Method for suppressing the quantization error of Newton’s rings fringe pattern

Ming-feng Lu; Guo-Qiang Ni; Ting-zhu Bai; Ran Tao; Feng Zhang

doi:10.1117/1.OE.52.10.103105

4 October 2013 Method for suppressing the quantization error of Newton’s rings fringe pattern

Ming-feng Lu, Guo-Qiang Ni, Ting-zhu Bai, Ran Tao, Feng Zhang

Author Affiliations +

Funded by: National Science Foundation of China for Distinguished Young Scholars

Optical Engineering, Vol. 52, Issue 10, 103105 (October 2013). https://doi.org/10.1117/1.OE.52.10.103105

Abstract

Newton’s rings fringe pattern is often encountered in optical measurement. The digital processing of the fringe pattern is widely used to enable automatic analysis and improve the accuracy and flexibility. Before digital processing, sampling and quantization are necessary, which introduce quantization errors in the fringe pattern. Quantization errors are always analyzed and suppressed in the Fourier transform (FT) domain. But Newton’s rings fringe pattern is demonstrated to be a two-dimensional chirp signal, and the traditional methods based on the FT domain are not efficient when suppressing quantization errors in such signals with large bandwidth as chirp signals. This paper proposes a method for suppressing quantization errors in the fractional Fourier transform (FRFT) domain, for chirp signals occupies little bandwidth in the FRFT domain. This method has better effect on reduction of quantization errors in the fringe pattern than traditional methods. As an example, a standard Newton’s rings fringe pattern is analyzed in the FRFT domain and then 8.5 dB of improvement in signal-to-quantization-noise ratio and about 1.4 bits of increase in accuracy are obtained compared to the case of the FT domain. Consequently, the image quality of Newton’s rings fringe pattern is improved, which is beneficial to optical metrology.

Citation Download Citation

Ming-feng Lu, Guo-Qiang Ni, Ting-zhu Bai, Ran Tao, and Feng Zhang "Method for suppressing the quantization error of Newton’s rings fringe pattern," Optical Engineering 52(10), 103105 (4 October 2013). https://doi.org/10.1117/1.OE.52.10.103105

Published: 4 October 2013

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