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中文摘要：
从矢量瑞利-索末菲衍射积分公式出发,以非傍轴矢量余弦－高斯（CoG）光束为例,对非傍轴矢量光束的两种光强表示式,即传统光强公式和时间平均坡印廷矢量的z分量进行了比较研究.对非傍轴矢量CoG光束轴上和横向光强分布详细的数值计算和比较结果表明,两种光强表示式之间的相对误差η与w0/λ、z/λ和偏心参量b有关,其中w0,λ和z分别为束腰宽度,波长和传输距离.当偏心参量b较小,且束腰宽度与波长相比不很小时,例如,b≤0.8,w0/λ≥0.8,z/λ=10时,二者间的最大相对误差ηmax＜2%,传统光强公式可以使用.
英文摘要：
Starting from the vectorial Rayleigh-Sommerfeld diffraction integrals and taking the nonparaxial vectorial cosine-Gaussian （COG） beam as an example, the two expressions for the intensity of nonparaxial vectorial beams, i. e. , the conventional intensity expression and the z component of the time-averaged Poynting vector, are studied. The numerical results and comparison for nonparaxial vectorial CoG beams show that the relative error η between the two intensity expressions depends on the ratios ω0/λ, z/λ and decentered parameter b, where ω0, λ and z denote the waist width, wavelength and propagation distance, respectively. If the decentered parameter b is smaller, and waist-width to wavelength ratio ω0/λ is not very small, for example, if b≤0. 8, ω0/λ≥0. 8 and z/λ= 10 the maximum relative error between the two expressions ηmax〈2%. Therefore, the conventional intensity expression can be used.
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