Abstract
The Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-like frequency-dependent electric permittivities and magnetic permeabilities. Numerical results for the localization length are obtained via an analytical model, only valid in the case of weak disorder, and also through its general definition involving the transmissivity of the multilayered system. Anomalous λ 4 - and λ -4 -dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, in certain cases, in the long and short wavelength limits, respectively. PACS: 78.67.Pt; 42.25.-p; 46.65.+g; 72.15.Rn
Highlights
The Anderson localization of light in one-dimensional (1D) photonic heterostructures has been the subject of a considerable amount of work in the last few years [1],[2],[3],[4],[5],[6],[7]
The aim of the present work is to theoretically investigate the asymptotic behavior, in both the long and short wavelength limits, of the Anderson localization length in 1D heterostructures obtained by the stacking of non-dispersive right-handed materials (RHM) (A) and Drude-like dispersive left-handed material (LHM) (B) layers
We have investigated the asymptotic behavior of the Anderson localization length of electromagnetic waves in 1D disordered photonic superlattices in which the electric permittivity and magnetic permeability of the dispersive slabs B composing the heterostructure may depend on the wave frequency according to the Drude model
Summary
The Anderson localization of light in one-dimensional (1D) photonic heterostructures has been the subject of a considerable amount of work in the last few years [1],[2],[3],[4],[5],[6],[7]. Disorder affects a wide variety of physical properties of the heterostructure, causes multiple light scattering, originates the extinction of coherent waves propagating through the photonic superlattice, and leads to a dramatic change of the localization properties of the electromagnetic modes. The aim of the present work is to theoretically investigate the asymptotic behavior, in both the long and short wavelength limits, of the Anderson localization length in 1D heterostructures obtained by the stacking of non-dispersive RHM (A) and Drude-like dispersive LHM (B) layers. Both the slabs A and B are characterized by electric permittivities and magnetic permeabilities εA and μA, and εB and μB, respectively.
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