Bulk plasmon polariton-gap soliton-induced transparency in one-dimensional Kerr-metamaterial superlattices

Abstract

We have performed a theoretical study of various arrangements of one-dimensional heterostructures composed by bilayers made of nondispersive (A)/dispersive linear (B) materials and illuminated by an obliquely incident electromagnetic wave, which are shown to exhibit a robust bulk-like plasmon-polariton gap for frequencies below the plasma frequency. The origin of this gap stems from the coupling between photonic and plasmonic modes that may be of a magnetic (electric) origin in a transversal electric (traversal magnetic) configuration yielding a plasmon-polariton mode. By substituting the nondispersive linear layer by a nonlinear Kerr layer, we have found that, for frequencies close to the edge of the plasmon-polariton gap, the transmission of a finite superlattice presents a multistable behavior and it switches from very low values to the maximum transparency at particular values of the incident power. At these frequencies, for those singular points where transmission becomes maximum, we find localized plasmon-polariton-gap solitons of various orders depending on the particular value of the incident power. Present results reveal, therefore, new gap plasmon-soliton solutions that are hybrid modes stemming from the resonant coupling between the incoming electromagnetic wave and the plasmonic modes of the dispersive material, leading to the transparency of a stack with nonlinear inclusions.

Multiple omnidirectional defect modes and nonlinear magnetic-field effects in metamaterial photonic superlattices with a polaritonic defect

“…30,31 Although in the available literature we can found works about the nonlinear phenomena around the defect modes occurring in metamaterial superlattices with a dielectric defect, [33][34][35] the scientific community attention was mainly focused on the nonlinear effects around the edges of the non-Bragg gaps occurring in these systems. [36][37][38] Thus, there is a lack of attention to the nonlinear optical phenomena in the case of multiple omnidirectional defect modes. Here, we not only shown how to excite several omnidirectional defect modes with the inclusion of a defect layer, but we also study their nonlinear properties, which may have applications in the design and development of multistable omnidirectional filters.…”

Non-Bragg-gap solitons in one-dimensional Kerr-metamaterial Fibonacci heterostructures

“…respectively. In the above expressions [9,10], we have set f = 1.6, F = 40 GHz 2 , β = 0.81 GHz 2 , f μ = 1.0, F μ = 25 GHz 2 , and β μ = 0.814 GHz 2 ; ν is the linear frequency and γ is a phenomenological damping parameter which accounts for absorption and loss effects in the slabs B, both expressed in GHz.…”

“…Also, investigations [9] on alternate stacks of nonlinear-Kerr metamaterial have revealed the existence of a zero-order gap soliton: one finds a soliton-mediated transparency switching, from a state of no transparency in the linear regime to total transparency in the nonlinear regime. Recently, multistability, transmission switching, and n-soliton formation have been reported on Kerr-metamaterial superlattices at the band edge of the PP gap [10].…”

Omnidirectional suppression of Anderson localization of light in disordered one-dimensional photonic superlattices

“…Nevertheless, these are all connected with surface PPs and as we shall see in the following we are interested in bulk plasmon solitons in the vicinity of bulk PP gaps. Substitution of dielectric layers by Kerr-type nonlinear ones in the dielectric/metamaterial bilayers described above has revealed a good deal of phenomena such as induced transparency, multistability [11][12][13][14] and the existence of localized PP solitons [15]. However, practical applications are significantly limited by the inherent and strong energy dissipation, which are inevitable in plasmonic metamaterial nanostructures, although significant effort has been devoted to obtain low-loss devices by optimizing structural geometries [16] and using gain materials [17].…”

“…2 essentially indicate the frequencies in the vicinity of the lower edge of the PP gap for which the transmission becomes negligibly small, i.e., ν = 5.0662 GHz for θ = π/24 and ν = 4.9080 GHz for θ = π/6. Let us now include effects of nonlinearity and loss to study the transmission switching and multistability phenomena [15]. Figure 3 illustrates the transmission switch to one for various discrete values of the incident power, i.e., the nonlinearity induces to several transparency peaks at specific field-intensity values as described in tables 1 and 2, in the particular cases of θ = π/24 and θ = π/6, respectively.…”