Wave properties of Fibonacci-sequence photonic crystals containing single-negative materials

•Fibonacci-sequence photonic crystals are made of single-negative materials.•In oblique incidence, additional gaps or dips near the plasma frequency appear.•The Bloch theorem is compared with the reflectance spectrum in parallel.•The additional bands and dips are dependent on the Fibonacci-sequence number.•Omnidiretional gaps are present in the single-negative frequency range.

Electromagnetic wave properties of a Fibonacci-sequence photonic crystal (FSPC) made of single-negative materials are theoretically investigated. It is found that, in the oblique incidence, such a kind of photonic crystal exhibits additional photonic bands or dips in the vicinity of either magnetic plasma frequency or electric plasma frequency. The additional photonic bands or dips corresponding to magnetic plasma frequency occur only for the TE wave, whereas those corresponding to electric plasma frequency occur only for the TM wave. In addition, we find that there exist omnidiretional gaps in such a single-negative FSPC.