The piston error is a phase error present in multi-element optical systems, such as coherent beam combining systems and optical synthetic aperture telescopes. It can be extracted from the interference pattern generated by a lens placed between adjacent sub-apertures. In this paper, we present the results of three piston error extraction methods based on interference patterns: the correlation coefficient method, the peak ratio method, and the peak shift method. Through a series of simulations, the piston error detection accuracy of the three methods is compared, considering multiple error sources: aberration of sub-apertures, Gaussian noise in the measured interference pattern, and offset of lens; the causes for the influence of different error sources on these three methods are analyzed. The advantage of the comparison consists in the fact that it reveals the strengths and limitations of each method and can provide a reference for the selection and improvement of piston error extraction methods in multi-element optical systems working under different conditions.
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Li, X., Yang, X., Wang, S. et al. Performance Comparison of Piston Error Extraction Methods from Interference Patterns. J Russ Laser Res 43, 634–643 (2022). https://doi.org/10.1007/s10946-022-10090-x
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DOI: https://doi.org/10.1007/s10946-022-10090-x