光学物体超分辨重建的量子极限
Quantum limits of super-resolution in reconstruction of optical objects
摘要：
我们研究了量子涨落在从衍射极限图像重建光学物体中的作用。以输入对象的两个紧密间隔的高斯峰为例，我们证明了一个可以提高分辨率的重建对象超过经典的瑞利极限。我们表明，在这样的重建过程中，最终的量子极限的分辨率不是由衍射，而是由输入对象的信噪比。我们用光学系统的点扩散函数定量地描述了超分辨的度量。
英文摘要：
We investigate analytically and numerically the role of quantum fluctuations in reconstruction of optical objects from diffraction-limited images. Taking as example of an input object two closely spaced Gaussian peaks we demonstrate that one can improve the resolution in the reconstructed object over the classical Rayleigh limit. We show that the ultimate quantum limit of resolution in such reconstruction procedure is determined not by diffraction but by the signal-to-noise ratio in the input object. We formulate a quantitative measure of super-resolution in terms of the optical point-spread function of the system.
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