Phase-error correction for multiple planes using a sharpness metric

Phase errors in multiple planes create an anisoplanatic (space-variant) blur in an image. We show how phase errors in multiple planes can be corrected with the use of a sharpness metric for heterodyne or holographic imaging. We derive the theoretical framework necessary for this anisoplanatic imaging situation. A digital simulation and results are presented. We demonstrate the success of this nonlinear optimization technique for phase errors in two planes.