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1、.曲阜师范大学研究生学位论文原创性说明根据学位论文类型相应地在划本人郑重声明：此处所提交的博士/硕士论文 经典高斯态光的反射鬼成像研究 ,是本人在导师指导下,在曲阜师范大学攻读博士/硕士学位期间独立进行研究工作所取得的成果。论文中除注明部分外不包含他人已经发表或撰写的研究成果。对本文的研究工作做出重要贡献的个人和集体,均已在文中已明确的方式注明。本声明的法律结果将完全由本人承担。35 / 35.作者签名：日期：.曲阜师范大学研究生学位论文使用授权书根据学位论文类型相应地在划 经典高斯态光的反射鬼成像 系本人在曲阜师范大学攻读博士/硕士学位期间,在导师指导下完成的博士/硕士学位论文。本论文的研究
2、成果归曲阜师范大学所有,本论文的研究内容不得以其他单位的名义发表。本人完全了解曲阜师范大学关于保存、使用学位论文的规定,同意学校保留并向有关部门送交论文的复印件和电子版本,允许论文被查阅和借阅。本人授权曲阜师范大学,可以采用影印或其他复制手段保存论文,可以公开发表论文的全部或部分内容。.作者签名：导师签名：日期：日期：.摘要第 1 页.摘要鬼成像,又称符合成像或关联成像,是量子力学与光学成像相结合的一门交叉学科。传统意义上的鬼成像是利用光场的空间关联实现成像的一种新型成像方式。光源发出的一束光经过一个分束器被分成两束光,其中的一束光照射到待成像的物体上,然后由一个桶探测器接收,另一束光直接由一
3、个具有空间分辨率的探测器接收,然后关联两个探测器的光电流从而输出鬼成像。本文使用量子理论和高斯态来描述经典光源的光场,系统地研究了以下几个问题：1、非相敏光源和经典关联相敏光源的反射鬼成像及这两种经典光源反射鬼成像的异同。我们发现,非相敏光和经典关联相敏光的反射鬼成像都可以表示为两个探测场的非相敏互关联或者相敏互关联再加上一个背景项；在近场条件下,这两种经典光源的反射鬼成像的成像表达式极其类似,同时它们拥有相同的视场和成像分辨率；在远场条件下它们的成像表达式、视场和成像分辨率也相似,不同之处在于远场条件下的经典关联相敏光的反射鬼成像的像与非相敏光反射鬼成像的像是颠倒的。2、比较了每一种光源反射
4、鬼成像在不同条件下的差异及在相同条件下反射鬼成像与透射鬼成像的异同。我们发现,远场条件下的非相敏光源的反射鬼成像的视场比近场条件下的反射鬼成像的视场大,但是其分辨率却低于后者；经典关联相敏光的反射鬼成像也有相同的性质；反射鬼成像与透射鬼成像在相同条件下的一些性质也类似,例如视场和成像分辨率等。3、非相敏光源和经典关联相敏光源的反射鬼成像的信噪比。研究结果显示这两种经典光源的反射鬼成像的信噪比也非常类似,原因在于这两种经典光源的反射鬼成像的成像表达式只存在一个常量的差异,它不能对鬼成像的信噪比产生实质性的影响。同时鉴于半经典理论在计算鬼成像的信噪比上具有一定的借鉴意义,我们在本文的附录中给出了使
5、用半经典理论计算反射鬼成像信噪比的具体过程。关键词：鬼成像；反射物体；量子理论；高斯态.摘要第 2 页.AbstractGhost 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
6、 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
7、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 ligh
8、t 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
9、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 r
10、eflectedghost 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
11、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 differ
12、ences 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-fiel
13、d 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.摘要第 3 页.reflected ghost imaging. We find that they have some simi
14、lar 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-s
15、ensitive 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.Key words: ghost imaging; reflective object; quantum theory;
