鬼成像相对于常规成像的量化优势
Quantified Advantage of Ghost Imaging over Regular Imaging
AI总结：
本文通过解析推导和数值模拟，量化了经典鬼成像在探测器噪声足够大时相对于常规成像的信噪比优势。
摘要：
鬼成像是一种引人注目的技术，其中从未与物体相互作用的光被相机探测到，却仍能记录下物体的图像。该方法依赖于相关光的使用以及一个额外的桶探测器。鬼成像已应用于考古学、生物医学、透过浑浊介质成像等领域，并有望改进X射线成像，此外还有许多其他应用。然而，鬼成像相对于常规成像的优势可能难以量化。对于单像素孔径（物体）的经典鬼成像，我们利用基本统计学找到了信噪比的闭合解析表达式。我们发现，当探测器噪声足够大时，该信噪比可以超过在相同孔径曝光下常规成像的信噪比，这展示了一个简单且可量化的优势。数值模拟证实了理论分析。
英文摘要：
Ghost imaging is a remarkable technique where light that never interacts with an object is detected with a camera and still the image of the object is recorded. The method relies on the use of correlated light and an additional bucket detector. Ghost imaging has been used in archaeology, bio-medicine, for seeing through turbid media, and promises X-ray imaging improvements, amongst many other applications. However, the advantage of ghost imaging over regular imaging can be difficult to quantify. For classical ghost imaging of a single pixel aperture (the object), we find a closed analytic expression for the signal-to-noise ratio using basic statistics. We find that this signal-to-noise ratio can exceed that of regular imaging with the same exposure of the aperture when the detectors are sufficiently noisy, illustrating a simple and quantifiable advantage. Numerical simulation confirms the theoretical analysis.
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