基于电磁束相干和偏振性的统一理论,推导出部分相干部分偏振矢量双曲余弦-高斯光束通过双焦透镜后交叉谱密度的解析式。部分相干部分偏振矢量高斯谢尔模型光束通过双焦透镜的传输和部分相干部分偏振矢量双曲余弦-高斯光束通过常规透镜的传输是2个特例。研究表明:聚焦矢量双曲余弦-高斯光束的光强、偏振度、光谱相干度和焦移与离心参数、相关长度、束腰宽度和透镜焦距等参数有关。

Based on the unified theory of coherence and polarization of electromagnetic beams,the expression for the cross-spectral density of partially polarized,partially coherent vectorial cosh-Gaussian(ChG) beams propagating through a bifocal lens is derived. The propagation of partially polarized,partially coherent vectorial Gaussian Schell-model(GSM) beams propagating through a bifocal lens and the propagation of partially polarized,partially coherent vectorial ChG beams propagating through a conventional lens can be treated as two special cases of our results. It is shown that the intensity,degree of polarization,spectral degree of coherence and focal shifts of focused vectrial ChG beams depend on the decentered parameter,correlation length,waist width and focal length.