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中文摘要：
基于广义瑞利-索末菲衍射积分公式,推导出了非傍轴离轴高斯-谢尔模型（GSM）电磁光束在自由空间传输3×3交叉谱密度矩阵的解析公式,并用以表示电磁光束在z面的光谱密度（光强）、偏振度和光谱相干度。非傍轴共轴GSM电磁光束和非傍轴离轴高斯电磁光束可为特例来处理。着重研究了离轴参数、自相关和互相关长度对电磁光束的光强、偏振度和光谱相干度的影响。对所得结果用数值计算例做了说明。
英文摘要：
Based on the generalized Rayleigh-Sommerfeld diffraction integrals,the analytical expression for the 3×3 cross-spectral density matrix of nonparaxial off-axis Gaussian-Schell model（GSM） electromagnetic beams propagating in free space is derived and used to formulate the spectral density（intensity）,degree of polarization and spectral degree of coherence of electromagnetic beams at the z plane.Nonparaxial on-axis GSM electromagnetic beams and nonparaxial off-axis Gaussian electromagnetic beams can be treated as special cases of our results.The effect of off-axis parameter,self-and cross-correlation lengths on the intensity,the degree of polarization and the spectral degree of coherence of electromagnetic beams are stressed.The results are illustrated by numerical examples.
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