Solitary electromagnetic waves propagation in the asymmetric oppositely-directed coupler

Abstract

We consider the electromagnetic waves propagating in the system of coupled waveguides. One of the system components is a standard waveguide fabricated from nonlinear medium having positive refraction and another component is a waveguide produced from an artificial material having negative refraction. The metamaterial constituting the second waveguide has linear characteristics and a wave propagating in the waveguide of this type propagates in the direction opposite to direction of energy flux. It is found that the coupled nonlinear solitary waves propagating both in the same direction are exist in this oppositely-directed coupler due to linear coupling between nonlinear positive refractive waveguide and linear negative refractive waveguide. The corresponding analytical solution is found and it is used for numerical simulation to illustrate that the results of the solitary wave collisions are sensible to the relative velocity of the colliding solitary waves.

9 pages,5 figures

References in corpus (5)

• A negative permeability material at red light
• Dual-Band Negative Index Metamaterial: Double-Negative at 813 nm and Single-Negative at 772 nm
• Optical Bistability in Nonlinear Optical Coupler with Negative Index Channel
• Nonlinear optical effects in artificial materials
• Nonlinear guided waves and symmetry breaking in left-handed waveguides

Cited by in corpus (5)

• Modulation instability in high-order coupled nonlinear Schrödinger equations with saturable nonlinearities
• Nonlinear response of a thin metamaterial film containing Josephson junctions
• Solitary waves in Parity-time (PT) symmetric Bragg-grating structure and the existence of Optical Rogue Waves
• Discrete gap solitons in binary positive-negative index nonlinear waveguide arrays with strong second-order couplings
• Quasi-flat bands in waveguide arrays