通过turbulence传播后孔径平均轨道angular momentum的涨落
Fluctuations of the aperture-averaged orbital angular momentum after propagation through turbulence
摘要：
在最近的文献[1]中，我们指出了标量波傍轴传播时，横向线动量和轨道角动量（OAM）与波的相干函数有关。虽然这两个量在自由空间传播过程中是守恒的，但它们在随机非均匀介质中的光束传播中会发生波动。在此，我们提出了一个扩展的这种理论的情况下，OAM波动的球面波拦截的有限孔径。基于球面波在随机非均匀介质中传播的四阶相干函数的Feynman路径积分解的渐近展开式，建立了弱涨落和强涨落条件下孔径平均OAM方差的完整渐近理论.我们表明，“平方根”的法律，并为孔径平均OAM的弱/强波动条件是不确定的入射波的闪烁指数的值。
英文摘要：
In the recent paper [1] it was shown that for paraxial propagation of scalar waves, the transverse linear momentum and orbital angular momentum (OAM) are related to the wave coherence function. Although both of these quantities are conserved during free-space propagation, they fluctuate for beam propagation in a random inhomogeneous medium. We hereby present an extension of this theory to the case of OAM fluctuations of a spherical wave intercepted by a finite aperture. A complete asymptotic theory for the aperture-averaged OAM variance is developed for both weak and strong fluctuation conditions, based on the asymptotic expansions of the Feynman path-integral solution for the fourth-order coherence function of a spherical wave propagating through a random inhomogeneous medium. We show that"square root" law, and that the weak/strong fluctuation conditions for the aperture-averaged OAM are not defined by the values of the scintillation index of the incident wave.
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