Title :
Research on Solving Laser Beam Quality Factor M^2 with Normal Equations
Author :
Jing, Wenbo ; Yang, Wenbo ; Wang, Xiaoman ; Jiang, Huilin
Author_Institution :
Dept. of Detection & Inf. Eng., Changchun Univ. of Sci. & Technol., Changchun, China
Abstract :
In this paper, the method for solving laser beam quality factor M2 with normal equations is studied, and the numerical algorithm of solving the normal equations (NE) with triangular decomposition is presented at the same time. The normal equations method for solving laser beam quality factor M2 is consistent with singular value decomposition (SVD) method, but the first one is faster and more accurate. These are all verified by experiments.
Keywords :
Q-factor; laser beams; singular value decomposition; laser beam; normal equations; numerical algorithm; quality factor; singular value decomposition; triangular decomposition; Equations; Fitting; Laser beams; Mathematical model; Matrix decomposition; Measurement by laser beam; Q factor; Goodness-of-fit; M2 factor; normal equations; triangular decomposition;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6880-5
DOI :
10.1109/iCECE.2010.434
