The dynamic behavior of a two-dimensional 3 × 3 planar space coupled
multimode laser array is simulated. The results show that the total intensity and the
intensity of each corresponding mode between the sub diagonal of the laser array and
the paired laser pairs (laser 2 and 4, laser 3 and 7, laser 6 and laser 8) parallel to the sub
diagonal can achieve chaos synchronization, and there is mode competition between
the modes of the same laser. By calculating and analyzing the power spectrum and
Lyapunov exponent, the laser system is in chaos.