Chu Xiuxiang, Liu Zejin, Wu Yi
College of Optoeledtronic Science and Engineering, National University of Defence Technology, Changsha, China.
J Opt Soc Am A Opt Image Sci Vis. 2008 Jan;25(1):74-9. doi: 10.1364/josaa.25.000074.
The propagation of a multi-Gaussian beam in turbulent atmosphere in a slant path is studied. The analytical expression for the average intensity of a general multi-Gaussian beam is derived. As special cases the average intensities of a two- and a four-Gaussian beam are investigated and numerically calculated. The investigation reveals that at lower altitude and with large sigma the intensity distribution at the receiver plane can have a shape (multiple peaks) similar to that at the source plane. But with increase in altitude or decrease in sigma, the multiple peaks gradually disappear and evolve into the profile of a fundamental Gaussian beam. From the comparisons between the different propagations we can see that the beam spreading due to wavelength and initial waist width in a slant path is much slower than that in a horizontal path.
研究了多高斯光束在倾斜路径湍流大气中的传播。推导了一般多高斯光束平均强度的解析表达式。作为特例，研究并数值计算了双高斯光束和四高斯光束的平均强度。研究表明，在较低高度且σ较大时，接收平面处的强度分布可具有与源平面处相似的形状（多个峰值）。但随着高度增加或σ减小，多个峰值逐渐消失并演变为基模高斯光束的轮廓。通过不同传播情况之间的比较可以看出，倾斜路径中由于波长和初始束腰宽度引起的光束扩展比水平路径中的慢得多。
