Large photonic band gaps and strong attenuations of two-segment-connected Peano derivative networks

In this Letter, based on ancient Peano curves we construct four kinds of interesting Peano derivative networks composed of one-dimensional (1D) waveguides and investigate the optical transmission spectra and photonic attenuation behavior of electromagnetic (EM) waves in one- and two-segment-connected networks. It is found that for some two-segment-connected networks large photonic band gaps (PBGs) can be created and the widths of large PBGs can be controlled by adjusting the matching ratio of waveguide length and are insensitive to generation number. Diamond- and hexagon-Peano networks are good selectable structures for the designing of optical devices with large PBG(s) and strong attenuation(s).

► Peano and Peano derivative networks composed of 1D waveguides are designed.
► Large PBGs with strong attenuations have been created by these fractal networks.
► New approach for designing optical devices with large PBGs is proposed.
► Diamond- and hexagon-Peano networks with d2:d1=2:1d2:d1=2:1 are good selectable structures.