中文摘要：

基于非稳态场的相干理论，推导了部分空间相干部分光谱相干双曲余弦-高斯脉冲电磁光束在自由空间传输时交叉谱密度矩阵的解析公式。结果表明，双曲余弦-高斯脉冲电磁光束的光谱密度、偏振度和相干度与离心参数、光束的空间相关长度、时间相干长度和场点位置等因素有关。部分空间相干部分光谱相干高斯-尔模型脉冲电磁光束、完全光谱相干高斯脉冲电磁光束和完全空间相干高斯脉冲电磁光束可作为特例给出。

英文摘要：

Based on the coherence theory of non-stationary fields, the closed-form expression for the cross-spectral density matrix of spatially and spectrally partially coherent electromagnetic cosh-Gaussian pulsed beams propagating in free space is derived. It is shown that the spectral density, the spectral degree of polarization and the spectral degree of coherence of electromagnetic cosh-Gaussian pulsed beams depend on the position of the field point and the beam parameters, such as the decentered parameter, spatial correlation length and temporal coherence length. Spatially and spectrally partially coherent electromagnetic Gaussian-Sehell-model pulsed beams, spectrally fully coherent electromagnetic pulsed Gaussian beams and spatially fully coherent electromagnetic Gaussian pulsed beams can be treated as special cases of our results.