摘要
用傅里叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性 ,导出了光阑透射率为T(x) =cos(Ωx)时的近似解析传输公式 ,硬边光阑的情况可作为Ω =0的特例得到。并给出了数值例。研究表明 ,用Collins公式直接数值积分与已推出的近似解析公式的结果在误差范围内一致。
By means of the Fourier series expansion,an app roximate analytical propagation equation of flattened Gaussian beams(FGBs) passi ng through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T( x )=cos( Ωx ). The hard edged aperture can be regarded as a specia l case of Ω =0. Numerical calculations results obtained by th e straightforward integration of the Collins formula and our analytical equatio n are given,showing a good consistency within a small error range.
出处
《激光技术》
CAS
CSCD
北大核心
2003年第2期150-152,共3页
Laser Technology
基金
江西省自然科学基金
国家高技术光束控制重点实验室基金资助项目
关键词
平顶高斯光束
傅里叶级数展开
光阑
场分布
flattened Gaussian beam
Fourier s eries expansion
aperture
field distribution
