A random-matrix theory is presented for the reflection of light by a d
isordered medium backed by a phase-conjugating mirror. Two regimes are
distinguished, depending on the relative magnitude of the inverse dwe
ll time of a photon in the disordered medium and the frequency shift a
cquired at the mirror. The qualitatively different dependence of the r
eflectance on the degree of disorder in the two regimes suggests a dis
tinctive experimental test for cancellation of phase shifts in a rando
m medium.