期刊
2D MATERIALS
卷 2, 期 2, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/2053-1583/2/2/024003
关键词
photonic graphene; edge waves; topological insulators
资金
- US Air Force Office of Scientific Research [FA9550-12-1-0207]
- NSF [DMS-1310200, CHE1125935]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [1125935] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1310200] Funding Source: National Science Foundation
The propagation of localized edge modes in photonic honeycomb lattices, formed from an array of adiabatically varying periodic helical waveguides, is considered. Asymptotic analysis leads to an explicit description of the underlying dynamics. Depending on parameters, edge states can exist over an entire period or only part of a period; in the latter case an edge mode can effectively disintegrate and scatter into the bulk. In the presence of nonlinearity, a 'time'-dependent one-dimensional nonlinear Schrodinger (NLS) equation describes the envelope dynamics of edge modes. When the average of the 'time varying' coefficients yields a focusing NLS equation, soliton propagation is exhibited. For both linear and nonlinear systems, certain long lived traveling modes with minimal backscattering are found; they exhibit properties of topologically protected states.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据