Classic Gaussian State Light Reflection Ghost Imaging Studies

Ghost imaging, which is also named coincidence imaging or correlated imaging,is a interdisciplinary of quantum mechanics and optical imaging. The ghost imaging isa new imaging modality by correlated the light field in the tradition. A light beamfrom a source divided into two beams by a beam splitter. The one beam does notinteract with the object of interest, after free-space propagation its transverse powerdistribution is measured using a high-spatial-resolution detector. The other beaminteracts with the object after free-propagation and is then measured by a bucketdetector. Cross correlating the photocurrents from the two detectors yields the ghostimage.In this paper, we use quantum theory and Gaussian-state to describe the field ofclassical light. Studied some features of the reflective ghost imaging withphase-insensitive light and classical correlated phase-sensitive light.First, we explored the principle of the reflective ghost imaging withphase-insensitive light and classical correlated phase-sensitive light. We find that thereflective ghost imaging of a rough-surfaced object, using Gaussian-statephase-insensitive or classically-correlated phase-sensitive light, can be expressed interms of the phase-insensitive or phase-sensitive cross correlations between the twodetected fields, plus a background term. At the same time, we compared thedifferences between the two types reflected ghost imaging. We find that the reflectedghost imaging with phase-insensitive light and classical correlated phase-sensitivelight have similar characteristics in the near-field condition, such as field of view andimage spatial resolution. In the far-field condition, we get the similar result that theyare all similar in the imaging expression, the field of view and image spatialresolution. But the difference is the far field reflective ghost image with classicalcorrelated phase-sensitive light is an inverted version of the corresponding far fieldreflective ghost image with phase-insensitive light.Second, we compared the differences of reflected ghost imaging withphase-insensitive light and classical correlated phase-sensitive light in near-field andfar-field conditions. We can see that the reflected ghost imaging withphase-insensitive light have bigger field of view in the far-field condition than the onein the near-field condition, but the image spatial resolution is smaller than the later.The reflected ghost imaging with correlated phase-sensitive light have the sameproperties. We also compared the differences between transmission ghost imaging and reflected ghost imaging. We find that they have some similar features, for example,the field of view and image spatial resolution.Third, we studied the signal to noise ratio of the reflected ghost imaging withphase-insensitive light and phase-sensitive light. The result shows that the SNRs ofreflected ghost imaging with phase-insensitive light and phase-sensitive light issimilarity. It is not difficult to understand that the expression of reflected ghostimaging with phase-insensitive light and phase-sensitive light have only onedifference of a constant. It cannot affects the SNR of the reflected ghost imaging. Wefeel that the semi-classical theory have a certain reference in the calculation of theSNR of the reflected ghost imaging, so we give the calculate process of the SNR ofthe reflected ghost imaging with semi-classical theory.