PHOTONIC LOCALIZATION IN ONE-DIMENSIONAL K-COMPONENT FIBONACCI STRUCTURES

We studied the photonic localization of one-dimensional k-component Fi bonacci structures (KCFS's), in which k different intervals are ordere d according to a substitution rule. By using a transfer-matrix method, the optical transmission through KCFS's is obtained. It is demonstrat ed that the transmission coefficient has a rich structure, which depen ds on the wavelength of light and the number of different incommensura te intervals k. For the KCFS's with an identical ic, by increasing the layer number of the sequences. more and more transmission dips develo p and some of them approach zero transmission, which may finally make a one-dimensional photonic band gay. For a series of finite KCFS's, by increasing the number of different incommensurate intervals k, the to tal transmission over the spectral region of interest decreases gradua lly and the width of photonic band gap becomes larger. This property m ay be useful in the design of the high-performance optical and electro nic devices, As for the infinite KCFS's, tile transmission coefficient is singularly continuous and multifractal analysis is employed to cha racterize the transmission spectra. A dimensional spectrum of singular ities associated with the transmission spectrum f(alpha) demonstrates that the light propagation in the KCFS's presents scaling properties a nd hence shows a genuine multifractality.