Photonic band structures of one dimensional multilayered dielectric-magnetic photonic crystals

The one dimensional dielectric-magnetic photonic crystals (PCs) are materials with periodically varying permittivity and periodically varying permeability along the same direction. These PCs offer more degrees of freedom in designing photonic crystals. Most dielectric-magnetic PCs are fabricated with only two layers in each repeating unit cell. However, more than two layers in each periods are phenomenologically richer. This article presents the generalized formulation for the computation of Bloch wavenumbers and photonic bands of multilayered dielectric-magnetic PC based on the transfer matrix method. The formulation is valid for the lossy and lossless constituent materials. The numerical results for a dielectric only, magnetic only, and a dielectric-magnetic PC are also presented and discussed for the axial as well as oblique propagation.