Imaging through atmospheric turbulence with annular pupils

The image degradation due to Kolmogorov atmospheric turbulence is considered in terms of the time-averaged optical transfer function, point spread function, Strehl ratio, and encircled energy for imaging systems with annular pupils. The applications include imaging with mirror telescopes and propagation of obscured laser beams through turbulence. Numerical results are given for obscuration ratios of 0, 0.25, 0.50, and 0.75.