Wu Xuecheng, Wu Yingchun, Yang Jing, Wang Zhihua, Zhou Binwu, Gréhan Gérard, Cen Kefa
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou 310027, China.
Opt Express. 2013 May 20;21(10):12803-14. doi: 10.1364/OE.21.012803.
Application of the modified convolution method to reconstruct digital inline holography of particle illuminated by an elliptical Gaussian beam is investigated. Based on the analysis on the formation of particle hologram using the Collins formula, the convolution method is modified to compensate the astigmatism by adding two scaling factors. Both simulated and experimental holograms of transparent droplets and opaque particles are used to test the algorithm, and the reconstructed images are compared with that using FRFT reconstruction. Results show that the modified convolution method can accurately reconstruct the particle image. This method has an advantage that the reconstructed images in different depth positions have the same size and resolution with the hologram. This work shows that digital inline holography has great potential in particle diagnostics in curvature containers.
研究了改进的卷积方法在重建由椭圆高斯光束照明的粒子数字同轴全息图中的应用。基于使用柯林斯公式对粒子全息图形成的分析，通过添加两个缩放因子对卷积方法进行改进以补偿像散。使用透明液滴和不透明粒子的模拟全息图和实验全息图来测试该算法，并将重建图像与使用分数傅里叶变换（FRFT）重建的图像进行比较。结果表明，改进的卷积方法能够准确地重建粒子图像。该方法的优点是在不同深度位置的重建图像与全息图具有相同的尺寸和分辨率。这项工作表明数字同轴全息术在弯曲容器中的粒子诊断方面具有巨大潜力。
