Optimal modal compensation in gradient-based wavefront sensorless adaptive optics

Cross correlations between mode coefficients in the Zernike decomposition of atmospheric path aberrations induce correction errors and limit temporal and spatial receiver bandwidths. In this work we propose an optimal modal decomposition technique for gradient-based wavefront sensorless adaptive optics. We implement statistically independent Karhunen-Loeve functions for iterative blind correction and analyze their optimal correction performance in static turbulence conditions.