Now showing items 41-58 of 58

    • Rosberg, Christian R.; Neshev, Dragomir N.; Krolikowski, Wieslaw; Mitchell, Arnan; Vicencio Poblete, Rodrigo; Molina Gálvez, Mario; Kivshar, Yuri S. (AMERICAN PHYSICAL SOC, 2006-08-25)
      We report on the observation of surface gap solitons found to exist at the interface between uniform and periodic dielectric media with defocusing nonlinearity. We demonstrate strong self-trapping at the edge of a LiNbO3 ...
    • Molina Gálvez, Mario; Lazarides, N.; Tsironis, G. P. (AMER PHYSICAL SOC, 2012-01-31)
      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 waveguide arrays. Using the discrete ...
    • Mattheakis, Marios; Oikonomou, Thomas; Molina Gálvez, Mario; Tsironis, George P. (IEEE, 2016)
      Surface plasmon polaritons (SPPs) are coherent electromagnetic surface waves trapped on an insulator-conductor interface. The SPPs decay exponentially along the propagation due to conductor losses, restricting the SPPs ...
    • Vicencio Poblete, Rodrigo; Molina Gálvez, Mario; Kivshar, Yuri S. (2005)
      We study the dynamics of discrete vector solitons in arrays of weakly coupled birefringent optical waveguides with cubic nonlinear response. We start with a modulational instability analysis, followed by approximate ...
    • Molina Gálvez, Mario (American Physical Society, 2018)
      © 2018 American Physical Society. We examine a one-dimensional linear waveguide array containing a single saturable waveguide. By using the formalism of lattice Green functions, we compute in closed form the localized mode ...
    • Yue, Haitian; Molina Gálvez, Mario; Kevrekidis, Panayotis G.; Karachalios, Nikos I. (American Institute of Physics Inc., 2014)
      © 2014 AIP Publishing LLC.In the present work, we revisit the issue of the self-trapping dynamical transition at a nonlinear impurity embedded in an otherwise linear lattice. For our Schrödinger chain example, we present ...
    • Molina Gálvez, Mario (Nature, 2018)
      We study the bulk and surface nonlinear modes of a modi ed one-dimensional discrete nonlinear Schrödinger (mDNLS) equation. A linear and a modulational stability analysis of the lowest- order modes is carried out. While ...
    • Molina Gálvez, Mario; Kartashov, Yaroslav V.; Torner, Lluis; Kivshar, Yuri S. (AMER PHYSICAL SOC, 2008-05)
      We numerically study both linear and nonlinear surface modes in semi-infinite chirped two-dimensional photonic lattices in the framework of an effective discrete nonlinear model. We demonstrate that the lattice chirp can ...
    • Molina Gálvez, Mario; Miroshnichenko, Andrey E.; Kivshar, Yuri S. (AMER PHYSICAL SOC, 2012-02-13)
      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 method for creating such surface modes and ...
    • Molina Gálvez, Mario; Kartashov, Yaroslav V.; Torner, Lluis; Kivshar, Yuri S. (2007)
      We study surface modes at the edge of a semi-infinite chirped photonic lattice in the framework of an effective discrete nonlinear model. We demonstrate that the lattice chirp can change dramatically the conditions for the ...
    • Martínez, Alejandro J.; Molina Gálvez, Mario (AMER PHYSICAL SOC, 2012-01-04)
      We study discrete surface solitons in semi-infinite, one-dimensional, nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and Aubry-Andre types, and explore different families of localized surface modes, as ...
    • Vicencio Poblete, Rodrigo; Molina Gálvez, Mario; Kivshar, Yuri S. (2004)
      An effective method for controlling nonlinear switching of discrete solitons in arrays of weakly coupled optical waveguides was discussed. The key ideas of the array engineering by means of a steplike variation of the ...
    • Molina Gálvez, Mario (Nature, 2021)
      We examine a fractional discrete nonlinear Schrodinger dimer, where the usual first-order derivative in the time evolution is replaced by a non integer-order derivative. The dimer is nonlinear (Kerr) and PT-symmetric, and ...
    • Molina Gálvez, Mario (2013)
      In this paper, we examine a nonlinear magnetoinductive dimer and compute its linear and nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the rotating-wave approximation. A linear stability analysis ...
    • Molina Gálvez, Mario (Elsevier, 2020)
      We study a fractional version of the two-dimensional discrete nonlinear Schrodinger (DNLS) equation, where the usual discrete Laplacian is replaced by its fractional form that depends on a fractional exponent s that ...
    • Muñoz, Francisco J.; Turitsyn, Sergei K.; Kivshar, Yuri S.; Molina Gálvez, Mario (American Physical Society, 2017)
      © 2017 American Physical Society.We examine the switching dynamics of discrete solitons propagating along two coupled discrete arrays which are twisted to form a Möbius strip. We analyze the potential of the topological ...
    • Molina Gálvez, Mario; Vicencio Poblete, Rodrigo; Kivshar, Yuri S. (2005)
      We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide ...
    • Mejía Cortés, Cristian; Soto Crespo, J. M.; Vicencio Poblete, Rodrigo; Molina Gálvez, Mario (AMER PHYSICAL SOC, 2011-04-29)
      We have found several families of vortex soliton solutions in two-dimensional discrete dissipative systems governed by the cubic-quintic complex Ginzburg-Landau equation. There are symmetric and asymmetric solutions, and ...