  Several aspects of interplay between Anderson localization and coherent
amplification/absorption, and aspect of mirrorless laser for a laser-active
(amplifying) disordered dielectric medium have been addressed. We have
calculated the statistics of the reflection coefficient and the associated
phase for a light wave reflected from a coherently amplifying/absorbing
one-dimensional disordered dielectric medium for different lengths, different
disorder strengths and different "amplification"/"absorption" parameters of the
disordered sample. Problems with modeling coherent amplification/absorption by
complex potential have been discussed. We have shown an alternative way to
model the coherent absorption. Several conceptual and physical aspect for
coherently amplifying/absorbing media with disorder also have been discussed.
