One-dimensional fractal photonic crystal and its characteristics

Abstract

In this paper, a fractal structure is introduced into a one-dimensional (1D) photonic crystal to design a new structure of photonic crystal. We create three typical fractal photonic crystals: the Cantor-like fractal photonic crystal (CLFPC), golden-section fractal photonic crystal (GSFPC), and Fibonacci fractal photonic crystal (FFPC). The transmission spectra of CLFPCs, GSFPCs, and FFPCs are simulated and analyzed. The calculation result shows that the transmission spectrum and the group velocity of a CLFPC are self-similar and in accord with the self-similarity in structure, and the peak numbers in the transmission spectra of the GSFPC and FFPC also follow the principals of special fractal structures.