尺寸为6.7 μm，所用光波长为532 nm，则最小记录距离为43.2 mm。在此基础上对实验记录的振幅和相位型静态粒子的数字全息图，均得到了满意的数值再现像。Abstract: In particle measurement, in-line holography is widely used. The main advantage is that the setup is very simple, and the reconstruction process is convenient. The process of particle measurement using digital holography was numerically simulated. Two different numerical methods, direct Fourier transform algorithm and convolution algorithm, were analyzed and compared. It is shown that the convolution algorithm tallies with the practice requirement. The spatial spectra of the recorded image and its requirement for sampling frequency of the image are analyzed, from which the smallest recording distance under certain wavelength and sampling interval is obained. For an image with 512×512 pixels, if the size of one pixel is 6.7 μm and the wavelength is 532 nm, the minimum distance is 43.2 mm.
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