Coupled backward- and forward-propagating solitons in a composite right/left-handed transmission line

Abstract

We study the coupling between backward- and forward-propagating wave modes, with the same group velocity, in a composite right/left-handed nonlinear transmission line. Using an asymptotic multiscale expansion technique, we derive a system of two coupled nonlinear Schr{ö}dinger equations governing the evolution of the envelopes of these modes. We show that this system supports a variety of backward- and forward propagating vector solitons, of the bright-bright, bright-dark and dark-bright type. Performing systematic numerical simulations in the framework of the original lattice that models the transmission line, we study the propagation properties of the derived vector soliton solutions. We show that all types of the predicted solitons exist, but differ on their robustness: only bright-bright solitons propagate undistorted for long times, while the other types are less robust, featuring shorter lifetimes. In all cases, our analytical predictions are in a very good agreement with the results of the simulations, at least up to times of the order of the solitons' lifetimes.

References in corpus (2)

• Nonlinear Electric Metamaterials
• Parametrically Shielding Electromagnetic Fields by Nonlinear Metamaterials

Cited by in corpus (11)

• From Solitons to Rogue Waves in Nonlinear Left-Handed Metamaterials
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• Bright and Gap Solitons in Membrane-Type Acoustic Metamaterials
• Modulation instability and solitons in two-color nematic crystals
• Modulational electrostatic wave-wave interactions in plasma fluids modeled by asymmetric coupled nonlinear Schrödinger (CNLS) equations
• Bright Breathers in Nonlinear Left-Handed Metamaterial Lattices
• Coupled Nonlinear Schrödinger (CNLS) Equations for two interacting electrostatic wavepackets in a non-Maxwellian fluid plasma model
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Electrostatic wave interaction via asymmetric vector solitons as precursor to rogue wave formation in non-Maxwellian plasmas
• The thermal effect on the left-handedness of the mesoscopic composite right-Left handed transmission line
• Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice