  We propose and demonstrate a method for the adaptive wavefront correction of
dynamic multimode fiber beams for the first time. The wavefront of incident
beam is reconstructed in real-time based on the complete modal information,
which obtained by using the modal decomposition of correlation filter method.
For the proof of principle, both of the modal decomposition and the wavefront
correction are implemented using the same computer-generated hologram, which
encoded into a phase-only spatial light modulator. We demonstrate the wavefront
correction of dynamic multimode beam at a rate of 5Hz and achieve a 1.73-fold
improvement on the average power-in-the-bucket. The experimental results
indicate the feasibility of the real-time wavefront correction for the large
mode area fiber laser by adaptive optics.
