The Resonant Modes in One-Dimensional Photonic Crystal Parallel Quantum Wells Composed of Negative Index Materials

We propose the one-dimensional photonic crystal quantum well structure composed of two negative metamaterials, the features of which are investigated with scattering matrix method. With this method, the transmittance, reflectance and dispersion relation of electromagnetic wave propagation in photonic crystal are obtained. Moreover, the photonic band structure is given by dispersion relation. For photonic crystal parallel wells the sandwich structure ((MNMP)-N-P-M-q) and four PCs structure ((MNMNq)-N-P-M-q-N-P), the resonant modes exist in the photonic band gaps. The number of resonant modes is varied by changing the period number of the constituent photonic crystals. Meanwhile, the resonant modes is not sensitive to the incident angle increasing, only shift slowly to lower frequency region. Moreover, the resonant modes can be act as multiple ultra-narrow bandwidth filters.