Error-free demodulation of pixelated carrier frequency interferograms.

Error-free demodulation of pixelated carrier frequency interferograms.
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DOI:
10.1364/oe.18.018492
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发表时间:
2010-08
期刊:
影响因子:
3.8
通讯作者:
M. Servin;J. C. Estrada
M. Servin;J. C. Estrada
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Servin;J. C. Estrada

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近年来,像素化的空间载波干涉图在光学计量中得到了广泛的应用,并已成为当今的行业标准。这些干涉仪的主要特点是,摄像机上的每个像素都可以通过[0,2pi]弧度内的任何(无论多么固定的)所需角度进行相位调制。每个像素处的相位被移位,而不会与其邻近像素产生串扰。这为实验中的空间波前调制开辟了新的可能性,因为我们不再受限于使用倾斜平面引入空间载波。可以使用以像素为基础对测试波前进行相位调制的任何有用的数学模型。然而,我们现在面临的问题是,这些像素化的干涉图没有被正确解调,以获得无误差(准确)的波前估计。本文的目的是提供一种通用的理论,使人们能够以一种精确的方式解调由任何可以想到的二维相位载波调制的像素化空间载波干涉图。
Recently, pixelated spatial carrier interferograms have been used in optical metrology and are an industry standard nowadays. The main feature of these interferometers is that each pixel over the video camera may be phase-modulated by any (however fixed) desired angle within [0,2pi] radians. The phase at each pixel is shifted without cross-talking from their immediate neighborhoods. This has opened new possibilities for experimental spatial wavefront modulation not dreamed before, because we are no longer constrained to introduce a spatial-carrier using a tilted plane. Any useful mathematical model to phase-modulate the testing wavefront in a pixel-wise basis can be used. However we are nowadays faced with the problem that these pixelated interferograms have not been correctly demodulated to obtain an error-free (exact) wavefront estimation. The purpose of this paper is to offer the general theory that allows one to demodulate, in an exact way, pixelated spatial-carrier interferograms modulated by any thinkable two-dimensional phase carrier.