Research on ghost image reconstruction algorithm based on photons simulation with doubly Poisson stochastic process

In this paper, we propose a photon counting ghost imaging scheme based on time-correlated single photon counting, and based on this scheme, Monte Carlo simulation is conduct with doubly Poisson stochastic process model,the feasibility of traditional ghost imaging and corresponding ghost imaging is verified in this simulation, the influencing factors such as the number of frame M and the number of pulse within a single digital micro-minor device(DMD) period D is also analyzed in the simulation. The results shows that the corresponding ghost imaging algorithm can effectively reduce the calculation amount when the imaging quality is close between the two algorithms, and the number of frames M has a greater influence on image quality. The model can effectively verify the feasibility of system design and improve the efficiency of the experiment, saving experiment time and costs.