632 citations · 2.2k across the 83 of their papers we have counts for
8 papers · 1 filter
Diffusion in infinite and semi-infinite lattices with long-range coupling
Alejandro J. Martinez, Mario I. Molina
We prove that for a one-dimensional infinite lattice, with long-range coupling among sites, the diffusion of an initial delta-like pulse in the bulk, is ballistic at all times. We…
Optical surface modes in the presence of nonlinearity and disorder
M. I. Molina, N. Lazarides, G. P. Tsironis
We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveg…
Surface solitons in quasiperiodic nonlinear photonic lattices
Alejandro J. Martinez, Mario I. Molina
We study discrete surface solitons in semi-infinite, one-dimensional, nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and Aubry-André types, and explore different…
Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states
Cristian Mejía-Cortés, J. M. Soto-Crespo, Rodrigo A. Vicencio +1
By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of st…
Surface bound states in the continuum
Mario I. Molina, Andrey E. Miroshnichenko, Yuri S. Kivshar
We introduce a novel concept of surface bound states in the continuum, i.e. surface modes embedded into the linear spectral band of a discrete lattice. We suggest an efficient meth…
Nonlinear light localization around the core of a `holey' fiber
Francis H. Bennet, Mario I. Molina
We examine localized surface modes in the core of a photonic crystal fiber composed of a finite nonlinear (Kerr) hexagonal waveguide array with a central defect. Using a discrete a…