Single-input-single-output analysis of latency and quadrant detector saturation in adaptive optical systems

Feedback control theory offers several useful tools for analysis of adaptive optics systems. The basic tools of single-input-single-output analysis are applied to design first order and optimal filters for a specific loop bandwidth or gain margin as a function of latency and sample rate. Optimizing filter loop band-width as a function of temporal disturbance and noise statistics is addressed with respect to the internal model principle. Latency, due to camera readout and processing time, is shown to be the primary design driver for optimal AO system performance. The effects of wavefront sensor saturation are discussed and simulation and experimental results are presented.