Abnormal mode splitting in photonic crystals micro-cavity containing highly dispersive metamaterials

We theoretically study abnormal mode splitting in a one-dimensional photonic crystals (PhCs) micro-cavity composed of highly dispersive metamaterials and dielectric. In particular, the abnormal split peaks can be posited in normal and anomalous dispersion regions, respectively. The normal split modes in conventional all-dielectric PhCs are always blue shifted owing to the propagating phases in two kinds of dielectrics decrease with incident angle. Here, based on the phase variation compensation between anomalous dispersion metamaterials and the dielectric, the dispersion of the split mode can be offset and thus red shift abnormal modes splitting can be realized. Moreover, such abnormal splitting modes can be either tuned by the optical properties of the PhCs, but also by the dispersion characteristics of the material. The abnormal splitting modes will possess potential applications for angle-tuned etalon filters, angle-dependent optical sensor, nonlinear optical devices, and so on. (paper)