Research of fitting algorithm for coefficients of rotational symmetry aspheric lens

Zhi-li Chen; Zong-da Guo; Qian Mi; Zhi-qiang Yang; Run-bing Bai

doi:10.1117/12.833085

20 May 2009 Research of fitting algorithm for coefficients of rotational symmetry aspheric lens

Zhi-li Chen, Zong-da Guo, Qian Mi, Zhi-qiang Yang, Run-bing Bai

Proceedings Volume 7283, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment; 72834O (2009) https://doi.org/10.1117/12.833085
Event: AOMATT 2008 - 4th International Symposium on Advanced Optical Manufacturing, 2008, Chengdu, Chengdu, China

Abstract

The surface shape testing, data analyzing and dealing of aspheric surface lens are important guarantees of the process reliability and compensation correction. The stylus profilometry is usually used in the testing of aspheric lens. During testing the aspheric lens, all coefficients of the aspheric equation need be inputted firstly, and then the curve of error and evaluating parameters are obtained by comparing the actual surface shape curve with the theoretical curve. This article aims at the unknown coefficients rotational symmetry aspheric lens. Using the data from the Form Talysurf 2, we obtained the form coefficients and the form errors by the least square method and Levenberg-Marquardt algorithm. The result shows that, the fitting algorithm is short in the computing time, quick in the convergence, few in the iterative times, and good in the stability, and it can meet the demand of the ultra precise process and the examination.

Citation Download Citation

Zhi-li Chen, Zong-da Guo, Qian Mi, Zhi-qiang Yang, and Run-bing Bai "Research of fitting algorithm for coefficients of rotational symmetry aspheric lens", Proc. SPIE 7283, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 72834O (20 May 2009); https://doi.org/10.1117/12.833085

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available