Resonant solutions in wave phase conjugation induced by a limited magnetoacoustic conjugator
Abstract
This paper presents, in one dimension, the general analytical solution of the acoustic phase conjugation in an active medium in contact with passive media of arbitrary impedance. The homogeneous case where no impedance jumps exist at the edge of the active zone is obtained as a particular case. This homogeneous case was the only one treated explicitly in the literature but mostly in the frame of Brillouin scattering. In contrast to this previous work, the present theory is based on a preliminary straightforward analysis using a dual-time-scale method and provides very practical results like the threshold of the supercritical modes, the rate of amplification, and its link with the stress repartition in the conjugator