散斑场复解析信号表征的研究进展  

Research progress of complex analytic signal representation of speckle field

作　　者：孙海滨[1] 刘婷婷[1] 孙平[2] 

机构地区：[1]泰山学院物理与电子工程学院,山东泰安271021 [2]山东师范大学物理与电子科学学院,济南250014

出　　处：《激光杂志》2018年第1期14-19,共6页Laser Journal

基　　金：山东省自然科学基金资助项目(No.ZR2017LA010、ZR2017MA038)

摘　　要：散斑场中存在的涡旋点包含着丰富的散斑场相位信息,决定了散斑场的分布。从数学上来看,散斑图像是实值函数。利用希尔伯特变换,拉盖尔——高斯变换等数学变换可以实现实值散斑图像的复信号表征。散斑图像的复信号表征包含了相应的相位信息,利用该相位可以进行相关的研究。主要介绍了散斑图像及类散斑图像的复信号表征,准斯托克斯矢量相关,二维实值信号的矢量表征等的研究及其应用。散斑场的复解析信号表征可以有效拓展散斑干涉测量的研究路径。There are many optical vortices in the speckle field. These vortex points contain wealth information of speckle field＇ s phase. The phase determines the distribution of speckle field. Mathematically, speckle image is a real -valued function. Complex analytic signal representation of real-valued speckle image can be realized by using Hilbert transform, Laguerre-Gaussian transformation, and so on. Complex signal representation of the speckle image contains corresponding phase information, which can be used to carry out the relevant study. Complex analytic signal represen- tation of real-valued speckle image and speckle-like pattern, pseudo-Stokes vector correlation, vector signal repre- sentation of two dimensional speckle pattern are introduced. The complex analytic signal representation of speckle field can effectively expand the research path of speckle interferometry.

关 键 词：物理光学 散斑场 复解析信号 准相位 

分 类 号：O436.1[机械工程—光学工程]