Surface error analysis for the University of Texas 7.6m telescope primary mirror

Physics

Scientific paper

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Error Analysis, Mirrors, Optical Correction Procedure, Servocontrol, Surface Distortion, Telescopes, Active Control, Actuators, Control Systems Design, Finite Element Method, Flotation, Loads (Forces), Modal Response, Pressure Effects, Surface Stability

Scientific paper

Modal control analytical techniques and finite-element methods are applied to a thin flexible meniscus mirror. Several arrangements of piston actuators of an active system are shown to be near optimum relative to the disturbance inputs, such as thermal and wind loads of small area or randomly distributed. The related plots of modal coefficients, rms surface error, and the previous error analyses demonstrate the efficacy of the thin meniscus approach. The number of modes considered for typical errors is found to be less than 36, being within the current mechanical engineering technology. Many of the filtered disturbances exhibit primary astigmatic terms, requiring far fewer than 36 actuator points to control.

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