We show that there is a limit to the maximum efficiency achievable for correcting optical distortion (beam healing) using phase conjugation. This limit is quantum thermodynamic and stems from the impossibility of reducing the beam entropy by a lossless retrace of the phase aberrator.
Optical phase conjugation is a process that leads to the correction of wavefront distortions under conditions such that a beam of light passes twice in opposite directions through an aberrating optical medium. Analogously, the state of polarization of an optical beam can become aberrated, (for example, by passing through a stressed optical component), and these polarization aberrations can be removed by the process of polarization conjugation. In polarization conjugation, the polarization unit vector of the incident wave is replaced by its complex conjugate in the generated wave.
One more promising application of the four-wave mixing process is the correction of arbitrary phase aberrations in an optical beam. In such applications, the fidelity as well as the efficiency of the phase-conjugation process needs to be considered in practice. The process which has received the most extensive attention to date is degenerate four-wave mixing (DFWM). The nonlinear interaction in this case is known to result in a perfect phase-conjugate provided high-quality pump beams are available and competing effects such as local self-focusing (or defocusing) can be neglected.
Phase conjugated light waves reverse phase distortions in media with negligible absorption or for paraxial beam propagation [1]. We examine here a different case in which a volume conjugating medium is itself imperfect, possessing phase distortions and a conjugating efficiency dependent on grating spatial frequency. We show theoretically that for multiplexed signals, cross-talk-free phase-conjugation is obtained only for negligible spatial-frequency dispersion and a phase-conjugated reference or pump wave, and we present supporting experimental results.