2018/01/15 by De-Zhong Cao, Qing-Chen Li, Cao, De-Zhong +9
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Image and Video Quality Assessment #Orbital Angular Momentum in Optics #Quantum Physics (quant-ph) #Random lasers and scattering media
paper · pdf · doi:10.48550/arxiv.1801.04680
openalex publication_date 2018/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In thermal light ghost imaging, the correlation orders were usually positive integers in previous studies. In this paper, we examine the fractional-order moments, whose correlation order are fractional numbers, between the bucket and reference signals in the ghost imaging system. The crucial step in theory is to determine the precise relation between the bucket signals and reference signals. We deduce the joint probability density function between the bucket and reference signals by regarding the reference signals as an array of independent stochastic variables. In calculating the fractional-order moments, the correlation order for the reference signals must be positive to avoid infinity. While the correlation order for the bucket signals can be positive or negative numbers. Negative (positive) ghost images are obtained with negative (positive) orders of the bucket signals. The visibility degree and signal-to-noise ratio of ghost images from the fractional-order moments are analysed. The experimental results and numerical simulations meet our analysis based on probability theory.