M2 factor matrix for two-dimensional Hermite-Gaussian beam
M2 factor matrix for two-dimensional Hermite-Gaussian beam
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DOI：
10.7498/aps.58.2461
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发表时间：
2009-04-01
影响因子：
1
通讯作者：
Zhou Shou-Huan
中科院分区：
文献类型：
--
作者：
Li Wei;Feng Guo-Ying;Zhou Shou-Huan
提出了二维厄米-高斯场的M-2因子矩阵。通过引入耦合光束的半宽和耦合M-2因子，在同一坐标系下，从理论上推导出了模绕传输轴旋转一定角度后的M-2因子矩阵。数值模拟了与M-2因子矩阵有关的参数随模式旋转角的变化规律，给出了M-2因子矢量随模式旋转角的变化轨迹。计算结果与理论推导结果吻合较好，证明了利用M-2因子矩阵，厄米-高斯模旋转一定角度后的M-2因子可以与旋转前的M-2因子联系起来。该方法普遍适用于非对称高次高斯光束的光束质量分析，对实际光束质量的测量具有重要的指导意义。
The M-2 factor matrix for two-dimensional Hermite-Gaussian field is proposed. By introducing coupled beam's half width and coupled M-2 factor, the M-2 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 M-2 factor matrix varying with the modes' rotation angle have been simulated numerically; and the track of M-2 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 M-2 factor matrix, M-2 factors of a Hermite-Gaussian 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.