基于小波分形插值算法的大气湍流波前畸变重构  

Wavefront Distortion Reconstruction of Atmospheric Turbulence Based on Wavelet Fractal Interpolation Algorithm

作　　者：马圣杰 王勇[2,3] 郝士琦 赵青松 徐晨露 魏硕 MA Shengjie;WANG Yong;HAO Shiqi;ZHAO Qingsong;XU Chenlu;WEI Shuo(State Key Laboratory of Pluse Laser Technology,National University of Defense Technology,Hefei 230037,China;College of Electronic Engineering,National University of Defense Technology,Hefei 230037,China;Anhui Province Key Laboratory of Electronic Restriction,Hefei 230037,China;Unit 32032,Beijing 100094,China;Unit 92118 Beijixing Boat,Zhoushan 316000,Zhejiang,China)

机构地区：[1]国防科技大学脉冲功率激光技术国家重点实验室,合肥230037 [2]国防科技大学电子对抗学院,合肥230037 [3]电子制约技术安徽省重点实验室,合肥230037 [4]32032部队,北京1000094 [5]92118部队北极星船,浙江舟山316000

出　　处：《空军工程大学学报（自然科学版）》2022年第3期47-52,共6页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：国家自然科学基金(61571446)。

摘　　要：波前传感器自适应光学系统的波前畸变校正效果主要取决于重构波前的精度,而现有的模式法、区域法等方法重构波前精度较低,波前畸变校正性能有待提高。针对这一问题,提出一种基于小波分形插值算法的大气湍流波前畸变重构,在对原始波前进行小波变换的基础上采用分形插值的方法,能够有效提高精度,同时避免高频信息丢失,最后进行小波逆变换得到重构波前。仿真结果表明,与传统的最小方差估计算法相比,该方法重构波前的灰度平均梯度由0.065增加到0.7654,均方根误差由3.2492下降到0.6346。The orbital angular momentum carried by the vortex light enables the capacity of the communication system to effectively expand and meet the increasing communication needs of people.However,when the vortex light is transmitted at the atmosphere,the wavefront will be distorted due to the influence of atmospheric turbulence,resulting in an increase of the bit error rate at the receiving end.In order to ensure the reliability of communication,the correction for the distorted wave-front is needed.Adaptive optics technology with wavefront sensors can produce a phase of conjugation with distorted wave-front in counteracting the effects of atmospheric turbulence.The principle is to utilize the wavefront sensor for detecting the wavefront information and reconstructing the wavefront distortion,and finally correcting it by the wavefront corrector.The effect of wavefront distortion correction mainly depends on the accuracy of the reconstructed wavefront.The existing model method,area method and other methods have low accuracy of reconstructed wave-front.In the paper,a wavefront reconstruction based on wavelet fractal interpolation algorithm is proposed.Compared with the traditional MVE algorithm,the root mean square error of the reconstructed wavefront is reduced from 3.2492 to 0.6346,and the reconstructed wavefront error is greatly reduced.At the same time,the accuracy of reconstructed wavefront is also improved.

关 键 词：大气湍流 波前畸变 波前重构 小波分形插值 

分 类 号：TN929.12[电子电信—通信与信息系统]