Open AccessM2 factor matrix for two-dimensional Hermite-Gaussian beam
Author(s) -
Wei Li,
Jianguo Chen,
Guoying Feng,
Huang Yu,
Gang Li,
Xudong Xie,
Huajun Yang,
Shouhuan Zhou
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2461
Subject(s) - hermite polynomials , gaussian , beam (structure) , rotation matrix , rotation (mathematics) , matrix (chemical analysis) , physics , gaussian beam , mathematics , mathematical analysis , optics , geometry , quantum mechanics , materials science , composite material
The M2 factor matrix for twodimensional HermiteGaussian field is proposed. By introducing coupled beams half width and coupled M2 factor, the M2 factor matrix of the mode after being rotated around the propagation axis by some angle has been derived theoretically in the same coordinate. The rules of change of parameters related to M2 factor matrix varying with the modes' rotation angle have been simulated numerically; and the track of M2 factor vectors versus the modes' rotation angle has been given. Calculation results are in good agreement with theoretically derived ones, which proves that by using M2 factor matrix, M2 factors of a HermiteGaussian mode after rotation by a certain angle can be related with those of the same mode before rotation. This method is universally applicable to the beam quality analysis for asymmetric higher Gaussian beams, and is very important in guiding the mesurement of beam quality in practice.