采用广义惠更斯-菲涅耳衍射积分公式推导出厄米-余弦-高斯光束通过负折射率平板材料的传输公式，并利用其解析式进行数值计算和分析。研究结果表明：负折射率平板材料中的负折射率只影响光束的两次聚焦位置；光束参数不仅会改变厄米-余弦-高斯光束的轴上光强分布，还会改变横向光强的分布，但对厄米-余弦-高斯光束轴上最大光强和横向最大光强的位置均没有影响。

Based on the extended Huygens-Fresnel principle, the propagation expression of Hermite-cosine-Gaussian beam through the negative refractive index materials slab is derived and the numerical calculations are performed. The calculated results show that the negative refractive index of materials slab changes the position of the Hermite-cosine-Gaussian beam focusing, and the beam parameters of Hermite-cosine-Gaussian beam can affect the axial and transverse light intensities. However, the position of the maximum intensity is constant.