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 …
nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led …
Pseudospin and nonlinear conical diffraction in Lieb lattices
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 …
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 …
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
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 …
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
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 …
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
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 …
dislocated edge-centered square lattice. The band structure and Brillouin zones of this novel …
Linear and nonlinear electromagnetic waves in modulated honeycomb media
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 …
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
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 …
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 …
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 …
According to the plane wave expansion method, we obtain the band structure of KL, in which …