湍流大气中光束的相位不连续点数密度

基于Rytov近似和几何光学近似条件下,导出了对数振幅导数方差的解析表达式,证明了该参量主要取决于湍流内尺度、Rytov方差以及Fresnel尺寸大小.在此基础上,给出了光束相位不连续点数密度的修正表达式,分析了相位不连续点数密度随上述湍流参量变化的情况.分析表明在Rytov方差小于1的湍流条件下,不连续点数密度数随Rytov方差的增大而增大,而随湍流内尺度和Fresnel尺寸的增大而减小.

Density of Phase Branch Points for a Light Wave Propagation in Atmospheric Turbulence

Under Rytov approximation and geometrical optics approximation, a formula of the variance of the log-amplitude derivative was deduced for the case of a plane wave propagating through turbulence. It was clarified that the main factors, which determined the variance, were the Rytov variance, the turbulence inner scale and the Fresnel size. And, based on the formulae deduced by Voitsekhovich, the expression for density of phase branch points was modified. The relationship between the density and the above mentioned parameters was analyzed thoroughly, which indicates that the density increases with Rytov variance increasing and decreases with turbulence inner scale and Fresnel size increasing under the condition of Rytov variance less than 1.