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

Abstract

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 ÿxed phase-contrast sensors) serve as a starting point for understanding the design of practical high-resolution wave-front correction systems, in which the phase-contrast sensor itself is subject to control. ?

2-D Generating Function of the Zernike Polynomials and their Application for Image Classification

“…Zernike polynomials are a set of basis functions that satisfy the orthogonality property on the continuous unit disk [1]. This set has found numerous applications in a variety of fields: optics [2], wavefront sensing [3], [4], aberration theory [4], scaled pupils [5], [6], [7], adaptive optics [8], highresolution optical wave-front control system [9], and image processing [10], [11]. However, direct computation of the Zernike polynomials, especially calculation of the factorial terms in the radial component, is time consuming.…”

Mid-infrared tunable two-dimensional Talbot array illuminator

“…7 Actually, recent advances in MIR optical materials have led to the development of new effective coherent sources and components, thus vastly increasing the number of applications and triggering, at the same time, more and more challenging experiments. 8 Some significant examples are correction or manipulation of wavefronts propagating through turbulent or scattering media, 9 implementation of photonic circuits for MIR integrated optoelectronics, 10,11 and realization of tunable liquid microlenses actuated by IR light-responsive hydrogel. 12 In this letter, we demonstrate a tunable, two-dimensional ͑2D͒ TAI working in the MIR wavelength region.…”