Open AccessInterferometric measurement of high-order aspheric surface parameter errors based on a virtual-real combination iterative algorithm
Author(s) -
Qun Hao,
Xin Tao,
Yao Hu,
Tengfei Li,
Weiqian Zhao
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.435252
Subject(s) - optics , interferometry , wavefront , conic section , radius of curvature , zernike polynomials , vertex (graph theory) , surface (topology) , compensation (psychology) , curvature , computer science , algorithm , physics , mathematics , mean curvature , geometry , psychology , graph , theoretical computer science , mean curvature flow , psychoanalysis
Aspheric surface parameters, including vertex radius of curvature, conic constant, and high-order aspheric coefficients, decide the optical properties of aspheric surfaces. The measurement of aspheric surface parameter errors (SPEs) is a substantial issue for the fabrication of aspheric surfaces. Interferometry is a mature high-accuracy method in aspheric surface figure error measurement, but challenges still exist in the measurement of SPEs for high-order aspheric surfaces or convex aspheric surfaces. We propose an interferometric measurement method for high-order aspheric SPEs based on a virtual-real combination iterative algorithm (VRCIA). We also propose a recommended measurement system including a partial compensation interferometer to obtain the partial compensated wavefront and a laser differential confocal system to obtain the best compensation distance for calculating SPEs through the VRCIA. A high-order convex aspheric surface is measured to demonstrate the feasibility of the method. The relative accuracy of vertex radius of curvature error, conic constant error and fourth-order aspheric coefficient error can reach 0.025%, 0.095% and 3.02%, respectively.