两种时间因子下波束因子g_n^m的比较

Comparison of Beam Coefficients g_n^m When Wave Vary in Time as e^(-iωt) and e^(iωt) Respectively

根据广义米氏理论,将入射高斯波束用矢量球谐函数展开,得到时间因子为e^(iwt)下波束因子g_(n-)~m的表达式,给出g_(n-)~m的局域近似结果,并与时间因子为e^(iwt)下g_(n+)~m的结果进行比较,同时给出了g_(n-)~m的对称关系和数值结果。

The incident polarized Gaussian beam is first expanded in terms of angular spectrum of plane wave.These waves are then represented as the vector spherical harmonics.Based on the GLMT, the formulations of the beam coefficents g_(n-)~m when wave vary in time as e^(-iwt)are derived.The differences between g_(n-)~m and g_(n+)~m are discussed.Finally,using the results of Local Approximation for g_(n-)~m, symmetry relationships and the numerical results of g_(n-)~m are presented.