  Using the transfer-matrix approach and solving time-domain differential
equations, we analyze the loss compensation mechanism in multilayer systems
composed of an absorbing transparent conductive oxide and dielectric doped with
an active material. We reveal also another regime with the possibility of
enhanced transmission with suppressed reflection originating from the resonant
properties of the multilayers. For obliquely incident and evanescent waves,
such enhanced transmission under suppressed reflection turns into the
reflectionless regime, which is similar to that observed in the PT-symmetric
structures, but does not require PT symmetry. We infer that the reflectionless
transmission is due to the full loss compensation at the resonant wavelengths
of the multilayers.
