Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators

MJ Ablowitz, JT Cole - Physica D: Nonlinear Phenomena, 2022 - Elsevier
In recent years, there has been considerable interest in the study of wave propagation in
nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led …

Pseudospin and nonlinear conical diffraction in Lieb lattices

D Leykam, O Bahat-Treidel, AS Desyatnikov - Physical Review A—Atomic …, 2012 - APS
We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an
intersection point between two conical bands and a flat band. We define a pseudospin …

Nonlinear waves in shallow honeycomb lattices

MJ Ablowitz, Y Zhu - SIAM Journal on Applied Mathematics, 2012 - SIAM
The linear spectrum and corresponding Bloch modes of shallow honeycomb lattices near
Dirac points are investigated. Via perturbation theory, the dispersion relation is found to …

Coupled backward-and forward-propagating solitons in a composite right-and left-handed transmission line

GP Veldes, J Cuevas, PG Kevrekidis… - Physical Review E …, 2013 - APS
We study the coupling between backward-and forward-propagating wave modes, with the
same group velocity, in a composite right-and left-handed nonlinear transmission line. Using …

Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity

S Shao, NR Quintero, FG Mertens, F Cooper, A Khare… - Physical Review E, 2014 - APS
We consider the nonlinear Dirac equation in 1+ 1 dimension with scalar-scalar self
interaction g 2 κ+ 1 (Ψ¯ Ψ) κ+ 1 and with mass m. Using the exact analytic form for rest frame …

Asymmetric conical diffraction in dislocated edge-centered square lattices

H Zhong, R Wang, MR Belić, Y Zhang, Y Zhang - Optics express, 2019 - opg.optica.org
We investigate linear and nonlinear evolution dynamics of light beams propagating along a
dislocated edge-centered square lattice. The band structure and Brillouin zones of this novel …

Linear and nonlinear electromagnetic waves in modulated honeycomb media

P Hu, L Hong, Y Zhu - Studies in Applied Mathematics, 2020 - Wiley Online Library
Wave dynamics in topological materials has been widely studied recently. A striking feature
is the existence of robust and chiral wave propagations that have potential applications in …

Artificial graphene and related photonic lattices generated with a simple method

Y Gao, D Song, S Chu, Z Chen - IEEE Photonics Journal, 2014 - ieeexplore.ieee.org
We fabricate honeycomb and related photonic lattices in a nonlinear crystal with a simple
method that is based on the optical Fourier transformation through an amplitude mask (six …

[HTML][HTML] Optical properties of electrically tunable two-dimensional photonic lattice structures formed in a holographic polymer-dispersed liquid crystal film: Analysis and …

M Miki, R Ohira, Y Tomita - Materials, 2014 - mdpi.com
We report on theoretical and experimental investigations of optical wave propagations in two-
dimensional photonic lattice structures formed in a holographic polymer-dispersed liquid …

[HTML][HTML] Conical diffractions in Kagome lattice

X Liu, J Yang, X Guo, J Zhang, P Li, Y Liu - Results in Physics, 2021 - Elsevier
We investigate the conical diffraction in Kagome lattice (KL) theoretically and numerically.
According to the plane wave expansion method, we obtain the band structure of KL, in which …