Estimation of phase derivatives using discrete chirp-Fourier-transform-based method

被引：24

作者：

Gorthi, Sai Siva ^{[1
]}

Rastogi, Pramod ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Appl Comp & Mech Lab, CH-1015 Lausanne, Switzerland

来源：

OPTICS LETTERS | 2009年 / 34卷 / 16期

基金：

瑞士国家科学基金会;

关键词：

FREQUENCY;

D O I：

10.1364/OL.34.002396

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Estimation of phase derivatives is an important task in many interferometric measurements in optical metrology. This Letter introduces a method based on discrete chirp-Fourier transform for accurate and direct estimation of phase derivatives, even in the presence of noise. The method is introduced in the context of the analysis of reconstructed interference fields in digital holographic interferometry. We present simulation and experimental results demonstrating the utility of the proposed method. (C) 2009 Optical Society of America

引用

页码：2396 / 2398

页数：3

共 9 条

[1] Adaptive monogenic filtering and normalization of ESPI fringe patterns [J].

Guerrero, JA ;

Marroquin, JL ;

Rivera, M ;

Quiroga, JA .

OPTICS LETTERS, 2005, 30 (22) :3018-3020

[2] Comments on "Discrete Chirp-Fourier transform and its application to chirp rate estimation" [J].

Guo, X ;

Sun, HB ;

Wang, SL ;

Liu, GS .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (12) :3115-3115

[3] Instantaneous frequency and its application to strain extraction in moire interferometry [J].

Kemao, Q ;

Soon, SH ;

Asundi, A .

APPLIED OPTICS, 2003, 42 (32) :6504-6513

[4] Convergence properties of the Nelder-Mead simplex method in low dimensions [J].

Lagarias, JC ;

Reeds, JA ;

Wright, MH ;

Wright, PE .

SIAM JOURNAL ON OPTIMIZATION, 1998, 9 (01) :112-147

[5] Phase-shifting windowed Fourier ridges for determination of phase derivatives [J].

Qian, K ;

Soon, SH ;

Asundi, A .

OPTICS LETTERS, 2003, 28 (18) :1657-1659

[6] Digital recording and numerical reconstruction of holograms [J].

Schnars, U ;

Jüptner, WPO .

MEASUREMENT SCIENCE AND TECHNOLOGY, 2002, 13 (09) :R85-R101

[7] Frequency modulation interpretation of fringes and computation of strains [J].

Sciammarella, CA ;

Kim, T .

EXPERIMENTAL MECHANICS, 2005, 45 (05) :393-403

[8] Demodulation of a single interferogram based on continuous wavelet transform and phase derivative [J].

Tay, C. J. ;

Quan, C. ;

Sun, W. ;

He, X. Y. .

OPTICS COMMUNICATIONS, 2007, 280 (02) :327-336

[9] Discrete chirp-Fourier transform and its application to chirp rate estimation [J].

Xia, XG .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (11) :3122-3133

← 1 →