Accurate Phase Shift Extraction for Generalized Phase-Shifting Interferometry

An accurate phase shift extraction method for generalized phase-shifting interferometry is suggested. Based on the nearly random phase distribution of the diffraction field of the object, a singular formula is derived to calculate the unknown phase shift without the requirements of an iteration process or the selection of the correct value from two or more possible phase shift solutions as needed before. This method can be used in the cases of two or more frames with both smooth and diffusing object surfaces. Computer simulations and optical experiments have satisfactorily verified the efficiency and accuracy of this method.

[1]  L Z Cai,et al.  Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects. , 2004, Optics letters.

[2]  Pramod Rastogi,et al.  Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry. , 2007, Applied optics.

[3]  Ruikang K. Wang,et al.  Arbitrary Three-Phase Shifting Algorithm for Achieving Full Range Spectral Optical Coherence Tomography , 2006 .

[4]  G. Stoilov,et al.  Phase-stepping interferometry: Five-frame algorithm with an arbitrary step , 1997 .

[5]  L. Cai,et al.  Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps. , 2003, Optics letters.

[6]  Dynamic Phase-Mapping of Domain Nucleation in MgO:LiNbO 3 Crystal by Digital Holographic Interferometry , 2007 .

[7]  Hui-Tian Wang,et al.  Phase-shifting error and its elimination in phase-shifting digital holography. , 2002, Optics letters.

[8]  T. Yatagai,et al.  Generalized phase-shifting interferometry , 1991 .

[9]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[10]  R. W. Lawrence,et al.  Digital Image Formation From Electronically Detected Holograms , 1967 .

[11]  Shuqun Zhang,et al.  A non-iterative method for phase-shift estimation and wave-front reconstruction in phase-shifting digital holography , 2006 .

[12]  Baoli Yao,et al.  Phase-shift extraction for generalized phase-shifting interferometry. , 2009, Optics letters.

[13]  Pramod Rastogi,et al.  Generalized phase-shifting interferometry by use of a direct stochastic algorithm for global search. , 2004, Optics letters.

[14]  Domenico Alfieri,et al.  Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms. , 2004, Optics letters.

[15]  Left-Handed Properties in Two-Dimensional Photonic Crystals Formed by Holographic Lithography , 2008 .

[16]  L. Cai,et al.  Reply to comment on “Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps” , 2004 .

[17]  Y. R. Wang,et al.  Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification , 2007 .

[18]  John E. Greivenkamp,et al.  Generalized Data Reduction For Heterodyne Interferometry , 1984 .

[19]  M. Menu,et al.  Effects of lens aberrations in some experiments of speckle interferometry , 1979 .

[20]  Paul Taylor,et al.  Multiphase fringe analysis with unknown phase shifts , 1994 .

[21]  L Z Cai,et al.  Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry. , 2006, Optics letters.

[22]  Changhui Rao,et al.  Phase-shifts n pi/2 calibration method for phase-stepping interferometry. , 2009, Optics express.

[23]  Li-qun Chai,et al.  An iterative algorithm for interferograms with random phase shifts and high-order harmonics , 2008 .

[24]  Jiancheng Xu,et al.  Tilt-shift determination and compensation in phase-shifting interferometry , 2008 .