Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification

2007 ◽  
Vol 90 (12) ◽  
pp. 121124 ◽  
Author(s):  
X. F. Xu ◽  
L. Z. Cai ◽  
Y. R. Wang ◽  
X. L. Yang ◽  
X. F. Meng ◽  
...  
Keyword(s):  
Phase Shift ◽  
Wave Front ◽  
Experimental Verification ◽  
Phase Shifts ◽  
Phase Shifting ◽  
Direct Wave ◽  
Phase Shifting Interferometry ◽  
Unknown Phase

Blind phase shift extraction and wavefront retrieval by two-frame phase-shifting interferometry with an unknown phase shift

2007 ◽  
Vol 273 (1) ◽  
pp. 54-59 ◽  
Author(s):  
X.F. Xu ◽  
L.Z. Cai ◽  
Y.R. Wang ◽  
X.F. Meng ◽  
H. Zhang ◽  
...  
Keyword(s):  
Phase Shift ◽  
Phase Shifting ◽  
Phase Shifting Interferometry ◽  
Unknown Phase

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.

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