A rapid and precise phase extraction method is proposed for single interference fringe pattern.The method named the central five points uses five points of single linear interference fringe to calculate the phase,i.e.the maximum point,the nearest minimum on both sides of the maximum point,and the two intermediate points between the three points mentioned above.The numerical simulation results show that the results of the central five points method are more consistent with the phase shifting interferometry than those of the Fast Fourier Transform (FFT) method and the Hilbert transform twice method with or without noise.Compared with the Hilbert transform twice,there are less expansion bits of process data.Compared with the FFT method,there is no multiplier involved and no need to store a large amount of data.In addition,using the method has no need to suppress the DC component of interference fringes,thus simplifying the calculation further.Experimental results show that using the central five points method to deal with the single linear interference fringe before and after suppressing the DC component,the phase accuracy difference is only about 9.55×10-5.The relative resolution of the fringe phase is the same as that of the FFT method,and is about 2.26 % different from the Hilbert transform twice.The central five points method,the FFTmethod and the Hilbert transform twice are realized by taking advantage of FPGA,the former can save 27 % and 22 % of logic utilization and 469 % and 5 % faster than the latter two.
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郗洪柱,孔德仁,王伟魁,乐贵高.基于五点法的单幅光学干涉条纹相位提取[J].激光与红外,2020,50(8):1002~1008 XI Hong-zhu, KONG De-ren, WANG Wei-kui, LE Gui-gao. Phase extraction for single interference fringe based on five points method[J]. LASER & INFRARED,2020,50(8):1002~1008