Abstract
It is known that the cumbersome 2π correction is needed in the traditional module-2π method (i.e.,the phase wrapping method) due to the 2π deviation of the phase modulation depth of spatial light modulators (SLMs). To avoid the cumbersome 2π correction in the module-2π method, this paper proposes a module-n π method, and it can directly utilize any full-field phase modulation depth. First, for a Gaussian phase with a phase depth of 30rad, wrapped by the module-3.6π, it is reconstructed with the root-mean-square (RMS) values of its phase response are 0.1006λ (for the Twyman-Green interferometer) and 0.1101λ (for the Shack-Hartmann wavefront sensor method), respectively, which proves that the monitoring accuracy is relatively consistent. Subsequently, some comparative experiments based on the traditional module-2π are performed. The experimental results show that the RMS values of its phase response are 0.8886λ (for a modulation depth of 11.3rad) and 0.2261λ (for a modulation depth of 6.28rad), respectively. All the results have proved that the SLM with a phase modulation depth exceeding 2π (e.g.,11.3rad) has more prominent advantages. More specifically, increasing the SLM's phase modulation depth can effectively reduce the fringe orders of the wrapped patterns generated by the module-n π method. With the further reduction of the fringe orders, the influence of the fly-back zone error on the wavefront phase modulation is reduced, that is, the modulation accuracy is improved (the RMS values are reduced from 0.2261λ to 0.1006λ). Different from the traditional module-2π method, there is no need to consider the problems of the SLMs' over modulation or the insufficient modulation in the module-n π method. Furthermore, it avoids the cumbersome 2π correction process, which will make the use of the SLM more convenient.
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