Quasi-discrete microwave solitons in a split ring resonator-based left-handed coplanar waveguide

Details Quasi-discrete microwave solitons in a split ring resonator-based left-handed coplanar waveguide Quasi-discrete microwave solitons in a split ring resonator-based left-handed coplanar waveguide

2011-04-08

arxiv.org/abs/1104.1655v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We study the propagation of quasi-discrete microwave solitons in a nonlinear left-handed coplanar waveguide coupled with split ring resonators. By considering the relevant transmission line analogue, we derive a nonlinear lattice model which is studied analytically by means of a quasi-discrete approximation. We derive a nonlinear Schr{\"o}dinger equation, and find that the system supports bright envelope soliton solutions in a relatively wide subinterval of the left-handed frequency band. We perform systematic numerical simulations, in the framework of the nonlinear lattice model, to study the propagation properties of the quasi-discrete microwave solitons. Our numerical findings are in good agreement with the analytical predictions, and suggest that the predicted structures are quite robust and may be observed in experiments.

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