General theoretical formulation of image formation in digital Fresnel holography.
General theoretical formulation of image formation in digital Fresnel holography.
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DOI：
10.1364/josaa.25.001744
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发表时间：
2008-07
期刊：
影响因子：
--
通讯作者：
P. Picart;J. Leval
中科院分区：
文献类型：
--
作者：
P. Picart;J. Leval
We present a detailed analysis of image formation in digital Fresnel holography. The mathematical modeling is developed on the basis of Fourier optics, making possible the understanding of the different influences of each of the physical effects invoked in digital holography. Particularly, it is demonstrated that spatial resolution in the reconstructed plane can be written as a convolution product of functions that describe these influences. The analysis leads to a thorough investigation of the effect of the width of the sensor, the surface of pixels, the numerical focusing, and the aberrations of the reference wave, as well as to an explicit formulation of the Shannon theorem for digital holography. Experimental illustrations confirm the proposed theoretical analysis.
