| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1552818 | Superlattices and Microstructures | 2015 | 7 Pages |
•Zero-n¯ gap in two-dimensional metamaterial photonic crystals.•Cut-off frequency in two-dimensional DNG metamaterial photonic crystals.•Light-matter interaction in DNG, SNG-E and SNG-M metamaterials.
We have theoretically studied metamaterial photonic crystals (PCs) composed by air and double negative (DNG) material. Numerical data were obtained by means of the finite difference time-domain (FDTD) method, with results indicating the possibility for the existence of the zero-n¯ non-Bragg gap in two-dimensional metamaterial PCs, which has been previously observed only in one-dimensional photonic superlattices. Validity of the present FDTD algorithm for the study of one-dimensional metamaterial PCs is shown by comparing with results for the transmittance spectra obtained by means of the well known transfer matrix method (TMM). In the case of two-dimensional metamaterial PCs, we have calculated the photonic band structure (PBS) in the limiting case of a one-dimensional photonic superlattice and for a nearly one-dimensional PC, showing a very similar dispersion relation. Finally, we show that due to the strong electromagnetic field localization on the constitutive rods, the zero-n¯ non-Bragg gap may only exist in two-dimensional systems under strict geometrical conditions.
