Analysis of a high-resolution optical wave-front control system

We consider the formulation and analysis of a problem of automatic control: correcting for the distortion induced in an optical wave front due to propagation through a turbulent atmosphere. It has recently been demonstrated that high-resolution optical wave-front distortion suppression can be achieved using feedback systems based on high-resolution spatial light modulators and phase-contrast techniques. We examine the modeling and analysis of such adaptive optic systems, and show that under certain conditions, the nonlinear dynamical system models obtained are gradient systems (with energy functions that also serve as Lyapunov functions). These gradient systems (employing

• Type: Journal
• Year: 2004
• Where: AUTOMATICA
• Authors: Eric W. Justh, P. S. Krishnaprasad, M. A. Vorontsov
• Keywords: AUTOMATICA 2004, Optical Wave-front Distortion, Phase-contrast Sensor, Systems