Zonal model of an adaptive mirror

Physics – Optics

Scientific paper

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Actuators, Adaptive Control, Linear Filters, Mirrors, Fourier Transformation, Geometrical Optics, Optical Properties, Surface Properties

Scientific paper

An analytical zonal model of adaptive optics is derived from the least-squares solution for arbitrary influence functions, under the restrictions that the actuators are evenly spaced and edge effects are negligible. The model efficiently evaluates the corrective capability of a large aperture adaptive optic with as many as several hundred actuators. The model may be implemented with Fourier transform techniques and, thus, is easily programmable. It is shown that the zonal model can be reduced to the simple model of Harvey and Callahan (1978) for an ideal influence function of the form sinc(x).

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