A new probability distribution model of turbulent irradiance based on Born perturbation theory

作者：Wang HongXing; Liu Min^*; Hu Hao; Wang Qian; Liu XiGuo

来源：Science China Physics,Mechanics & Astronomy, 2010, 53(10): 1811-1818.

DOI：10.1007/s11433-010-4105-z

• optical propagation
• atmospheric turbulence
• irradiance scintillation
• Born perturbation theory
• probability density function
• Maclaurin-spread distribution

The subject of the PDF (Probability Density Function) of the irradiance fluctuations in a turbulent atmosphere is still unsettled. Theory reliably describes the behavior in the weak turbulence regime, but theoretical description in the strong and whole turbulence regimes are still controversial. Based on Born perturbation theory, the physical manifestations and correlations of three typical PDF models (Rice-Nakagami, exponential-Bessel and negative-exponential distribution) were theoretically analyzed. It is shown that these models can be derived by separately making circular-Gaussian, strong-turbulence and strong-turbulence-circular-Gaussian approximations in Born perturbation theory, which denies the viewpoint that the Rice-Nakagami model is only applicable in the extremely weak turbulence regime and provides theoretical arguments for choosing rational models in practical applications. In addition, a common shortcoming of the three models is that they are all approximations. A new model, called the Maclaurin-spread distribution, is proposed without any approximation except for assuming the correlation coefficient to be zero. So, it is considered that the new model can exactly reflect the Born perturbation theory. Simulated results prove the accuracy of this new model.

• 出版日期2010-10
• 单位中国人民解放军海军航空工程学院