Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry

2006 ◽  
Vol 31 (13) ◽  
pp. 1966 ◽  
Author(s):  
X. F. Xu ◽  
L. Z. Cai ◽  
X. F. Meng ◽  
G. Y. Dong ◽  
X. X. Shen
Keyword(s):  
Phase Shifts ◽  
Phase Shifting ◽  
Phase Shifting Interferometry ◽  
Unknown Phase ◽  
Blind Extraction

scholarly journals Novel Generalized Three-Step Phase-Shifting Interferometry with a Slight-Tilt Reference

2019 ◽  
Vol 9 (23) ◽  
pp. 5015
Author(s):  
Xianfeng Xu ◽  
Tianyu Ma ◽  
Zhiyong Jiao ◽  
Liang Xu ◽  
Dejun Dai ◽  
...  
Keyword(s):  
Numerical Simulations ◽  
Tilt Angle ◽  
Phase Shifts ◽  
Phase Shifting ◽  
Object Wave ◽  
Digital Recording ◽  
Powerful Method ◽  
Phase Shifting Interferometry ◽  
Unknown Phase

A convenient and powerful method is proposed and presented to find the unknown phase shifts in three-step generalized phase-shifting interferometry. A slight-tilt reference of 0.1 degrees is employed. As a result, the developed theory shows that the unknown phase shifts can be simply extracted by subtraction operations. Also, from the theory developed, the tilt angle of the tilt reference can also be calculated, which is important as it allows us to extract the object wave precisely. Numerical simulations and optical experiments were performed to demonstrate the validity and efficiency of the proposed method. The proposed slight-tilt reference allows the full and efficient use of the space-bandwidth product of the limited resolution of digital recording devices as compared to the situation in standard off-axis holography where typically several degrees for off-axis angle is employed.

Phase-shifting interferometry with uncalibrated phase shifts

2000 ◽  
Vol 39 (4) ◽  
pp. 585 ◽  
Author(s):  
Xin Chen ◽  
Maureen Gramaglia ◽  
John A. Yeazell
Keyword(s):  
Phase Shifts ◽  
Phase Shifting ◽  
Phase Shifting Interferometry

scholarly journals Phase shifts in the Fourier spectra of phase gratings and phase grids: an application for one-shot phase-shifting interferometry

2008 ◽  
Vol 16 (23) ◽  
pp. 19330 ◽  
Author(s):  
Noel-Ivan Toto-Arellano ◽  
Gustavo Rodriguez-Zurita ◽  
Cruz Meneses-Fabian ◽  
Jose F. Vazquez-Castillo
Keyword(s):  
Phase Shifts ◽  
Phase Shifting ◽  
Phase Shifting Interferometry ◽  
Fourier Spectra

Fast phase retrieval with four-quadrant analysis in phase-shifting interferometry with blind phase shifts

2018 ◽  
Vol 407 ◽  
pp. 169-174 ◽  
Author(s):  
Yuanyuan Xu ◽  
Yawei Wang ◽  
Hao Han ◽  
Jingye Liu ◽  
Ying Ji ◽  
...  
Keyword(s):  
Phase Retrieval ◽  
Phase Shifts ◽  
Phase Shifting ◽  
Quadrant Analysis ◽  
Fast Phase ◽  
Phase Shifting Interferometry ◽  
Four Quadrant
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