Abstract According to the partially coherent theory for non-stationary optical fields, we introduce a novel model of partially coherent pulse sources, of which the TDOC is limited by Fractional Multi-Gaussian correlated Schell-model (FMGCSM) function. The analytical formula for the temporally mutual coherence function (TMCF) of a FMGCSM pulse beam on propagation in the presence of dispersive media is derived. The average intensity and the temporal degree of coherence (TDOC) of the FMGCSM pulse beam spreading through dispersive media are illustrated numerically. It can be seen that the pulse beam will form strongly sharp pulse intensity pattern when it propagates into far field. Moreover, the FMGCSM pulse beam propagating in dispersive media with chirp coefficient of s 0 will exhibit self-focusing effect and the focal position is controllable via the change of the source parameters. The far-field properties of the pulse beam may be useful for pulse laser shaping and material surface processing.

中文翻译：

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用尖锐的光脉冲产生远场的时间脉冲源

摘要 根据非平稳光场的部分相干理论，我们引入了一种新的部分相干脉冲源模型，其TDOC受分数阶多高斯相关谢尔模型（FMGCSM）函数的限制。推导出FMGCSM脉冲光束在色散介质存在下传播时的时间互相干函数(TMCF)的解析公式。通过色散介质传播的 FMGCSM 脉冲光束的平均强度和时间相干度 (TDOC) 用数字表示。可以看出，脉冲光束在传播到远场时会形成强烈尖锐的脉冲强度模式。而且，FMGCSM脉冲光束在啁啾系数为s 0 的色散介质中传播将表现出自聚焦效应，焦点位置可通过改变源参数来控制。脉冲光束的远场特性可用于脉冲激光成形和材料表面处理。