Abstract
We investigate the existence of non–Bragg band gaps in 1D aperiodic photonic structures, namely the Fibonacci and Thue–Morse lattices combining ordinary positive index materials and dispersive metamaterials. Both structures present new band gaps which, in contrast with the usual Bragg gaps, are not based on interference mechanisms. One of these non–Bragg gaps, called zero–n̄ gap and corresponding to zero (volume) averaged refractive index, has been reported to be present in Fibonacci lattices. In this paper we extend this result to other aperiodic systems, showing the existence of a zero– n̄ gap also in Thue–Morse lattices. Furthermore, we show that these systems can also support two polarization–selective non–Bragg gaps: the zero permeability, and the zero permittivity gaps. Some distinctive aspects of these gaps are outlined and the impact on the photonic spectra produced by the level of the generation of the aperiodic structure is analyzed.
Highlights
In recent years the study of periodic dielectric structures, photonic crystals (PCs), has been a subject of growing interest due to their panoply of applications
Et al In this paper we investigate the light transmission through 1D aperiodic PCs containing MMs with special attention to the existence of non–Bragg band gaps
Summarizing, the photonic spectra provided by 1D aperiodic multilayers –namely the Fibonacci and Thue–Morse lattices– combining ordinary positive index materials and dispersive metamaterials have been examined
Summary
In recent years the study of periodic dielectric structures, photonic crystals (PCs), has been a subject of growing interest due to their panoply of applications. The most relevant property of PCs is the possibility of generating photonic band gaps (PBGs) for light propagation in certain geometries [1], analogous to the electronic band gaps of a semiconductor This effect has been observed in both one–, two–, and three–dimensional structures in the form of absence of light propagation for specific sets of frequencies Thue–Morse structures present a continuous Fourier spectrum with discrete singularities, so it can be interpreted essentially as a discrete distribution [13] For this reason, a Thue–Morse lattice is not considered a quasiperiodic but a deterministic aperiodic system. Et al. In this paper we investigate the light transmission through 1D aperiodic PCs containing MMs with special attention to the existence of non–Bragg band gaps.
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