为了研究受限拉盖尔-高斯光束湍流传输时轴上光强分布,采用扩展惠更斯-菲涅耳原理方法进行了理论分析,得到了受发射圆孔限制的拉盖尔-高斯光束在大气湍流中传输时轴上光强的表达式。并运用MAPLE模拟,取得了不同湍流强度、波长和发射圆孔孔径下轴上光强的分布理论数据。结果表明,拉盖尔-高斯光束在不同阶数、湍流强度、波长和发射圆孔孔径下,真空和湍流较弱时,轴上光强在近场发生明显振荡,达到最大值后,强度明显开始降低,湍流较强时,传输很近距离强度就迅速衰减,并与其在真空中的传输特性进行了比较。这一结果对研究拉盖尔-高斯光束是有帮助的。

For studying the axial intensity distribution of limited Laguerre-Gaussian beams in turbulent atmosphere,the axial intensity expression of the Laguerre-Gaussian beams limited by a circular aperture in atmospheric turbulence was obtained based on expanding Huygens-Fresnel principle.The theoretical axial intensity under conditions of different intensity of turbulence,wavelength and transmit aperture was simulated by means of MAPLE.The results indicate the axial intensity increases obviously in the near-field,after it reach the largest and then begin to decrease obviously when the Laguerre-Gaussian beams in vacuum or low atmospheric turbulence.The axial intensity is attenuated rapidly as the Laguerre-Gaussian beams propagate close quarters in rather strong atmospheric turbulence under different intensity of turbulence,wavelength and transmit aperture.Which were compared with that in vacuum.This result is helpful in studying Laguerre-Gaussian beams.