title: Error analysis of aspheric surface with reference datum.
abstract: Severe requirements of location tolerance provide new challenges for optical component measurement, evaluation, and manufacture. Form error, location error, and the relationship between form error and location error need to be analyzed together during error analysis of aspheric surface with reference datum. Based on the least-squares optimization method, we develop a least-squares local optimization method to evaluate form error of aspheric surface with reference datum, and then calculate the location error. According to the error analysis of a machined aspheric surface, the relationship between form error and location error is revealed, and the influence on the machining process is stated. In different radius and aperture of aspheric surface, the change laws are simulated by superimposing normally distributed random noise on an ideal surface. It establishes linkages between machining and error analysis, and provides an effective guideline for error correcting.
authors.forename: Yanglin
authors.initials: Y
authors.lastname: Peng
authors.forename: Yifan
authors.initials: Y
authors.lastname: Dai
authors.forename: Shanyong
authors.initials: S
authors.lastname: Chen
authors.forename: Ci
authors.initials: C
authors.lastname: Song
authors.forename: Feng
authors.initials: F
authors.lastname: Shi