Broadband quasi- PT -symmetry sustained by inhomogeneous broadening of the spectral line

It is shown that inhomogeneous broadening of the spectral line of active impurities may sustain simultaneously parity (P) and time (T) symmetries of a medium, in a finite range of field frequencies, which is forbidden by the causality principle in media without broadening. If a spectral width of a propagating pulse is less than the inhomogeneous broadening, the medium for such a pulse becomes quasi-PT-symmetric. The effect of the broadband quasi-PT-symmetry in a finite frequency domain, is illustrated by examples of unidirectional diffraction of pulses in Bragg and Laue geometries, propagating in photonic crystals.