截断非傍轴双曲余弦-高斯光束的远场特性

基于瑞利-索末菲衍射积分公式，推导出截断非傍轴双曲余弦-高斯光束在自由空间传输的解析表示式，分析了一些特例，并引入非傍轴范畴的桶中功率概念，用以描述非傍轴光束的远场光束质量。结果表明:截断非傍轴双曲余弦-高斯光束的光强和桶中功率不仅与束腰宽度与波长之比、偏心参数及截断参数有关，而且桶中功率还与桶的尺寸有关。在一定的范围内，较大的束腰宽度与波长之比, 截断参数和较小的偏心参数使光束有更好的聚焦特性，表现出更好的光束质量。

Far field properties of truncated nonparaxial cosh-Gaussian beams

Based on the Rayleigh-Sommerfeld diffraction integrals, the closed-form expression of truncated nonparaxial cosh-Gaussian (ChG) beams in free space is derived, and some special cases are discussed. The power in the bucket (PIB) of nonparaxial regime is introduced to characterize the beam quality of truncated nonparaxial beams in the far field. It is found that the intensity and the PIB of truncated nonparaxial ChG beams depend on the waist-width-to-wavelength ratio, decentered parameter, truncation parameter and the PIB additionally depends on the bucket size. For a given bucket size, the larger waist-width-to-wavelength ratio, truncation parameter and smaller decentered parameter result in the better power focus ability in the far field and the better beam quality.