A complete complex amplitude reconstruction method for the determination of the laser beam quality factor M based on the multiple exposure of a quadriwave lateral shearing interferometer (QWLSI) is presented. The theoretical analysis and simulation of the influence of the information in the small signal area on the calculation of the M factor is provided. The experimental results demonstrate that the new method can be an accurate means to measure the M factor. The proposed method can avoid the influence of phase inaccuracy in the small signal area of the interferogram, during the measurement of the M factor.
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