In this paper, we examine the problem of coupling partially coherent light from a telescope into an optical fiber within the framework of phase space optics using Wigner distributions. Specifically, we consider optimization of the coupling efficiency for passive optical systems under constraints in the number of spatial modes guided by the optical fiber, as are often imposed by the limitations of fiber devices or detectors employed later in the optical chain. As our primary example, we consider in detail the case of monochromatic plane wave optical fields distorted by random phase perturbations caused by propagation through atmospheric turbulence. By analyzing the Wigner distribution function for a plane wave in atmospheric turbulence, we develop an expression for the coupling efficiency as a function of the number of fiber modes and the ratio of the telescope diameter to Fried’s atmospheric coherence diameter.

中文翻译：

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将部分相干光无源耦合到模式受限光波导中的最佳效率

在本文中，我们研究了在使用 Wigner 分布的相空间光学框架内将来自望远镜的部分相干光耦合到光纤中的问题。具体来说，我们考虑在光纤引导的空间模式数量的限制下优化无源光学系统的耦合效率，这通常是由光纤设备或光链中后期使用的探测器的限制所强加的。作为我们的主要示例，我们详细考虑了单色平面波光场因通过大气湍流传播而引起的随机相位扰动而失真的情况。通过分析大气湍流中平面波的 Wigner 分布函数，