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Random phase errors due to atmospheric fluctuations are a ubiquitous challenge for ground based optical imaging interferometers. We present methods for dealing with these atmospheric phase errors to improve image reconstruction algorithms. The first method utilizes a scale-and-linear-phase-invariant error metric during nonlinear optimization. This method is prone to stagnation in local minima. The second method is a global linear phase correction that is applied prior to image reconstruction, either in fringe processing or as a simple preprocessing step to image reconstruction. This phase calibration method, like the baseline bootstrapping concept, is possible only with certain beam combination configurations and requires multispectral measurements. This phase correction is coarse but provides a solution within the capture range of the nonlinear optimization of the first method. Using both methods results in a simplified image reconstruction algorithm that produces a high-fidelity reconstruction.
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Zachary J. DeSantis, James R. Fienup, "Phase-error mitigation in optical interferometric imaging," Proc. SPIE 11836, Unconventional Imaging and Adaptive Optics 2021, 118360I (1 August 2021); https://doi.org/10.1117/12.2595860