Two kinds of adaptive optics (COAT) are presented : one with segmented mirrors (COAT = 19) with 19 mirrors and actuators and the other with a continuously deformable mirror and 7 actuators. Each mirror of COAT 19 is moved by a piezoelectric actuator performing correction and modulation (dithering in the 12-24 kHz band). Detection of signal modulations in the light backscattered from the target gives means to lock the system and then to correct disturbing effects due to atmosphere, laser, mirrors… In the second kind of COAT (deformable mirror), the works of correction and modulation (dithering) are performed by two separate mirrors. They both are cooled to support high-energy laser beam.