Abstract

Metamaterials offer the potential to precisely manipulate electromagnetic wave propagation in ways that cannot be achieved with materials found in nature. The formation and propagation of optical spatial solitons in metamaterials has been already investigated [1]. Here we report the theoretical and numerical investigations on temporal-spectral dynamics of nonlinear extreme events arising from the initial noise-perturbed plane wave in metamaterial waveguides. A typical waveguide structure used here is a planar structure with a metamaterial core and a part of the structure, in the form of the substrate, is replaced with a magnetooptic material. We assume that the core material is isotropic and it has a negative permittivity and negative permeability thus the form of the metamaterials considered here is transparently double-negative [1]. Based on numerical simulations of an appropriate extension to the nonlinear Schrödinger equation (NLSE) including self-steepening and magnetooptic effects [2], Fig. 1(a) illustrates the trajectories of the spontaneous modulation instability (MI) patterns, such as Akhmediev breathers (AB), Kuznetsov-Ma (KM) breathers and Peregrine solitons (PS) [3]. Metamaterials offer the potential to precisely manipulate electromagnetic wave propagation in ways that cannot be achieved with materials found in nature. The formation and propagation of optical spatial solitons in metamaterials has been already investigated [1]. Here we report the theoretical and numerical investigations on temporal-spectral dynamics of nonlinear extreme events arising from the initial noise-perturbed plane wave in metamaterial waveguides. A typical waveguide structure used here is a planar structure with a metamaterial core and a part of the structure, in the form of the substrate, is replaced with a magnetooptic material. We assume that the core material is isotropic and it has a negative permittivity and negative permeability thus the form of the metamaterials considered here is transparently double-negative [1]. Based on numerical simulations of an appropriate extension to the nonlinear Schrödinger equation (NLSE) including self-steepening and magnetooptic effects [2], Fig. 1(a) illustrates the trajectories of the spontaneous modulation instability (MI) patterns, such as Akhmediev breathers (AB), Kuznetsov-Ma (KM) breathers and Peregrine solitons (PS) [3].

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