Analytical solution of the fourth-moment equation and interpretation as a set of phase screens
Analytical solution of the fourth-moment equation and interpretation as a set of phase screens
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四阶矩方程的解析解以及作为一组相位屏幕的解释
DOI：
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发表时间：
1985
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影响因子：
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通讯作者：
B. Uscinski
中科院分区：
文献类型：
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作者：
B. Uscinski
抛物四阶矩方程的近似解以空间频率上的多重卷积的形式找到，在多重散射的情况下非常精确。该解的物理意义在于，它将扩展介质表示为大量等间隔的弱相位调制屏幕。多重卷积可以近似地以封闭形式评估为称为基本解的单个积分，这对于研究强度涨落谱的一般行为非常有用。它还允许对多重卷积进行更准确的估计。这些理论结果还与相应传播实验的数值模拟进行了比较。
An approximate solution for the parabolic fourth-moment equation is found in the form of a multiple convolution over spatial frequencies that is extremely accurate in the case of multiple scatter. The physical significance of this solution is that it represents the extended medium as a large number of equally spaced weak phase-modulated screens. The multiple convolution can be evaluated approximately in closed form as a single integral referred to as the fundamental solution, which is useful for investigating the general behavior of the intensity-fluctuation spectra. It also allows more exact estimates to be made of the multiple convolution. These theoretical results are also compared with numerical simulations of the corresponding propagation experiment.