部分相干厄米高斯光束的湍流距离

Turbulence Distance of Partially Coherent Hermite-Gaussian Beams

根据广义惠更斯-菲涅耳原理和积分变换技术,推导出了部分相干厄米高斯(H-G)光束传输于大气湍流的湍流距离表达式,并定量地研究了湍流对部分相干H-G光束扩展的影响.研究表明,湍流距离ZT与折射率结构常数C2n、光束阶数m、相干长度σ0及波长λ有关,且ZT随C2n、σ0的增大而减小,随m的增大而增大.即随着C2n、σo的增大,m的减小,湍流对部分相干H-G光束扩展的影响将增大.因此,选择合理的光束参数可减小湍流对部分相干H-G光束扩展的影响.

Based on the extended Huygens-Fresnel principle,the expression for the turbulence distance of partially coherent Herimite-Gaussian（H-G） beams propagating through atmospheric turbulence is derived from using the integral transform technique,and the influence of turbulence on the spreading of partially coherent H-G beams is studied quantitatively.It is shown that turbulence distance Zr depends on refraction index structure constantC2n,beam orders,coherence length of the source σ0 and wave length λ ; and Zr decreases with increasing C2n and σr0,and increases with increasing m.It means that the influence of turbulence on spreading of partially coherent H-G beams increases with increasingC2m,σ0 and decreasing m.As a result,the effect of turbulence on the spreading of partially coherent H-G beams can be reduced by choosing the suitable beam parameters.