Physics – Optics
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apopt..23.3684b&link_type=abstract
Applied Optics (ISSN 0003-6935), vol. 23, Oct. 15, 1984, p. 3684-3690.
Physics
Optics
Hexagons, Method Of Moments, Mirrors, Optical Correction Procedure, Reflecting Telescopes, Aberration, Adjusting, Astigmatism, Curve Fitting, Design Analysis, Least Squares Method
Scientific paper
A method of passively correcting or adjusting the figure of a mirror through deformation by applying moments at specific points on the back surface is described with specific reference to the design of the University of California Ten Meter Telescope. These moments can be applied by a single mechanical system consisting of posts and springs. Once a set of possible locations for posts to be attached to the back of the mirror has been established, the effects of various combinations of moments must be calculated. By using concepts of linear algebra, these effects need be calculated only for a basis set of configurations; a least-squares fit is used to determine the best linear combination of these basis vectors to produce the deformation desired. For the case of a thin hexagonal mirror (diameter = 180 cm, thickness = 7.5 cm), it is practical to use this method to reduce aberrations of amplitude of the order of 1 wave by factors of 10-100.
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