23 August 2005 Eigen-focus beam control for target-in-the-loop
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In this paper we demonstrate that the amplitude and phase of the principle eigenfunction for the pupil-plane mutual intensity can be used to specify a beam that concentrates its intensity at the brightest point on the target in a target-in-the-loop system with a spatially incoherent reflected field. In addition, we discuss two methods for beam control: a method for which the beam amplitude and phase are determined as the principle eigenfunction for the measured (but incomplete) pupil-plane mutual intensity; and a method for which the beam amplitude and phase are determined to maximize a window-based image-plane sharpness measure. We demonstrate that the two methods are similar, and that both result in beams that correspond to the principle eigenfunction for an apodized mutual intensity function.
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Timothy J. Schulz, Timothy J. Schulz, Michael C. Roggemann, Michael C. Roggemann, Baoyong Liu, Baoyong Liu, } "Eigen-focus beam control for target-in-the-loop", Proc. SPIE 5895, Target-in-the-Loop: Atmospheric Tracking, Imaging, and Compensation II, 58950J (23 August 2005); doi: 10.1117/12.619636; https://doi.org/10.1117/12.619636

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