We undertake the aperture averaged scintillation derivation of Gaussian vortex beam using Rytov approximation. For this purpose, point-like scintillation is formulated initially and is then converted into the aperture averaging form via overlap procedure. The numeric values delivered by this aperture averaged derivation are plotted side by side against the results obtained from random phase screen simulation. There it is seen that similar to point-like scintillation, the range of validity of the aperture averaged scintillation of Rytov approximation is also limited to weak turbulence range. Incorporating the effective spectrum of spherical wave into the aperture averaged expression demonstrates that it is possible to extend the validity of the aperture averaged derivation based on Rytov approximation to moderate and strong turbulence regimes. Our tests show that additional source beam specific terms are needed to fully adapt the effective spectrum.

我们使用 Rytov 近似进行高斯涡旋光束的孔径平均闪烁推导。为此，首先制定点状闪烁，然后通过重叠过程将其转换为孔径平均形式。由这种孔径平均推导提供的数值与随机相位屏幕模拟获得的结果并排绘制。可以看出，类似于点状闪烁，Rytov 近似的孔径平均闪烁的有效性范围也仅限于弱湍流范围。将球面波的有效谱结合到孔径平均表达式中表明可以将基于 Rytov 近似的孔径平均推导的有效性扩展到中等和强湍流状态。