多束高斯叠加模型光束与超高斯光束传输特性比较

A Comparison Study on the Propagation Characteristics of the Multi-Gaussian Beams and Super-Gaussian Beams

基于Wigner分布函数和强度矩方法,研究了多束高斯叠加模型光束(MGB)的光束特性,推导出了M2因子和束宽的解析表达式.对多束高斯叠加模型光束(MGB)和超高斯光束(SGB)的传输变换特性作了比较研究,结果表明,具有相同M2因子的MGB和SGB光束在广义菲涅耳数相同的平面上具有十分相似的横向光强分布,尽管其束宽和传输距离可能不相同.

The propagation characteristics of the MultiGaussian beams (MGB) and SuperGaussian beams (SGB) have been studied and compared with each other, based on the Wigner distribution function and irradiance moments method. The characteristic parameters of MultiGaussian beams (MGB), such as the M2 factor and beam width, are derived analytically. Numerical examples have been given. The main result obtained in this paper is that two MGB and SGB with the same M2 factor present a similar transverse irradiance distribution at a position of the equal generalized Fresnel number despite the fact that the beam width and propagation distance may be different. 