Based on Householder transform of the Zernike polynomial wave front fitting method to solve active optics correction force

摘要

Corrective force solving is a critical technology of the active optics. A method to solve active optics corrective force is introduced, which is based on Householder transform of Zernike polynomial wave front fitting, this method is different from the traditional least square method and Gram-Schmid orthogonal method, because it does not bring ill-conditioned polynomial without constructing normal equation, so it can avoid calculation error, wave front fitting is precision. Based on the coefficient of the Zernike polynomial and the response function of the each actuator, the stiffness matrix of the primary mirror is built, and then adopting the damp least square method to calculate corrective force. Based on this method, (p400m test mirror is simulated many times, the calculation result approve: if the Householder transform is adopted, wave front fitting is precision, the result is stabilization and corrective effectiveness is better.