  We study laser generation in 1D distributed feedback lasers with amplifying
and lossy layers. We show that when the lasing frequency differs from the
transition frequencies of the amplifying medium, loss induced lasing may occur
due to the broadening of the resonator mode with increasing loss in the
absorbing layers. This broadening leads to a shift in the lasing frequency
towards the transition frequency. As a result, the cavity mode interaction with
the amplifying medium is enhanced, and the lasing threshold is lowered.
