Backward-energy Propagation in Nonlinear Magnetic Metamaterials

We study analytically and numerically the propagation of the energy in a discrete one-dimensional array of nonlinear magnetic metamaterials. The quasi-discrete approximation allows deriving the nonlinear Schrödinger equation and the determination of bright solution. The full integration of the discrete nonlinear model shows that: the modulated wave and local energy travel to the left-handed side and maintain their shape during the propagation; the total energy is constant. The nonlinear magnetic metamaterial is a good candidate for the propagation of the stable electromagnetic wave in engineering.