Acta Optica Sinica, Volume. 41, Issue 3, 0312003(2021)

Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method

Yu Zhang*
Figures & Tables(11)
Simulated phase distribution and two phase shifted interferograms. (a) Theoretical phase distribution; (b) first and (c) second interferograms
Phase distributions extracted by different phase shifting algorithms in three different situations
Phase error distributions of different phase shifting algorithms in three different situations
Iterative curves of different phase shifting algorithms in three different situations
RMS phase errors and computational time of different algorithms in three different situations. (a) RMS phase errors; (b) computational time
Simulation results of SD2&FLSA with different numbers of chosen pixels when size of interferogram is 401 pixel×401 pixel. (a) Number of iterations; (b) computational time; (c) RMS phase error; (c) phase shifting error
Simulation results of SD2&FLSA with different numbers of chosen pixels when size of interferogram is 801 pixel×801 pixel. (a) Computational time; (b) RMS phase error
RMS phase errors of SD2&FLSA with different phase shifts in six different situations
Experimental phase shifted interferograms and phase distribution. (a) First and (b) second interferograms; (c) reference phase distribution extracted by four-step phase shifting algorithm
Experimental results of different algorithms. (a)--(f) Phase distributions; (g)--(l) phase error distributions; (m)--(o) iterative curves
  • Table 1. PV and RMS values of phase distributions extracted by different algorithms as well as RMS phase errors and computational time of different algorithms

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    Table 1. PV and RMS values of phase distributions extracted by different algorithms as well as RMS phase errors and computational time of different algorithms

    ParameterSD1SD2GSSD1&FLSASD2&FLSAGS&FLSA
    Phase PV value /rad43.918144.052943.918043.819343.819343.8193
    Phase RMS value /rad8.86408.91788.86398.93398.93398.9339
    RMS phase error /rad0.14480.14340.14490.08100.08100.0810
    Time /s3.772.613.783.842.673.84
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Yu Zhang. Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method[J]. Acta Optica Sinica, 2021, 41(3): 0312003

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Jul. 30, 2020

Accepted: Sep. 10, 2020

Published Online: Feb. 28, 2021

The Author Email: Zhang Yu (521zhangyu2008@163.com)

DOI:10.3788/AOS202141.0312003

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