Weighted wavefront reconstruction algorithm for multiple laser guide stars adaptive optics system

We present a weighted method of wavefront reconstruction for multiple laser guide stars (LGS) adaptive optics (AO) system. Unlike simple averaging method in the traditional ground layer adaptive optics (GLAO), the weighted method generates different weighting factors according to LGSs' different positions for the reconstructed wavefront from different LGSs. And then the target aberration to correct could be obtained with summation of these wavefronts multiplied by their correspondent weighting factors. Wide-field simulations are presented and analyzed. Experiments in the lab are conducted to validate the method. The weighted method is better than the average method especially near the center area of FOV. At center of FOV, the SR is improved by about 0.2 compared to the average method and the SR decreases with enlargement of FOV. For the first time, the weighted wavefront reconstruction method effectively decreases the reconstruction error in multi-LGSs AO system. The simulation and experimental result show that weighted method is also promising to improve the imaging resolution of LGS adaptive optics systems in astronomical observations.