Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers - art. no. 245104

We study the transmission properties of Light through the symmetric Fibonac ci-class [SFC(n)] quasiperiodic dielectric multilayers, which possess a mir ror symmetry. For a normal incidence of Light, many perfect transmission pe aks (the transmission coefficients are unity) are numerically obtained. The transmission coefficient exhibits a two-cycle feature in a family of the S FC(n) with an odd n, while a three-cycle feature in another family with an even It. The scaling factors f(n), which give a description of the self-sim ilar behaviors of transmission spectra, are analytical obtained. Let m(ij)( (n))(k) (i,j = 1,2) be the elements of the total transfer matrix of the kth generation of SFC(n); it is proven that the positions (wavelength) of the perfect transmission peaks can be uniquely determined by n(12)((n))(k) (k) = 0. The analytical results are very well confirmed by the numerical calcul ations.