摘要
为了研究广义高斯光束特性中未曾研究过的光斑半径长短轴(wmax,wmin)的最小值位置(lwmin,lwmax)和曲率半径R1,R2两个特殊位置的突变点(lR1,lR2)之间的关系,并由它们的关系发现广义高斯光束的一些新的特殊性质,先采用abc参量法进行理论推导,得出无法得到lwmin,lwmax,lR1,lR2位置关系的简单解析解表达式,进而采用计算机软件进行数值分析,得到它们与初始点参量wmax,0,wmin,0,R1,0,R2,0以及旋转角φR1相应的关系图。结果表明,光斑半径长短轴的最小值位置始终处于曲率半径两个极值的突变位置之间,且lwmin,lwmax,lR1,lR2大致分布在l=0附近,lwmin相比较其它三者而言,出现明显不连续突变情况,这对实际普遍情况下的广义高斯光束是成立的。
In order to analyze the relationship between the minimum position （lwmin,lwmax） of the minor and major axes of Wmin Wmax the isophotes and the mutation point （ lR1 ,lR2 ） of the radius of curvature R1, R2 of the generalized Gaussian beam, which never studied before, and find some new and special nature of the generalized Gaussian beam from their relationship, at first, using the abc parameter method to carry out theoretical derivation, a simple analytical solution expression between l , l , lR1, lR2 was obtained. Secondly, after numerical simulation, the relationship figures between /Wmin,lwmax,lR1,ln2 and Wmin,0 ,Wmax ,R1,0 ,R2,0,ФR1 were obtained. The results show that lwmin, lwmax is always between lRl and/R2 , and lwmin, lwmax, lR1, lR2 is distributed near l = 0. lwmin. has serious non-continuous points other than the other three positions. This conclusion adapts to the generalized Gaussian beam in actual and general situations.
出处
《激光技术》
CAS
CSCD
北大核心
2013年第2期256-260,共5页
Laser Technology
关键词
物理光学
非线性光学
广义高斯光束
abc参量法
光斑半径
曲率半径
physical optics
nonlinear optics
generalized Gaussian beam
abc parameter method
spot radius
curvature radius
