Concise fractional Fourier transform based on a non-uniform order searching method for estimating physical parameters from Newton’s rings

Newton’s ring pattern is very common in interferometry. By analyzing it, the physical parameters can be estimated, such as the curvature radius and the rings’ center. However, parameter estimation from large images using fractional Fourier transform (FRFT) consumes considerable time. A concise FRFT...

Full description

Saved in:
Bibliographic Details
Published in:Applied optics (2004) 2022-05, Vol.61 (15), p.4478
Main Authors: Liang, Xin, Xing, Ruo-Qi, Shen, De-Ming, Wei, Hong-Tao, Liu, Er-Zhuo, Ye, Fangquan, Lu, Ming-Feng, Wu, Jin-Min, Zhang, Feng, Tao, Ran
Format: Article
Language:English
Subjects:
Computing time
Fourier transforms
Parameter estimation
Physical properties
Search methods
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Newton’s ring pattern is very common in interferometry. By analyzing it, the physical parameters can be estimated, such as the curvature radius and the rings’ center. However, parameter estimation from large images using fractional Fourier transform (FRFT) consumes considerable time. A concise FRFT based on a non-uniform order searching method is proposed to reduce the computational time without decreasing the accuracy. Experimental results show that the time of the proposed method is about 2.7 s, which is about 1/600 of that of the traditional FRFT-based method and 1/5 of that of the Fast FRFT-based method when processing 960 × 960 pixel images.
ISSN:1559-128X
2155-3165
DOI:10.1364/AO.457830