Abstract
We perform a comparative study of the Anderson localization of light beams in disordered layered photonic nanostructures that, in the limit of periodic layer distribution, possess either a Dirac point or a Bragg gap in the spectrum of the wavevectors. In particular, we demonstrate that the localization length of the Anderson modes increases when the width of the Bragg gap decreases, such that in the vanishingly small bandgap limit, namely when a Dirac point is formed, even extremely high levels of disorder are unable to localize the optical modes residing near the Dirac point. A comparative analysis of the key features of the propagation of Anderson modes formed in the Bragg gap or near the Dirac point is also presented. Our findings could provide valuable guidelines in assessing the influence of structural disorder on the functionality of a broad array of optical nanodevices.
Highlights
2.5 tm=25 nm tm=45 nm of surface-plasmon polaritons (SPPs) formed in one-dimensional (1D) layered metallic-dielectric nanostructures possesses ADIDPs19,20, provided that the spatial average of the permittivity of the lattice is zero
Fabrication processes inherently introduce a certain level of structural disorder upon producing periodic structures, and it is important to investigate whether this disorder would destroy the DPs preventing the experimental observations of DP-related physics
We perform a comparative study of the effect of structural disorder on optical properties of one-dimensional (1D) photonic nanostructures that, in the momentum space, possess either a DP or a Bragg gap (BG)
Summary
2.5 tm=25 nm tm=45 nm of surface-plasmon polaritons (SPPs) formed in one-dimensional (1D) layered metallic-dielectric nanostructures possesses ADIDPs19,20, provided that the spatial average of the permittivity of the lattice is zero. The effects of disorder on the structural DPs have been investigated in the particular case of optical honeycomb waveguide lattices, the main finding being that the DP-associated chiral symmetry would be preserved or damaged, depending on the nature of the disorder[22]. We perform a comparative study of the effect of structural disorder on optical properties of one-dimensional (1D) photonic nanostructures that, in the momentum space, possess either a DP or a Bragg gap (BG). The photonic modes of nanostructures having BGs, on the other hand, are much more prone to mode localization. We have established these conclusions by performing both a detailed mode analysis and direct beam propagation simulations
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