Magnetic Materials in Photonic Crystals

We studied magnetic materials in one-dimensional photonic crystals considering both dielectric constant and magnetic permeability, as an example. The analytical expressions are found not only for the edge frequencies of omnidirectional reflection band's (ORB's) but also for the equiomnidirectional contours of the ORB's. The ORB's can always exist in a periodic array of two alternating layers with different wave impedance although both layers have the same index of refraction. The wider ORB can be easily achieved by the use of magnetic permeability. The dielectric constant and the magnetic permeability have the similar effect on the frequency of defect modes.