基于WF算法的涡旋电磁波波前畸变校正

Wavefront Distortion Correction of Vortex Electromagnetic Wave Based on WF Algorithm

涡旋电磁波在自由空间中传输时由于大气湍流的干扰会使其发生波前畸变,影响通信质量,因此需要使用相位校正算法进行波前校正。提出一种改进的WF算法,通过结合涡旋电磁波在大气湍流中的传输特性在算法初始阶段引入了约束规则,可以有效地避免WF算法在迭代次数不足的情况下造成的校正结果不佳的问题。仿真实验结果表明,使用改进的WF算法校正后相位的相对均方根误差比未校正相位的相对均方根误差减少了0.3678,比使用WF算法校正后相位的相对均方根误差进一步地降低了0.032,即改进的WF算法能够更好的对涡旋电磁波波前畸变进行校正。

When the vortex electromagnetic waves propagate in free space, the interference of atmospheric turbulence will cause the wavefront distortion and affect the communication quality. Therefore, it is necessary to use the phase correction algorithm for wavefront correction. This paper proposed an improved Wirtinger Flow(WF) algorithm. By combining the propagation characteristics of vortex electromagnetic wave in atmospheric turbulence, the constraint rules are introduced in the initial stage of the algorithm, which can effectively avoid the poor correction results caused by the insufficient iterations of the WF algorithm. The simulation experiment results show that the relative root mean square error of the phase corrected by the improved WF algorithm is reduced by 0.3678 compared with the one of uncorrected phase, and further by 0.032 compared with the one corrected by the WF algorithm. Namely, the improved WF algorithm can better correct the vortex electromagnetic wavefront distortion.