Study of Defect Modes in Photonic Band Structure of Magnetic Photonic Crystals by Means of Greens Function

In this paper, we create an analytical model to investigate the localized defect modes associated with a defect cell inserted into a one-dimensional magnetic photonic crystal. The structure is a magnetic superlattice with alternative layers of two different magnetic permeability containing a defect cell which is a layer of different nature (material or/and size) from the other layers. This leads to appearance of several localized defect modes within the magnetic photonic band gap. Our analytical approach is based on the transfer matrix and Green's function methods to calculate the frequency and number of the defect modes which can be controlled easily by varying parameter values of the constituent layers of the magnetic photonic crystal. This method results in an analytical formula for prediction of frequency of the defect modes for both TE and TM polarizations at arbitrary angle of incidence.