Abstract: A multi-conjugate adaptive optics system is described that reduces aberration-induced fluctuations of amplitude and phase in a beam without requiring the explicit measurement and feedback control of the beam's irradiance profile. The system uses a pair of wavefront correctors conjugated to widely separated planes in a turbulent path, where each of the wavefront correctors is controlled by a decentralized wavefront control loop. The system is configured such that the explicit control of phase fluctuations in a beam using the pair of wavefront correctors results in the implicit control of amplitude fluctuations in the beam. Because the system uses decentralized control loops that do not rely on beam irradiance measurement and feedback, the complexity of the control loop is reduced below that of conventional multi-conjugate adaptive optics systems and is comparable to that of single-conjugate adaptive optics systems.