摘要
运用非傍轴光束传输的矢量矩理论 ,对非傍轴矢量高斯光束的传输特性进行了系统的研究 .结果表明 ,基于二阶矩定义的横向光束宽度在光束传播过程中满足简单的双曲线变化规律 ,并且给出了光束传输因子的解析表达式 .就高度非傍轴情形 ,进一步给出了简洁的计算公式 ,在高斯光源线度趋向零的极限情形下 ,横向的最大发散角为 90° .同时 ,还推广到了傍轴情形 ,得到了与原有傍轴公式稍有区别的结果 ,而且光束传输因子始终保持略大于 1 最后 ,对非傍轴矢量高斯光束和非傍轴标量高斯光束的传输进行了比较 ,结果显示对于线度在两个波长范围之内的高斯光源发散角有很大差异 .
Based on the nonparaxial vectorial moment theory of light beam propagation, the propagation characteristics of nonparaxial vector Gaussian beam have been systemically investigated. The results reveal that both the second-order-moment transversal beam widths follow a simple hyperbolic law for propagation. The analytical expression of the beam propagation factor is presented. The concise formulae have been further given for highly nonparaxial case. And the maximum transverse divergences are 90 degrees as the dimension of light source tends to zero. When extending to the paraxial case, the obtained results are slightly different from the formerly paraxial formulae. Moreover, the beam propagation factor will always be greater than unity. Finally, comparison between the propagation of nonparaxial vector Gaussian beam and that of nonparaxial scalar Gaussian beam indicates that the divergence angles show prodigious discrepancy for Gaussian light source within two times of wavelength scales.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2005年第4期1572-1577,共6页
Acta Physica Sinica
基金
浙江省教育厅科研基金 (批准号 :2 0 0 3 0 5 71)资助的课题~~
