An exact analytic solution to segmented-mirror adaptive-optics control.

Details An exact analytic solution to segmented-mirror adaptive-optics control. An exact analytic solution to segmented-mirror adaptive-optics control.

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994josaa..11..874e&link_type=abstract

Journal of the Optical Society of America A, Vol. 11, No. 2, p. 874 - 879

Physics

Optics

4

Adaptive Optics: Very Large Telescopes

Scientific paper

An innovative method of phase compensation employs a segmented primary mirror in place of a conventional deformable mirror. Segmentation of the primary mirror offers an inexpensive method of producing large, active telescopes or beam directors. The success of this approach for adaptive optics hinges on the ability to control the segments. The authors have succeeded in analytically solving for the segmented-mirror configuration that minimizes the sum of the squares of the differences in height of adjacent segment midpoints. The knowledge of this constructive solution eliminates the need to do iterations or the need to develop iterative control algorithms. This solution functional can be found in advance for any particular mirror design and relates segment-midpoint height differences to the measured input tilt field in a fully deterministic and unique way.

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