高阶椭圆厄密-高斯光束的轨道角动量研究

Orbital Angular Momentum of High-order Elliptical Hermite-Gaussian Beams

从傍轴条件下光束轨道角动量的基本理论出发,根据高阶椭圆厄密-高斯光束的光场分布,运用张量方法,对高阶椭圆厄密-高斯光束轨道角动量的密度分布进行了理论分析,得到了求解该密度分布的计算公式,并在给定参量条件下作了数值模拟.进一步对光束中每个光子携带的平均轨道角动量进行了计算,发现其值随着椭圆厄密-高斯光束阶次的增大而增大,表明高阶椭圆厄密-高斯光束能够比椭圆高斯光束或拉盖尔-高斯光束提供高得多的轨道角动量.

According to the basic theory of the orbital angular momentum of light under paraxial condition and the field distribution of high-order elliptical Hermite-Gaussian beams, the orbital angular momentum of high-order elliptical Hermite-Gaussian beams is theoretically analyzed by using tensor method. The formula for finding the orbital angular momentum density of such beams is derived and applied to the numerical analysis of the orbital angular momentum density under some given parameters. The orbital angular momentum per photon is calculated,which is found to increase with the order of the elliptical Hermite-Gaussian beams. The results show that the elliptical Hermite-Gaussian beams can provide much higher orbital angular momentum than elliptical Gaussian beams or Laguerre-Gaussian beams.