Nonlinear localized modes in waveguide bends
نویسندگان
چکیده
Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schrödinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of nonlinear bend modes. 2002 Elsevier Science B.V. All rights reserved.
منابع مشابه
Sharp bends in photonic crystal waveguides as nonlinear Fano resonators.
We demonstrate that high transmission through sharp bends in photonic crystal waveguides can be described by a simple model of the Fano resonance where the waveguide bend plays a role of a specific localized defect.We derive effective discrete equations for two types of the waveguide bends in two-dimensional photonic crystals and obtain exact analytical solutions for the resonant transmission a...
متن کاملNonlinear localized modes at phase slips in two-dimensional photonic lattices
We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one localized mode of this type may exist under special conditions, nonlinearity supports a variety of localized modes including the modes which bifurcate from the symmetric stat...
متن کاملNonlinear localized modes at phase-slip defects in waveguide arrays.
We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear surface modes and discrete solitons. We analyze the stability of the localized modes and their generation in both linear and nonlinear regimes.
متن کاملTwo-color discrete localized modes and resonant scattering in arrays of nonlinear quadratic optical waveguides.
We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide in the array. We show that, depending on the value of the phase mismatch and the input power, such two-color defect modes can be realized in three different localized states...
متن کاملLong-range interaction and nonlinear localized modes in photonic crystal waveguides
We develop the theory of nonlinear localized modes (intrinsic localized modes or discrete breathers) in two-dimensional (2D) photonic crystal waveguides. We consider different geometries of the waveguides created by an array of nonlinear dielectric rods embedded into an otherwise perfect linear 2D photonic crystal, and demonstrate that the effective interaction in such waveguides is nonlocal, b...
متن کامل