| Abstract: | By means of the theory of electromagnetic wave propagation and transfer matrix method,this paper investigates the band rules for the frequency spectra of three kinds of one-dimensional (1D) aperiodic photonic crystals (PCs),generalized Fibonacci GF(p,1),GF(1,2),and Thue-Morse (TM) PCs,with negative refractive index (NRI) materials.It is found that all of these PCs can open a broad zero-nˉ gap,TM PC possesses the largest zero-nˉ gap,and with the increase of p,the width of the zero-nˉ gap for GF(p,1) PC becomes smaller.This characteristic is caused by the symmetry of the system and the open position of the zero-nˉ gap.It is found that for GF(p,1) PCs,the possible limit zero-nˉ gaps open at lower frequencies with the increase of p,but for GF(1,2) and TM PCs,their limit zero-nˉ gaps open at the same frequency.Additionally,for the three bottom-bands,we find the interesting perfect self-similarities of the evolution structures with the increase of generation,and obtain the corresponding subband-number formulae.Based on 11 types of evolving manners Q i (i=1,2,...,11) one can plot out the detailed evolution structures of the three kinds of aperiodic PCs for any generation. |
