弱湍流大气中部分相干涡旋光束的轨道角动量特性

Orbital angular momentum characteristics of partially coherent vortex beams in weak turbulent atmosphere

根据轨道角动量谱理论,推导了部分相干拉盖尔-高斯光束轨道角动量态的功率表达式。分析了相干长度、束宽对轨道角动量的影响,讨论了弱湍流大气中部分相干-拉盖尔高斯光束轨道角动量特性。结果表明:部分相干拉盖尔-高斯光束在相干长度与束腰半径比值固定的情况下,其初始轨道角动量态相对功率不会随着束腰半径的改变而变化。在部分相干拉盖尔-高斯光束初始相干长度与束腰半径取值大小相同的情况下,随着束腰半径的增大,光束在弱湍流大气中传输1 km处的初始轨道角动量态相对功率减小。

Based on the orbital angular momentum spectrum theory,the power expression of orbital angular momentum states of partially coherent Laguerre-Gaussian beams is derived.The effects of coherent length and beam width on orbital angular momentum are analyzed.The orbital angular momentum characteristics of partially coherent Laguerre-Gaussian beams in weak turbulent atmosphere are discussed.The results show that the relative power of the initial orbital angular momentum state of the partially coherent Laguerre-Gaussian beam does not change with the change of the beam waist radius,in terms of invariant the ratio of the coherent length to the beam waist radius.In the partially coherent Laguerre-Gaussian beam initial coherence length and radius values of the same size,with the increase of the waist radius,initial orbital angular momentum states at 1 km relative power decreasing of beam propagation in weak turbulent atmosphere.