Now showing items 21-40 of 58

    • Naether, Uta; Molina Gálvez, Mario (2011)
      We study the scattering of magnetoinductive plane waves by internal (external) capacitive (inductive) defects coupled to a one-dimensional split-ring resonator array. We examine a number of simple defect configurations ...
    • Naether, Uta; Rivas, Daniel E.; Larenas, Manuel A.; Molina Gálvez, Mario; Vicencio Poblete, Rodrigo (Optical Society of America (OSA), 2009)
      We study a waveguide array with an embedded nonlinear saturable impurity. We solve the impurity problem in closed form and find the nonlinear localized modes. Next, we consider the scattering of a small-amplitude plane ...
    • Molina Gálvez, Mario (American Physical Society, 2015)
      We examine the effect of adding PT-symmetric gain and loss terms to quasi-one-dimensional lattices (ribbons) that possess flat bands. We focus on three representative cases: the Lieb ribbon, the kagome ribbon, and the stub ...
    • Molina Gálvez, Mario; Vicencio Poblete, Rodrigo; Kivshar, Yuri S. (ELSEVIER, 2006-01-30)
      We study the properties of localized impurity modes and the transmission of plane waves across a general nonlinear impurity embedded in an infinite one-dimensional linear chain. Using the formalism of the lattice Green ...
    • Molina Gálvez, Mario; Kivshar, Yuri S. (2007)
      We discuss the formation of guided modes localized at the interface separating two different periodic photonic lattices. Employing the effective discrete model, we analyze linear and nonlinear interface modes and also ...
    • Xu, Zhiyong; Molina Gálvez, Mario; Kivshar, Yuri S. (2009)
      We study the properties of two-color nonlinear localized modes which may exist at the interfaces separating two different periodic photonic lattices in quadratic media, focusing on the impact of phase mismatch of the ...
    • Molina Gálvez, Mario; Kivshar, Yuri S. (OPTICAL SOC AMER, 2008-12-01)
      We analyze localization of light at the interfaces separating square and hexagonal photonic lattices, as recently realized experimentally for two-dimensional laser-written waveguides in silica glass with self-focusing ...
    • Mejía Cortés, Cristian; Molina Gálvez, Mario (American Physical Society, 2015)
      We study a one-dimensional binary optical lattice in the presence of diagonal disorder and alternating gain and loss, and examine the light transport phenomena for localized and extended input beams. In the pure PT ...
    • López González, Dany; Molina Gálvez, Mario (Amer Physical Soc, 2016)
      We examine analytically and numerically the spectral properties of three quasi-one-dimensional lattices, namely, kagome, Lieb, and stub lattices, which are characterized for having flatbands in their spectrum. It is observed ...
    • Miroshnichenko, Andrey E.; Molina Gálvez, Mario; Kivshar, Yuri S. (2007)
      We study the properties of junctions created by the crossing of N identical branches of linear discrete networks. We reveal that for N > 2 such a junction creates a topological defect and supports two types of spatially ...
    • Molina Gálvez, Mario (2012)
      We examine localization of light in nonlinear (Kerr) kagome lattices in the shape of narrow strips of varying width. For the narrowest ribbon, the band structure features a flat band leading to linear dynamical trapping ...
    • Molina Gálvez, Mario (ELSEVIER, 2008-10-13)
      We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical ...
    • Mejía Cortés, Cristian; Castillo Barake, Jorge; Molina Gálvez, Mario (Optical Soc Amer, 2020)
      We address the issue of nonlinear modes in a two-dimensional waveguide array, spatially distributed in the Lieb lattice geometry, and modeled by a saturable non-linear Schrodinger equation. In particular, we analyze the ...
    • Lazarides, Nikos; Molina Gálvez, Mario; Tsironis, George P.; Kivshar, Yuri S. (2009-09-14)
      We study the dynamics of a pair of nonlinear split-ring resonators (a ‘metadimer’) excited by an alternating magnetic field and coupled magnetically. Linear metadimers of this kind have been recently used as the elementary ...
    • Molina Gálvez, Mario; Kivshar, Yuri S. (2009)
      We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one ...
    • Molina Gálvez, Mario; Kivshar, Yuri S. (OPTICAL SOC AMER, 2008-05-01)
      We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of ...
    • Martínez, Alejandro; Molina Gálvez, Mario; Turitsyn, Sergei; Kivshar, Yuri (American Physical Society, 2015)
      We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multicore waveguides with balanced gain and loss.We demonstrate that, in general, the system can ...
    • Molina Gálvez, Mario (2006)
      We examine the formation of localized states on a generalized nonlinear impurity located at or near the surface of a semi-infinite two-dimensional (2D) square lattice. Using the formalism of lattice Green functions, we ...
    • Vicencio Poblete, Rodrigo; Cantillano, Camilo; Morales Inostroza, Luis; Real, Bastián; Mejía Cortés, Cristian; Weimann, Steffen; Szameit, Alexander; Molina Gálvez, Mario (American Physical Society, 2015)
      We demonstrate the first experimental realization of a dispersionless state, in a photonic Lieb lattice formed by an array of optical waveguides. This engineered lattice supports three energy bands, including a perfectly ...
    • Szameit, Alexander; Molina Gálvez, Mario; Heinrich, Matthias; Dreisow, Felix; Keil, Robert; Nolte, Stefan; Kivshar, Yuri S. (OPTICAL SOC AMER, 2010-08-15)
      We study experimentally light localization at phase-slip waveguides and at the intersection of phase-slips in a two-dimensional (2D) square photonic lattice. Such system allows to observe a variety of effects, including ...