Acta Optica Sinica, Volume. 26, Issue 9, 1367(2006)
Holographic Reconstructing Algorithm and Its Error Analysis about PhaseShifting Phase Measurement
Phaseshifting phase measurement is studied according to the holographic principle and method, a function of synchronous superposition of object complex amplitude reconstructed from Nstep phaseshifting through one integral period is proposed, and Nstep phaseshifting function is for short. Meanwhile, a novel error analysis and maximum error evaluation method for phaseshifting phase measurement is presented. In Nstep phaseshifting phase measurement, the interferograms are seen as a series of inline holograms without diffraction and the reference beam is an ideal parallelplane wave. So the Nstep phaseshifting function can be obtained by summing after multiplying the interferogram by the original reference wave. In the ideal condition, the proposed method is a kind of synchronous superposition algorithm in which the complex amplitude is separated, measured and superposed. When error exists in measurement, the result from Nshifting function is the optimal expected value of the leastsquares fitting algorithm. In the above method, N+1step phaseshifting function can be obtained from Nstep phaseshifting function, indicating that the Nstep phaseshifting function can be separated into two parts: the ideal Nstep phaseshifting function and its errors. The phaseshifting errors in Nstep phaseshifting phase measurement can be treated as same as the errors of amplitude and intensity under understanding of N+1step phaseshifting function. The difficulties of the error evaluation in phaseshifting phase measurement are depressed by this error evaluation method. Meanwhile the maximum error evaluation method of phaseshifting phase measurement and its formula are proposed.
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[in Chinese], [in Chinese], [in Chinese]. Holographic Reconstructing Algorithm and Its Error Analysis about PhaseShifting Phase Measurement[J]. Acta Optica Sinica, 2006, 26(9): 1367