Investigation of the electromagnetic field in single-dimensional photonic crystals with defects

Using a transfer matrix method, we calculate the electromagnetic field in one-dimensional photonic crystals with disorder elements and in the presence of defects. It is found that the amplitude of the signal of the electro-magnetic field inside the structure is higher at the frequency of the defect mode than at all other frequencies. If the defect is located in the center of the crystal, the possibility of amplifying the signal amplitude is still preserved despite the presence of the disorder across the thicknesses of the layers. With an increase in the number of layers in the crystal, the field on the defect gets several times stronger.