Nonlinear wave dynamics in honeycomb lattices
نویسندگان
چکیده
منابع مشابه
Nonlinear wave dynamics in honeycomb lattices
We study the nonlinear dynamics of wave packets in honeycomb lattices and show that, in quasi-onedimensional configurations, the waves propagating in the lattice can be separated into left-moving and right-moving waves, and any wave packet composed of only left (or only right) movers does not change its intensity structure in spite of the nonlinear evolution of its phase. We show that the propa...
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The spectrum of a Schrödinger operator with a perfect honeycomb lattice potential has special points, called Dirac points where the lowest two branches of the spectrum touch. Deformations can result in the merging and disappearance of the Dirac points and the originally intersecting dispersion relation branches separate. Corresponding to these deformations, nonlinear envelope equations are deri...
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We study the dynamics of waves in honeycomb lattices. Wave dynamics in honeycomb lattices exhibits unique phenomena that cannot be observed in any other periodic system, such as conical diffraction [1] and Klein tunneling. The origin of these intriguing phenomena is the conical intersection between the two bands and the presence of two atoms in each unit cell. These two properties make it possi...
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Hamidreza Ramezani,1 Tsampikos Kottos,1,2 Vassilios Kovanis,3 and Demetrios N. Christodoulides4 1Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA 2MPI for Dynamics and Self-Organization, Bunsenstraße 10, D-37073 Göttingen, Germany 3Air Force Research Laboratory, Sensors Directorate, Wright Patterson Air Force Base, Ohio 45433, USA 4College of Optics & Photonics-CRE...
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We describe wave propagation and soliton localization in photonic lattices, which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain exact analytical solutions and identify the key factors defining soliton mobility, including the effects of gap merging and lattice imbalance, underlying th...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2011
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.84.021802