Knotted solitons in nonlinear magnetic metamaterials.
نویسندگان
چکیده
We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes--knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.
منابع مشابه
Spatial solitons in nonlinear left-handed metamaterials
We predict that left-handed metamaterials with nonlinear response can support both TEand TM-polarized self-trapped localized beams, or spatial electromagnetic solitons. Such solitons appear as singleand multi-hump beams, being either symmetric or antisymmetric, and they are modified dramatically by the hysteresis-type magnetic nonlinearity and the effective domains of negative magnetic permeabi...
متن کاملGap solitons in metamaterials
Electromagnetic localization and existence of gap solitons in nonlinear metamaterials, which exhibit a stop band in their linear spectral response, is theoretically investigated. For a self-focusing Kerr nonlinearity, the equation for the electric field envelope with carrier frequency in the stop band where the magnetic permeability μ(ω) is positive and the dielectric permittivity ǫ(ω) is negat...
متن کاملNonlinear left-handed metamaterials
[1] We analyze nonlinear properties of microstructured materials with the negative refractive index, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows changing the material properties from left to right handed and back. Using the finite difference time domain simulations, we study the wave refle...
متن کاملHigher-order effects and ultrashort solitons in left-handed metamaterials.
Starting from Maxwell's equations, we use the reductive perturbation method to derive a second-order and a third-order nonlinear Schrödinger equation, describing ultrashort solitons in nonlinear left-handed metamaterials. We find necessary conditions and derive exact bright and dark soliton solutions of these equations for the electric and magnetic field envelopes.
متن کاملSelf-focusing and envelope pulse generation in nonlinear magnetic metamaterials.
The self-modulation of waves propagating in nonlinear magnetic metamaterials is investigated. Considering the propagation of a modulated amplitude magnetic field in such a medium, we show that the self-modulation of the carrier wave leads to a spontaneous energy localization via the generation of localized envelope structures (envelope solitons), whose form and properties are discussed. These r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 108 13 شماره
صفحات -
تاریخ انتشار 2012