大气斜程传输中高阶贝塞尔高斯光束轨道角动量的研究  

Orbital angular momentum research of high order Bessel Gaussian beam in a slant atmosphere turbulence

作　　者：柯熙政[1] 郭新龙[1] 

机构地区：[1]西安理工大学自动化与信息工程学院,陕西西安710048

出　　处：《红外与激光工程》2015年第12期3744-3749,共6页Infrared and Laser Engineering

基　　金：国家自然科学基金(61377080;60977054;61271110);陕西省"13115"科技统筹计划(2011KTCQ01-31);陕西省教育厅产业化培育基金(2010JC17);陕西省教育厅科研计划项目(2013JK1104);西安市科技成果转换基金(CX12165);陕西省自然科学基础研究计划(2013JQ8011);陕西省工业攻关科技计划项目(2013K06-08);江苏省省级前瞻性研究专项资金(BE201308)

摘　　要：大气湍流引起大气折射率随机变化,导致空间不均匀性。高阶贝塞尔光束在大气湍流中传输时,空间不均匀性会使光子波函数改变,形成不同的光子态引起轨道角动量的弥散。在Rytov近似下,计算了高阶贝塞尔光束在大气斜程传输中各分量所占光束总能量的权重。讨论并对比折射率结构常数,光束波长,天顶角,轨道角动量数,接收孔径和光斑大小等参数对螺旋谱的影响,并给予相应的物理解释。结果表明:随着折射率结构常数,天顶角和传输距离的增加以及光束波长的减小,螺旋谐波主分量对应的谱减小,轨道角动量弥散越大,而且望远镜接收孔径和光斑大小对轨道角动量弥散的影响非常小。Atmospheric turbulence can cause random variations of the refractive index, resulting in a spatial inhomogeneity. When a high order Bessel Gaussian beam is propagating through the atmospheric turbulence, spatial inhomogeneity can bring about the change of photon wave function that causes the disperse of the orbital angular momentum to form different photon states. Under the Rytov approximation, when the high order Bessel beam was propagating in a slant-path atmospheric turbulence, the weight of the spiral harmonic component of the beam energy was calculated. And then, the impact on the spiral spectrum of the beam propagating in the slant ways, caused by refractive index structure constant, the wavelength of the beam, the zenith, orbital angular momentum, the receiver aperture, spot size were discussed and compared and a series of concrete explanations were given. The research results show that with increasing refractive index structure constant and the zenith and with decreasing wavelength of the beam, the spectrum of the spiral harmonic main component reduces and the orbital angular momentum disperses more serious. The receiver aperture and spot size have little effect on the orbital angular momentum disperse.

关 键 词：高阶贝塞尔高斯光束 大气湍流 轨道角动量 螺旋谱 

分 类 号：TN929.12[电子电信—通信与信息系统]