By Robert K. Tyson
This SPIE Field Guide presents a precis of the tools for picking out the necessities of an adaptive optics approach, the functionality of the process, and the necessities for the elements of the approach. a number of the expressions are within the kind of integrals, during which case the authors express the consequences graphically for a number of functional values. This moment variation has a significantly accelerated presentation of adaptive optics regulate method layout and operation. Discussions of regulate types are observed by way of a variety of concepts for enforcing the algorithms in undefined.
Table of Contents
Modeling the influence of Atmospheric
keep watch over and Reconstruction
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Extra info for Field Guide to Adaptive Optics, 2nd Ed
The dashed line represents the surface normal, and the dotted line represents the tilted input beam. From this geometry, we can relate both the optical path difference (OPD) and δ to θ by δ = OPD f = OPD( f /#) d For a given OPD at the wavefront sensor (WFS), we can trade off the lenslet array f /# and camera pixel size to optimize the sensor resolution, dynamic range, and noise propagation. We can use this same scale factor to convert spot shift measurements back to OPD when analyzing the system performance.
1/ f noise is commonly referred to as pink or flicker noise and has negligible magnitude for frequencies above 1 Hz, so it is typically ignored for noise performance analysis. This type of noise has been widely observed in many dynamic systems, and there is currently no universal theory for its origin. Noise equivalent power (NEP) is the ratio of the total noise current to the responsivity and represents the level of incident intensity that generates a photocurrent equal to the noise current: NEP = In R Field Guide to Adaptive Optics, 2nd Ed.
Modeling the Effect of Atmospheric Turbulence 15 Legendre Polynomials Many modern solid state lasers have rectangular beam footprints over which Zernike polynomials are not orthogonal and therefore do not adequately describe the wavefront. The Legendre polynomial series is orthogonal over the range [−1, 1] and is often used to describe wavefronts for these beams. In one dimension, the generating function for a Legendre polynomial is n/2 P n ( x) = (−1)k k=0 (2 n − 2 k)! (n − 2 k)! This forms a polynomial series containing either all even powers of x or all odd powers of x, depending on the order n.