Gaussian beam radius measurement with a knife-edge: a polynomial approximation to the inverse error function

被引：37
作者：
Gonzalez-Cardel, Mario [1 ]
Arguijo, Pedro [2 ]
Diaz-Uribe, Rufino [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Aplicadas & Desarrollo Tecnol, Mexico City 04510, DF, Mexico
[2] Inst Tecnol Super Misantla, Mexico City, DF, Mexico
来源：
APPLIED OPTICS | 2013年 / 52卷 / 16期
关键词：
PROFILE MEASUREMENT;
D O I：
10.1364/AO.52.003849
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A method for approximating the inverse error function involved in the determination of the radius of a Gaussian beam is proposed. It is based on a polynomial inversion that can be developed to any desired degree, according to an a priori defined error budget. Analytic expressions are obtained and used to determine the radius of a TEMoo He-Ne laser beam from intensity measurements experimentally obtained by using the knife edge method. The error and the interval of validity of the approximation are determined for polynomials of different degrees. The analysis of the theoretical and experimental errors is also presented. (C) 2013 Optical Society of America
引用
收藏
页码：3849 / 3855
页数：7
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