Matlin Erik F, Zipp Lucas J
Applied Optics Laboratory, SRI International, Menlo Park, CA, 94025, USA.
Sci Rep. 2022 Feb 18;12(1):2810. doi: 10.1038/s41598-022-06644-3.
We demonstrate an approach to obtaining near quantum-limited far-field imaging resolution of incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of the source distribution, but rather uses an adaptive approach to imaging via spatial mode demultiplexing that iteratively updates both the form of the spatial imaging modes and the estimate of the source distribution. The optimal imaging modes are determined by minimizing the estimated Cramér-Rao bound over the manifold of all possible sets of orthogonal imaging modes. We have observed through Monte Carlo simulations that the manifold-optimized spatial mode demultiplexing measurement consistently outperforms standard imaging techniques in the accuracy of source reconstructions and comes within a factor of 2 of the absolute quantum limit as set by the quantum Cramér-Rao bound. The adaptive framework presented here allows for a consistent approach to achieving near quantum-limited imaging resolution of arbitrarily distributed sources through spatial mode imaging techniques.
我们展示了一种用于获得具有任意分布的非相干源的近量子极限远场成像分辨率的方法。我们的方法不假设对源分布有先验知识，而是通过空间模式解复用采用自适应成像方法，该方法迭代更新空间成像模式的形式和源分布的估计。通过在所有可能的正交成像模式集的流形上最小化估计的克拉美罗界来确定最佳成像模式。我们通过蒙特卡罗模拟观察到，流形优化的空间模式解复用测量在源重建的准确性方面始终优于标准成像技术，并且在量子克拉美罗界设定的绝对量子极限的2倍范围内。这里提出的自适应框架允许通过空间模式成像技术以一致的方法实现对任意分布源的近量子极限成像分辨率。
