Light Transmission Through Symmetric Fibonacci-Class Multilayers

We have studied the optical transmission of one-dimensional Fibonacci-class quasiperiodic multilayers, which possess a mirror symmetry. We find that the transmission coefficient is unity for all studied sequences at the central wavelength λ=λ₀, where λ₀= (1/4)n_A(B)d_A(B) with n_A(B) and d_A(B) being the index of refraction and thickness of two kinds of layers, respectively. Two-cycle or three-cycle has been found around λ=λ₀, which is different from the features of the sequences without symmetric structure.