Computing Surface Parameter of Conic Aspheric Mirror with Singular Value Decomposition
The result of null testing is usually used as the criterion in the fabricating process of aspheric mirrors. To ensure the accuracy of paraxial radius of curvature and conic constant is important when the null compensator emerges a problem. From the equation of conic aspheric mirror, we derive a set of algorithm from which the paraxial radius of curvature R and conic constant k can be obtained by using Singular Value Decomposition (SVD) method. The simulating result of an aspheric mirror with an aperture of 1229mm is presented and the solving precision reaches △R=0.1% and △k=0.14%. Thus the supplement to null testing of aspheric mirror is achieved effectively.
Y. Luo, "Computing Surface Parameter of Conic Aspheric Mirror with Singular Value Decomposition", Advanced Materials Research, Vols. 631-632, pp. 1363-1366, 2013