Abstract
Traditional four-bucket method for sinusoidal phase shifting interferometry (PSI) assumes the integration time Ts to be equal to a quarter of the modulation period Tc. As some image sensors need certain vacant time between two integrations, this assumption makes it somehow unrealistic to perform one measurement within a modulation period. Addressing this problem we investigated the four-integrating-bucket method with a shortened exposure time. We assume Ts to be any value between 0 and Tc/4 such that there would be some time between two adjacent integrations and the measurement can be fulfilled in one modulation period. The optimum modulation depth and phase offset of the sinusoidal modulation are deduced for different Ts by minimizing xthe phase noise induced by additive noise. It is found that the optimum modulation depth is always around 2.45 whatever the value of Ts is. What is more, decreasing the integration time to less than Tc/4 helps to improve the fringe visibility as well and to further reduce the phase noise by up to 2.5 dB at most, which are demonstrated by both simulation and experiment.
Published Version
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