论文标题
随机介质中的部分相干电磁束传播
Partially Coherent Electromagnetic Beam Propagation in Random Media
论文作者
论文摘要
在源部分相干的情况下，提出了电磁波梁第四矩的表征的理论。高斯 - 切尔模型用于部分连贯的随机源。考虑了白色噪声范围的状态，当波长小得多时，它比源的相关半径，源的光束半径和介质的相关长度时，其本身远小于传播距离。然后可以通过ITô-Schrödinger方程来描述复杂的波振幅场。该方程在所有顺序下都给出了波场矩的闭合进化方程，在这里考虑了第四阶方程。一般的第四刻方程在闪烁方案中明确求解（当源的相关半径与介质的相关半径相同时，但是梁半径较大），并且结果给出了强度协方差函数的表征。强度协方差函数的形式来自与第二波矩相关的Wigner分布的传输方程的解。极化波的第四刻结果用于对部分相干来源的成像进行应用。
A theory for the characterization of the fourth moment of electromagnetic wave beams is presented in the case when the source is partially coherent. A Gaussian-Schell model is used for the partially coherent random source. The white-noise paraxial regime is considered, which holds when the wavelength is much smaller than the correlation radius of the source, the beam radius of the source, and the correlation length of the medium, which are themselves much smaller than the propagation distance. The complex wave amplitude field can then be described by the Itô-Schrödinger equation. This equation gives closed evolution equations for the wave field moments at all orders and here the fourth order equations are considered. The general fourth moment equations are solved explicitly in the scintillation regime (when the correlation radius of the source is of the same order as the correlation radius of the medium, but the beam radius is much larger) and the result gives a characterization of the intensity covariance function. The form of the intensity covariance function derives from the solution of the transport equation for the Wigner distribution associated with the second wave moment. The fourth moment results for polarized waves is used in an application to imaging of partially coherent sources.
