激光光束质量参数测量中的奇异值分解

基于奇异值分解拟合双曲线方法, 对激光光束质量参数进行测量. 通过分析激光光束质量参数测量中应用正规方程组拟合双曲线的优缺点, 给出采用奇异值分解拟合激光光束束宽变化双曲线的拟合优度判断方法, 并对比了奇异值分解和正规方程组两种双曲线拟合方法的拟合精度. 结果表明, 在激光测量中， 用奇异值分解方法拟合曲线， 在曲线拟合精度和曲线拟合优度上均取得较好效果.

Study on the Singular Value Decomposition on Laser Beam Quality Measure

The method of fitting hyperbola with singular value decomposition(SVD) was used to measure the laser beam quality parameters.The advantages and disadvantages of using the normal equations to fit a hyperbola were analyzed.The hyperbola fitted by SVD was used to express the change of the laser beam's width,and the rules for estimating the goodness-of-fit were offered.The fitting precisions of hyperbolas fit with the normal equations and the SVD were compared.The result showed that the precisions and the goodn...