Instrumentation, Techniques, and Measurement

Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials

[+] Author Affiliations
Jingfei Ye, Zhishan Gao, Shuai Wang, Wenqing Sun, Wei Wang, Qun Yuan

Nanjing University of Science and Technology, School of Electronic and Optical Engineering, 200 Xiao Ling Wei Road, Xuanwu District, Nanjing 210094, China

Xinhua Li

Nanjing University of Science and Technology, School of Electronic and Optical Engineering, 200 Xiao Ling Wei Road, Xuanwu District, Nanjing 210094, China

Jinling Institute of Technology, School of Materials Engineering, 99 Hong Jing Avenue, Jiangning District, Nanjing 211169, China

Opt. Eng. 54(3), 034105 (Mar 05, 2015). doi:10.1117/1.OE.54.3.034105
History: Received August 26, 2014; Accepted February 4, 2015
Text Size: A A A

Abstract.  In practical optical measurements, the wavefront data are recorded by pixelated imaging sensors. The closed-form analytical base polynomial will lose its orthogonality in the discrete wavefront database. For a wavefront with an irregularly shaped aperture, the corresponding analytical base polynomials are laboriously derived. The use of numerical orthogonal polynomials for reconstructing a wavefront with a general shaped aperture over the discrete data points is presented. Numerical polynomials are orthogonal over the discrete data points regardless of the boundary shape of the aperture. The performance of numerical orthogonal polynomials is confirmed by theoretical analysis and experiments. The results demonstrate the adaptability, validity, and accuracy of numerical orthogonal polynomials for estimating the wavefront over a general shaped aperture from regular boundary to an irregular boundary.

© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Jingfei Ye ; Xinhua Li ; Zhishan Gao ; Shuai Wang ; Wenqing Sun, et al.
"Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials", Opt. Eng. 54(3), 034105 (Mar 05, 2015). ; http://dx.doi.org/10.1117/1.OE.54.3.034105


Tables

Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.