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用全息原理和方法研究相移相位测量,得到了N步整周期相移再现物光波复振幅同步叠加函数(N步相移函数),同时提出一种新的相移相位测量误差分析和最大误差估计方法。N步相移干涉图是以理想平行光为参考光的无衍射同轴全息图,将其与对应的相移参考光相乘后求和得到N步相移函数;在理想情况下,这是一种复振幅分离、测量和物光波复振幅函数同步叠加方法,存在误差时计算出的相位是最小二乘方法的最佳期望结果。利用N步相移函数得到的N+1步相移函数,说明非理想N步相移函数是理想N步相移函数与误差函数之和,可以把相位型误差转化为与振幅和强度相对误差同等的误差来对待,降低了相位测量中误差估计的难度,给出了N步相移算法最大误差的估计方法和公式。
The holographic principle and method are used to study the phase-shift phase measurement. The synchronic multiplication function (N-step phase shift function) of the N-phase full-amplitude phase-shifted reconstructed object is obtained. Meanwhile, a new phase error analysis and maximum error Estimation method. The N-step phase shift interferogram is a nondiffracting coaxial hologram with perfect parallel light as the reference light, which is multiplied by the corresponding phase-shifted reference light to obtain the N-step phase shift function. In the ideal case, this is A method of complex amplitude separation, measurement, and object-light complex amplitude function synchronization superimposition method, the phase expected in the presence of error is the best expected result of the least square method. Using the N + 1-step phase shift function obtained from the N-phase phase shift function, it is shown that the non-ideal N-phase phase shift function is the sum of the ideal N-phase phase shift function and the error function, and the phase-type error can be transformed into a relative error with amplitude and intensity The same error is treated, the difficulty of the error estimation in the phase measurement is reduced, and the estimation method and the formula of the maximum error of the N-step phase shift algorithm are given.