Lavi S, Prochaska R, Keren E
Appl Opt. 1988 Sep 1;27(17):3696-703. doi: 10.1364/AO.27.003696.
The Wigner distribution function (WDF) is used to study the propagation of partially coherent beams through optical systems. The width and divergence of multimode beams are defined in terms of moments of the WDF. It is shown that these and other parameters of partially coherent beams of arbitrary form may be calculated using geometrical ray traces. Generalized transformation laws of these beam parameters by an ABCD optical system are obtained. These laws are tested experimentally for multimode beams and thin lenses. The applications of the ray tracing method can be extended to a non-ABCD system with mild aberrations.
维格纳分布函数（WDF）用于研究部分相干光束在光学系统中的传播。多模光束的宽度和发散度是根据WDF的矩来定义的。结果表明，任意形状的部分相干光束的这些参数和其他参数可以通过几何光线追迹来计算。得到了ABCD光学系统对这些光束参数的广义变换定律。这些定律通过多模光束和薄透镜进行了实验验证。光线追迹方法的应用可以扩展到具有轻微像差的非ABCD系统。
