Mellin变换在处理光束漂移中的应用

Application of Mellin transform in dealing with beam wandering through atmospheric turbulence

从Mellin变换理论出发,推导了激光光束在湍流大气中斜程传输时的光束漂移公式,并在此基础上分析了准直激光光束漂移方差与靶标高度,光束半宽的关系.从结果可以看出,斜程传输在一定的距离内,靶标高度越高,光束的漂移方差越小;光束的初始半宽越大,光束的漂移方差越小.在斜程传输1km到10km距离下,随着靶标高度的逐渐增大,光束漂移方差的变化幅度越来越小,这时大气湍流的影响比水平传输时要小得多,上述理论结果与其他文献结果一致,从而也说明了Mellin变换理论在处理光束漂移方面的可行性.

With applied Mellin transform theory, the formula of beam wandering which its slant propagation through the atmospheric turbulence is derived. Based on these results, the relationship between the wandering variance of the collimation laser beam and the target height and the beam radius is given . The analysis shows that when beam slant propagation is in a certain distance, the higher of the target height and the smaller of the initial beam radius , the smaller of the beam wandering variance. At the same time , when beam slant propagation is at a distance from 1 000 m to 10 000 m, the higher of the target height,the smaller of the change range of the beam wandering. These theoretical results are consistent with other literature, which also shows the feasibility of Mellin transform in dealing with the beard wandering.