We present a new partially coherent pulsed source with spatiotemporal coupling. The stochastic optical pulse, which we call a spatiotemporal coupled cosine–Gaussian-correlated Schell-model pulsed (STC–CGCSMP) source, has its spatial and temporal (or spectral) dimensions coupled by a stochastic factor. Within the frame of the extended Collins formula, we derive the expression for the two-point, two-frequency cross-spectral density (CSD) function as this such source propagates through an ABCD optical system. We then simulate the spectral density, the two-point, two-frequency CSD, and the spectral degree of coherence to discuss how the spatiotemporal coupling factor affects the beam structure during transmission. Our theoretical models enrich the classical theory of propagating stochastic optical pulses and may provide a feasible method for further exploration of novel kinds of optical field modulation.

我们提出了一种新的具有时空耦合的部分相干脉冲源。随机光脉冲，我们称之为时空耦合余弦-高斯相关谢尔模型脉冲 （STC-CGCSMP） 源，其空间和时间（或光谱）维度由随机因子耦合。在扩展的柯林斯公式的框架内，我们推导出了两点、双频交叉光谱密度 （CSD） 函数的表达式，因为这种源通过 ABCD 光学系统传播。然后，我们模拟了频谱密度、两点、双频 CSD 和频谱相干度，以讨论时空耦合因子如何影响传输过程中的波束结构。我们的理论模型丰富了传播随机光脉冲的经典理论，可能为进一步探索新型光场调制提供一种可行的方法。