中国物理B ›› 2023, Vol. 32 ›› Issue (4): 44204-044204.doi: 10.1088/1674-1056/ac981e

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A probability theory for filtered ghost imaging

Zhong-Yuan Liu(刘忠源), Shao-Ying Meng(孟少英), and Xi-Hao Chen(陈希浩)   

  1. Key Laboratory of Optoelectronic Devices and Detection Technology, College of Physics, Liaoning University, Shenyang 110036, China
  • 收稿日期:2022-06-27 修回日期:2022-09-28 接受日期:2022-10-07 出版日期:2023-03-10 发布日期:2023-03-17
  • 通讯作者: Xi-Hao Chen E-mail:xi-haochen@163.com
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2018YFB0504302), and the Project of Innovation and Entrepreneurship Training Program for college students of Liaoning University (Grant No. S202110140003).

A probability theory for filtered ghost imaging

Zhong-Yuan Liu(刘忠源), Shao-Ying Meng(孟少英), and Xi-Hao Chen(陈希浩)   

  1. Key Laboratory of Optoelectronic Devices and Detection Technology, College of Physics, Liaoning University, Shenyang 110036, China
  • Received:2022-06-27 Revised:2022-09-28 Accepted:2022-10-07 Online:2023-03-10 Published:2023-03-17
  • Contact: Xi-Hao Chen E-mail:xi-haochen@163.com
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2018YFB0504302), and the Project of Innovation and Entrepreneurship Training Program for college students of Liaoning University (Grant No. S202110140003).

摘要: Based on probability density functions, we present a theoretical model to explain filtered ghost imaging (FGI) we first proposed and experimentally demonstrated in 2017 [Opt. Lett. 42 5290 (2017)]. An analytic expression for the joint intensity probability density functions of filtered random speckle fields is derived according to their probability distributions. Moreover, the normalized second-order intensity correlation functions are calculated for the three cases of low-pass, bandpass and high-pass filterings to study the resolution and visibility in the FGI system. Numerical simulations show that the resolution and visibility predicted by our model agree well with the experimental results, which also explains why FGI can achieve a super-resolution image and better visibility than traditional ghost imaging.

关键词: filtered ghost imaging, probability density function, super-resolution

Abstract: Based on probability density functions, we present a theoretical model to explain filtered ghost imaging (FGI) we first proposed and experimentally demonstrated in 2017 [Opt. Lett. 42 5290 (2017)]. An analytic expression for the joint intensity probability density functions of filtered random speckle fields is derived according to their probability distributions. Moreover, the normalized second-order intensity correlation functions are calculated for the three cases of low-pass, bandpass and high-pass filterings to study the resolution and visibility in the FGI system. Numerical simulations show that the resolution and visibility predicted by our model agree well with the experimental results, which also explains why FGI can achieve a super-resolution image and better visibility than traditional ghost imaging.

Key words: filtered ghost imaging, probability density function, super-resolution

中图分类号:  (Image forming and processing)

  • 42.30.Va
42.30.Wb (Image reconstruction; tomography) 87.57.-s (Medical imaging) 87.59.bd (Computed radiography)