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

Abstract

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{ö}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.

References in corpus (6)

• Nonlinear properties of left-handed metamaterials
• Nonlinear properties of split-ring resonators
• Nonlinear Electric Metamaterials
• Higher-order effects and ultra-short solitons in left-handed metamaterials
• Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
• Parametrically Shielding Electromagnetic Fields by Nonlinear Metamaterials

Cited by in corpus (2)

• Coupled backward- and forward-propagating solitons in a composite right/left-handed transmission line
• Acoustic solitons in waveguides with Helmholtz resonators: transmission line approach