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通过微调频谱整形设计相移算法。

Design of phase-shifting algorithms by fine-tuning spectral shaping.

作者信息

Gonzalez A, Servin M, Estrada J C, Quiroga J A

机构信息

Centro de Investigaciones en Optica A.C., Loma del bosque 115, Col Lomas del Campestre, Leon Guanajuato, 37150 Mexico.

出版信息

Opt Express. 2011 May 23;19(11):10692-7. doi: 10.1364/OE.19.010692.

DOI:10.1364/OE.19.010692
PMID:21643325
Abstract

To estimate the modulating wavefront of an interferogram in Phase Shifting Interferometry (PSI) one frequently uses a Phase Shifting Algorithm (PSA). All PSAs take as input N phase-shifted interferometric measures, and give an estimation of their modulating phase. The first and best known PSA designed explicitly to reduce a systematic error source (detuning) was the 5-steps, Schwider-Hariharan (SH-PSA) PSA. Since then, dozens of PSAs have been published, designed to reduce specific data error sources on the demodulated phase. In Electrical Engineering the Frequency Transfer Function (FTF) of their linear filters is their standard design tool. Recently the FTF is also being used to design PSAs. In this paper we propose a technique for designing PSAs by fine-tuning the few spectral zeroes of a PSA to approximate a template FTF spectrum. The PSA's spectral zeroes are moved (tuned) while gauging the plot changes on the resulting FTF's magnitude.

摘要

在相移干涉测量法(PSI)中,为了估计干涉图的调制波前,人们经常使用相移算法(PSA)。所有的相移算法都将N个相移干涉测量值作为输入,并给出其调制相位的估计值。第一个也是最著名的专门设计用于减少系统误差源(失谐)的相移算法是五步施维德 - 哈里哈兰(SH - PSA)算法。从那时起,已经发表了数十种相移算法,旨在减少解调相位上的特定数据误差源。在电气工程中,其线性滤波器的频率传递函数(FTF)是其标准设计工具。最近,频率传递函数也被用于设计相移算法。在本文中,我们提出了一种通过微调相移算法的几个频谱零点以逼近模板FTF频谱来设计相移算法的技术。在测量所得FTF幅度的图变化时,移动(调整)相移算法的频谱零点。

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