• Acta Optica Sinica
  • Vol. 41, Issue 3, 0312003 (2021)
Yu Zhang*
DOI: 10.3788/AOS202141.0312003 Cite this Article Set citation alerts
Yu Zhang. Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method[J]. Acta Optica Sinica, 2021, 41(3): 0312003 Copy Citation Text show less
Simulated phase distribution and two phase shifted interferograms. (a) Theoretical phase distribution; (b) first and (c) second interferograms
Fig. 1. 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
Fig. 2. Phase distributions extracted by different phase shifting algorithms in three different situations
Phase error distributions of different phase shifting algorithms in three different situations
Fig. 3. Phase error distributions of different phase shifting algorithms in three different situations
Iterative curves of different phase shifting algorithms in three different situations
Fig. 4. 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
Fig. 5. 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
Fig. 6. 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
Fig. 7. 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
Fig. 8. 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
Fig. 9. 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
Fig. 10. Experimental results of different algorithms. (a)--(f) Phase distributions; (g)--(l) phase error distributions; (m)--(o) iterative curves
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
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
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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