Effect of electromagnetically induced transparency on the spectrum of defect modes in a one-dimensional photonic crystal

We studied the transmission spectrum of a one-dimensional photonic crystal containing a defect layer in which electromagnetically induced transparency is possible. The analysis is performed taking into account the spatial inhomogeneity of interacting fields in the photonic crystal. It is found that the transmission spectrum of such a photonic crystal depends on the spatial overlap of defect modes excited by probe and control radiations. It is shown that electromagnetically induced transparency can result in a considerable narrowing of the defect mode spectrum.