Conical diffraction in honeycomb lattices

被引：99

作者：

Ablowitz, Mark J. ^{[1
]}

Nixon, Sean D. ^{[1
]}

Zhu, Yi ^{[1
]}

机构：

[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

来源：

PHYSICAL REVIEW A | 2009年 / 79卷 / 05期

基金：

美国国家科学基金会;

关键词：

Dirac equation; geometrical theory of diffraction; honeycomb structures; light diffraction; Schrodinger equation;

D O I：

10.1103/PhysRevA.79.053830

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Conical diffraction in honeycomb lattices is analyzed. This phenomenon arises in nonlinear Schrodinger equations with honeycomb lattice potentials. In the tight-binding approximation the wave envelope is governed by a nonlinear classical Dirac equation. Numerical simulations show that the Dirac equation and the lattice equation have the same conical diffraction properties. Similar conical diffraction occurs in both the linear and nonlinear regimes. The Dirac system reveals the underlying mechanism for the existence of conical diffraction in honeycomb lattices.

引用

页数：6

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