Conical diffraction in honeycomb lattices

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.053830· OSTI ID:21313106

Ablowitz, Mark J; Nixon, Sean D; Yi, Zhu ^[1]

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1. Department of Applied Mathematics, University of Colorado, 526 UCB, Boulder, Colorado 80309-0526 (United States)

Conical diffraction in honeycomb lattices is analyzed. This phenomenon arises in nonlinear Schroedinger 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.

• OSTI ID: 21313106
• Journal Information: Physical Review. A, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevA.79.053830; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
COMPUTERIZED SIMULATION
DIFFRACTION
DIRAC EQUATION
HONEYCOMB STRUCTURES
NONLINEAR PROBLEMS
POTENTIALS
SCHROEDINGER EQUATION
VISIBLE RADIATION