Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform

Ming Feng Lu; Feng Zhang; Ran Tao; Guo Qiang Ni; Ting Zhu Bai; Wen Ming Yang

doi:10.1016/j.optlaseng.2015.04.016

Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform

Ming Feng Lu^*, Feng Zhang, Ran Tao, Guo Qiang Ni, Ting Zhu Bai, Wen Ming Yang

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton's rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Optics and Lasers in Engineering
Volume	74
DOIs	https://doi.org/10.1016/j.optlaseng.2015.04.016
Publication status	Published - 28 May 2015

Keywords

Fractional Fourier transform
Fringe analysis
Parameter estimation
Phase derivative
Quadratic phase

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10.1016/j.optlaseng.2015.04.016

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title = "Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform",

abstract = "Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton's rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method.",

keywords = "Fractional Fourier transform, Fringe analysis, Parameter estimation, Phase derivative, Quadratic phase",

author = "Lu, {Ming Feng} and Feng Zhang and Ran Tao and Ni, {Guo Qiang} and Bai, {Ting Zhu} and Yang, {Wen Ming}",

note = "Publisher Copyright: {\textcopyright} 2015 The Authors. Published by Elsevier Ltd.",

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T1 - Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform

AU - Lu, Ming Feng

AU - Zhang, Feng

AU - Tao, Ran

AU - Ni, Guo Qiang

AU - Bai, Ting Zhu

AU - Yang, Wen Ming

PY - 2015/5/28

Y1 - 2015/5/28

N2 - Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton's rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method.

AB - Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton's rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method.

KW - Fractional Fourier transform

KW - Fringe analysis

KW - Parameter estimation

KW - Phase derivative

KW - Quadratic phase

UR - http://www.scopus.com/inward/record.url?scp=84930213004&partnerID=8YFLogxK

U2 - 10.1016/j.optlaseng.2015.04.016

DO - 10.1016/j.optlaseng.2015.04.016

M3 - Article

AN - SCOPUS:84930213004

SN - 0143-8166

VL - 74

SP - 1

EP - 16

JO - Optics and Lasers in Engineering

JF - Optics and Lasers in Engineering

ER -

Parameter estimation of optical fringes with quadratic phase using the fractional Fourier transform

Abstract

Keywords

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