Far-field superresolution of thermal sources by double homodyne or double array homodyne detection

Author:

Xie Yanxiang,Liu Hongbo,Sun Hengxin,Liu KuiORCID,Gao JiangruiORCID

Abstract

We propose two schemes for estimating the separation of two thermal sources via double homodyne and double array homodyne detection considering the joint measurement of conjugate quadratures of the image plane field.By using the Cramér–Rao bound, we demonstrate that the two schemes can estimate the separation well below the Rayleigh limit and have an advantage over direct imaging when the average photon number per source exceeds five.For arbitrary source strengths, double homodyne detection is superior to homodyne detection when the separation is above 25/4σ/N s , σ is the beam width, N s is the average photon number per source.A larger separation can be estimated better via double array homodyne detection with the superiority of flexible operation compared with other schemes. High-speed and high-efficiency detection enables the measurement schemes with potential practical applications in fluorescence microscopy, astronomy and quantum imaging.

Funder

National Natural Science Foundation of China

The Key Program of the National Natural Science Foundation of China

The central government guides local funds for science and technology development

Program for Outstanding Innovative Team of Higher Learning Institution of Shanxi and Shanxi

Publisher

Optica Publishing Group

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