Detection Probability Model of Single Photons Propagation in a Slant Path Turbulent Atmosphere

Based on the assumption of a pulse laser beam with an initial Gaussian temporal shape of the pulse and a Laguerre-Gaussian fundamental-model spatial distribution, the Rytov approximation and modified von Karman spectrum model of the index-of-refraction fluctuation of atmosphere, the effect of turbulence on the detection probability of single-photon propagation in atmospheric communication channel is studied theoretically. The detection probability models for single-photon propagation in uplink path , the horizontal path and downlink path are derived. The results show that the detection probabilities for photons in uplink/horizontal turbulent atmosphere channel are decreased as the C_n² and propagation distance are increased. But, the detection probabilities of photons in downlink turbulent atmosphere channel are independent on the C_n²(0) and the propagation distance effect also is weak.