论文标题
通过阵列同质的两个不连贯来源的子雷利分辨率
Sub-Rayleigh resolution of two incoherent sources by array homodyning
论文作者
论文摘要
基于测量图像平面中的空间强度分布的常规不相干成像面向雷利衍射标准所描述的分辨率障碍。在这里,我们从理论上使用Fisher信息的概念来证明,通过阵列同型检测测量的正交统计数据可以估计两个不一致的点源之间的距离,远低于雷利极限,以高于雷利的极限,以达到足够高的信噪比。该功能归因于使用相干检测技术获取的单个检测器像素之间的空间相干信息的可用性。提出了在亚雷利区域中可实现的精确度的简单分析近似。此外,提出了估计算法并将其应用于蒙特卡洛模拟数据。
Conventional incoherent imaging based on measuring the spatial intensity distribution in the image plane faces the resolution hurdle described by the Rayleigh diffraction criterion. Here, we demonstrate theoretically using the concept of the Fisher information that quadrature statistics measured by means of array homodyne detection enables estimation of the distance between two incoherent point sources well below the Rayleigh limit for sufficiently high signal-to-noise ratio. This capability is attributed to the availability of spatial coherence information between individual detector pixels acquired using the coherent detection technique. A simple analytical approximation for the precision attainable in the sub-Rayleigh region is presented. Furthermore, an estimation algorithm is proposed and applied to Monte Carlo simulated data.