Computational Ghost Imaging In A Slant Non-Kolmogorov Turbulent Channel

Ghost imaging, which is also called as correlated imaging or two-photon imaging，was ahot issue of quantum imaging studies in recent years. However，when the ghost imagingtechniques was applied to satellite communications system，we should take into considerationthe influence of the atmospheric channel.In this paper，we mainly discussed the influence of non-Kolmogorov turbulence on thequality of fully spatially incoherent beams and Gaussian-Schell beams ghost imaging. We alsoanalyzed the figures of imaging system resolution with different turbulence strength，differenttransmission distances and different source’s spatial coherence in more detail.In our study, by using Huygens-Fresnel integral and quadratic approximation of the waveaberration phase structure function of non-Kolmogorov turbulence， we established atheoretical model of fully spatially incoherent beams ghost imaging in a slantnon-Kolmogorov atmospheric turbulent channel. Based on this model, we analyzed theinfluence of turbulence strength, zenith angle, spectral power-law exponent and objectlocation on ghost imaging by numerical calculation. We also found the specific conditionscorresponding to one minimum resolution size of the imaged objects. The results showed thequality of ghost imaging dropped while the turbulence became strong. And bigger power-lawexponent of the non-Kolmogorov spectrum or smaller distance between source and objectmade ghost imaging clearer. The zenith angle of communication channel seems had littleinfluence on the imaging quality.We also studied the effect of spatial coherence on quality of lensless ghost imaging in aslant z-tilt aberration corrected atmospheric turbulence channel， and establishedcorresponding theoretical model. The analysis of this model’s numerical simulation resultsshowed when other conditions were the same，the quality of ghost imaging with a large sourcewas better than a small source ghost imaging. The quality of ghost imaging increased whenthe source’s transverse coherence width decreased. The influence of turbulence strength，object location，zenith angle and spectral power-law exponent on Gaussian-Schell beamsseemed similar with their influence on fully spatially incoherent beams.