非傍轴部分相干厄米-高斯光束的相干和非相干合成

推导出二维非傍轴部分相干厄米-高斯（H-G）光束相干合成和非相干合成的交叉谱密度和光强的解析公式，并分析了一些特例. 合成光束的光强不仅决定于f参数，f_σ参数，离轴参数，合成光束的束数和阶数以及传输距离z，而且还决定于合成方式. 对部分相干光的相干合成和非相干合成概念做了物理诠释，其正确性为数值计算例证实. 关键词： 部分相干光的相干和非相干合成 非傍轴部分相干厄米-高斯（H-G）光束 自由空间中的传输方程

Coherent and incoherent additions of nonparaxial partially coherent Hermite-Gaussian beams

Analytical expressions for the cross-spectral density and intensity of two-dimensional nonparaxial partially coherent Hermite-Gaussian （H-G） beams in coherent and incoherent additions are derived, and some special cases are analyzed. The intensity of the resulting beam depends not only on the f-parameter, f_σ-parameter, off-axis distances, beam numbers and orders of combined beams and propagation distance, but also on the addition scheme. The meaning of the terminology of coherent and incoherent addition of partially coherent beams is interpreted physically and the validity is confirmed by numerical examples.