Mingaleev SF, Kivshar YS, Sammut RA
Optical Sciences Centre, Australian National University, Canberra ACT 0200, Australia.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Oct;62(4 Pt B):5777-82. doi: 10.1103/physreve.62.5777.
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, being described by a nonlinear lattice model with long-range coupling and nonlocal nonlinearity. We reveal the existence of different types of nonlinear guided mode that are also localized in the waveguide direction, and describe their unique properties, including bistability.
我们发展了二维光子晶体波导中的非线性局域模（本征局域模或离散呼吸子）理论。我们考虑了由嵌入到其他方面完美的线性二维光子晶体中的非线性介质棒阵列所创建的不同几何形状的波导，并证明了此类波导中的有效相互作用是非局域的，由具有长程耦合和非局域非线性的非线性晶格模型描述。我们揭示了在波导方向上也局域化的不同类型非线性导模的存在，并描述了它们的独特性质，包括双稳性。
