Zero difference algorithm for phase shift extraction in blind phase-shifting holography

Abstract

A simple noniterative algorithm for retrieval of the unknown phase shifts in phase-shifting holography is proposed. In this algorithm, the phase shift value between two phase-shifting holograms can be calculated through a simple analytical formula that is derived according to the fact that there exist some points whose intensity difference between two phase-shifting holograms is equal to zero. Both the simulated and experimental results demonstrated the feasibility of this so-called zero difference algorithm over a wide range of phase shifts.

A derivative method of phase retrieval based on two interferograms with an unknown phase shift

“…Recently, some two-step phase retrieval algorithms with an unknown phase shift have been reported [11][12][13][14][15][16][17][18][19]. For example, based on the statistical nature that the phase distribution of the object wave is random, Cai et al [11,12] derived some different kinds of algorithms to compute the phase shift and then retrieve the information related to the object wave.…”

Advanced method of phase shift measurement from variances of interferogram differences

“…Many methods for phase-shift estimation by analyzing a number of shifted fringe patterns have been published [2][3][4][5][6][7][8][9][10][11]. Among them are works [2][3][4][5][6][7] relating to generalized interferometry and holography.…”

“…Among them are works [2][3][4][5][6][7] relating to generalized interferometry and holography. This group of algorithms for determining the phase shift is generally based on an iterative least-squares procedure and is time-consuming.…”

The vector projection of normalized interferogram differences and its application in phase-shift estimation

“…However, because of the requirement of filtering process in advance to eliminate the backgrounds of these two interferograms, obtained accuracy of two-step algorithms will decrease due to the bad performance of filtering. Furthermore, this kind of algorithm will be invalid when the phase shift is close to π [9][10][11][12][13][14].…”