Optical fractal resonances in Cantor-like photonic crystals.

We theoretically investigate the optical fractal effect in one-dimensional quasiperiodic photonic crystals (PCs). Dielectric multilayers arrayed alternately submit to the Cantor-like sequence rule. The optical fractal phenomenon is induced by modulating the generation number of the dielectric sequence. The optical fractal effect corresponds to a series of resonant modes, and the Cantor-like PCs approve more resonance modes than those in the Cantor PCs with the same order number. The transmission channels of resonances exponentially increase with the increase in the sequence generation number. Furthermore, the central waves of the transmission channels can be regulated by the incident angle flexibly. We expect this paper may pave a new way for the development of wavelength division multiplexers.