scholarly journals An advanced phase retrieval algorithm in N-step phase-shifting interferometry with unknown phase shifts

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Jiaosheng Li ◽  
Liyun Zhong ◽  
Shengde Liu ◽  
Yunfei Zhou ◽  
Jie Xu ◽  
...  
Keyword(s):  
Phase Retrieval ◽  
Phase Shifts ◽  
Phase Shifting ◽  
Retrieval Algorithm ◽  
Phase Shifting Interferometry ◽  
Unknown Phase ◽  
Advanced Phase ◽  
Phase Retrieval Algorithm

Phase-shifting digital holography with an unknown reference beam

2021 ◽  
Author(s):  
Roghayeh Yazdani ◽  
Hamidreza Fallah
Keyword(s):  
Digital Holography ◽  
Phase Retrieval ◽  
Reference Beam ◽  
Phase Shifting ◽  
Retrieval Algorithm ◽  
Reference Field ◽  
Digital Holograms ◽  
Noisy Conditions ◽  
Phase Retrieval Algorithm

In digital holography, errors of the reference field degrade the quality of the reconstructed object field. In this paper, we propose an effective method in phase-shifting digital holography in which the reference field does not need to be known and perfect. The unknown complex amplitudes of both reference and object fields are derived simultaneously. The method employs only five digital holograms and a single execution of a phase retrieval algorithm. So, the required measurements and algorithm executions in this method are fewer than those in other methods; it suggests a simpler and faster method. The effectiveness of the suggested method is indicated by simulation, under noise-free and noisy conditions. Moreover, the capability of the method to extract full information about the phase singularities in both fields is demonstrated.

A new phase retrieval algorithm with pure generalized three-step phase-shifting under matrix norm processing

2019 ◽  
Vol 66 (11) ◽  
pp. 1252-1258 ◽  
Author(s):  
Hao Han ◽  
Yawei Wang ◽  
Yuanyuan Xu ◽  
Ying Ji ◽  
Bing Xie ◽  
...  
Keyword(s):  
Phase Retrieval ◽  
Matrix Norm ◽  
Phase Shifting ◽  
Retrieval Algorithm ◽  
New Phase ◽  
Phase Retrieval Algorithm

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

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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