In this study, we introduce a novel class of partially coherent vector sources, namely radially polarized spatiotemporally partially coherent cosine-Gaussian-correlated Schell-model pulsed (CGCSMP) beams, which are natural extensions of the scalar Gaussian Schell-model pulsed beams. The conditions for the physical realization of this source are established, and analytical formulae for the two-point, two-frequency cross-spectral density matrix elements of a beam propagating through turbulent atmosphere are derived within the framework of the extended Huygens–Fresnel principle and the atmospheric turbulence spectrum model. The behaviors of the spectral intensity, the spectral degree of polarization (DOP), and the spectral degree of coherence (DOC) of the beam during transmission are investigated numerically. Our work enriches the classical theory of propagating stochastic electromagnetic beams and may be useful for applications requiring a specified degree of beam coherence.

在这项研究中，我们引入了一类新的部分相干矢量源，即径向极化时空部分相干余弦高斯相关 Schell 模型脉冲 (CGCSMP) 光束，它们是标量高斯 Schell 模型脉冲光束的自然延伸。建立了该源的物理实现条件，并在扩展的惠更斯 - 菲涅耳原理的框架内推导出了通过湍流大气传播的光束的两点、两频率交叉谱密度矩阵元素的解析公式和大气湍流谱模型。数值研究了光束在传输过程中的光谱强度、光谱偏振度 (DOP) 和光谱相干度 (DOC) 的行为。