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arXiv 2006.02600physics.optics
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相量场波:部分相干光载波情况的统计处理

Phasor field waves: A statistical treatment for the case of a partially coherent optical carrier

Syed Azer Reza, Sebastian Bauer, Andreas Velten

摘要:

本文提出了一种统计处理相量场(P-场)-一个波状量表示时间平均辐照度的缓慢时间变化(最近被引入到模型和描述非视线(NLoS)成像以及通过漫射或散射孔径成像)-和量化的虚假信号的幅度出现由于部分空间相干性的基础光学载体。这种寄生信号不能用惠更斯式P场成像积分来描述,惠更斯式P场成像积分假设光学不相干性是完全描述P场成像的必要条件(如Reza等人所示)。最近)。在本文中,我们估计的期望值之间的关系,这个虚假的信号和部分粗糙度的P-场成像系统内的程度。该处理允许我们确定由P场积分提供的用于不同程度的部分相干的估计的准确性,并且允许将P场信噪比定义为部分相干光载波的情况下的品质因数。部分相干性的研究也使得能够更好地将孔径粗糙度与P场噪声联系起来。

英文摘要:

This paper presents a statistical treatment of phasor fields (P-fields) - a wave-like quantity denoting the slow temporal variations in time-averaged irradiance (which was recently introduced to model and describe non-line-of-sight (NLoS) imaging as well as imaging through diffuse or scattering apertures) - and quantifies the magnitude of a spurious signal which emerges due to a partial spatial coherence of the underlying optical carrier. This spurious signal is not described by the Huygens-like P-field imaging integral which assumes optical incoherence as a necessary condition to describe P-field imaging completely (as was shown by Reza etal. recently). In this paper, we estimate the relationship between the expected magnitude of this spurious signal and the degree of partial roughness within the P-field imaging system. The treatment allows us to determine the accuracy of the estimate provided by the P-field integral for varying degrees of partial coherence and allows to define a P-field signal-to-noise ratio as a figure-of-merit for the case of a partially coherent optical carrier. The study of partial coherence also enables to better relate aperture roughness to P-field noise.

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