一种测量高斯光束光斑半径的新方法

A New Method of Measuring the Radius of Gaussian Laser Beam

摘要: 本文提出一种用圆孔光(门东)测量激光高斯光束光斑半径的新方法。高斯光束光强的横向分布I=(2P₀)/(πω²)exp(-(2r²)/(ω²)),由此P=∫₀^2π∫₀^RI=(2P₀)/(πω²)exp(-(2r²)/(ω²))rdrdθ,式中P₀是高斯光束总功率,P是经过光(门东)的激光功率,R是圆孔光(门东)的半径,ω是1/e^{2^{光斑半径。测量出P₀、P和R以后,可以得到高斯光束光斑半径W=√-(2)/(ln(1-P/P₀))^R。}}

Abstract: In this paper, a new method of measuring the radius of Gaussian laser beam with circular diaphragm is reported. The intensity distritution ofGaussian beam is given by I=(2P₀)/(πω²)exp(-(2r²)/(ω²)) and theseby P=∫₀^2π∫₀^R(2P₀)/(πω²)exp(-(2r²)/(ω²))rdrdθ,式中P₀. In which P₀ is the total laser power, P is the tran-smissive laser power behind the diaphragm, R is the radius of the diaphragm and w is the 1/e² beam radius After P₀, P and R are measured,he beam radius may be obtained by W=√-(2)/(ln(1-P/P₀))R.