非傍轴双曲余弦-高斯脉冲电磁光束远场特性

利用矢量瑞利-索末菲衍射积分公式，推导出了非傍轴部分空间相干部分光谱相干双曲余弦-高斯(ChG)脉冲电磁光束在自由空间传输时交叉谱密度矩阵的远场解析公式，并用来表示脉冲电磁光束的光谱密度(光强)和偏振度。结果表明，对非傍轴远场部分空间相干部分光谱相干ChG脉冲电磁光束，其非傍轴性主要由参数f, f决定，而离心参数、脉冲宽度和时间相干长度影响其非傍轴行为。非傍轴部分空间相干部分光谱相干高斯-谢尔模型脉冲电磁光束的远场传输可作为特例处理。

Far-field properties of nonparaxial electromagnetic cosh-Gaussian pulsed beams

By using the generalized Rayleigh-Sommerfeld diffraction integral, the analytical expression for the cross-spectral density matrix of nonparaxial spatially and spectrally partially coherent electromagnetic Cosh-Gaussian(ChG) pulsed beams propagating in free space was derived and used to formulate the spectral density (intensity) and spectral degree of polarization of electromagnetic pulsed beams. It is found that the parameters f and f play an important role in determining the nonparaxiality of spatially and spectrally partially coherent electromagnetic ChG pulsed beams in the far field, and the decentered parameter, pulse duration, and temporal coherence length affect the nonparaxial behavior. Far-field propagation of nonparaxial spatially and spectrally partially coherent electromagnetic Gaussian Schell-model pulsed beams can be treated as a special case of our results.