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We experimentally study the widths of resonances in a two-dimensional microwave cavity at room temperature. By developing a model for the coupling antennas, we are able to discriminate their contribution from those of ohmic losses to the…

Other Condensed Matter · Physics 2007-05-23 Jerome Barthelemy , Olivier Legrand , Fabrice Mortessagne

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

The potential capabilities of resonators based on two dimensional arrays of re-entrant posts is demonstrated. Such posts may be regarded as magnetically-coupled lumped element microwave harmonic oscillators, arranged in a 2D lattices…

Quantum Physics · Physics 2015-11-25 Maxim Goryachev , Michael E. Tobar

We measure Anderson localization in quasi-one-dimensional waveguides in the presence of absorption by analyzing the echo dynamics due to small perturbations. We specifically show that the inverse participation number of localized modes…

Disordered Systems and Neural Networks · Physics 2010-03-11 Joshua D. Bodyfelt , Mei C. Zheng , Tsampikos Kottos , Ulrich Kuhl , Hans-Jürgen Stöckmann

Using the supersymmetric method of random matrix theory within the Heidelberg approach framework we provide statistical description of stationary intensity sampled in locations inside an open wave-chaotic cavity, assuming that the…

Disordered Systems and Neural Networks · Physics 2023-10-16 Yan V. Fyodorov , Elizaveta Safonova

Periodic leaky-wave antennas can be realized with planar low-profile structures supporting the generation of highly directional beams with frequency scanning from backward to forward directions. We propose a method to generate leaky modes…

Applied Physics · Physics 2025-08-11 Yuhuan Tong , Beatrice Ambrogi , Davide Comite , Guido Valerio

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 in the array. We…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

A two-dimensional signal space for intensity- modulated channels is presented. Modulation formats using this signal space are designed to maximize the minimum distance between signal points while satisfying average and peak power…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Gerhard Kramer , Frank R. Kschischang , Erik Agrell

We study 2D-polaritons in an atomically thin dipole-active layer (2D-crystal) placed inside a parallel-plate wavegude, and investigate the possibility to obtain the localized wavegude modes associated with atomic defects. Considering the…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. S. Podolsky

Unintentional but unavoidable fabrication imperfections in state-of-the-art photonic-crystal waveguides lead to the spontaneous formation of Anderson-localized modes thereby limiting slowlight propagation and its potential applications. On…

We consider ultracold atoms in 2D-disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the non-interacting regime. We derive the diffusion constant as function of all relevant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. C. Kuhn , C. Miniatura , D. Delande , O. Sigwarth , C. A. Mueller

We examine the localized mode and the transmission of plane waves across a capacitive impurity of strength $\Delta$, in a 1D bi-inductive electrical transmission line where the usual discrete Laplacian is replaced by a fractional one…

Pattern Formation and Solitons · Physics 2023-10-25 Mario I. Molina

We report on experimental investigation of potential high-performance cavity length stabilization using odd-indexed higher-order spatial modes. Schemes based on higher-order modes are particularly useful for micro-cavities that are used for…

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 nonlinear Schr\"odinger equation. In particular, we analyze the existence and…

We report the observation of weak localization of seismic waves in a natural environment. It emerges as a doubling of the seismic energy around the source within a spot of width a wavelength, that is several tens of meters in our case. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Larose , L. Margerin , B. A. van Tiggelen , M. Campillo

Intrinsic Localized Modes (ILMs) or Discrete Breathers (DBs) are produced through a non-linear vibration localization phenomenon. While Anderson localization is due to lattice defects, the nonlinearity of lattices provides the basis for ILM…

Pattern Formation and Solitons · Physics 2017-09-01 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

Electromagnetic cavity modes in photonic and plasmonic resonators offer rich and attractive regimes for tailoring the properties of light-matter interactions. Yet there is a disturbing lack of a precise definition for what constitutes a…

Mesoscale and Nanoscale Physics · Physics 2013-12-23 Philip Trøst Kristensen , Stephen Hughes

Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state…

Pattern Formation and Solitons · Physics 2015-06-03 M. Sato , S. Imai , N. Fujita , S. Nishimura , Y. Takao , Y. Sada , B. E. Hubbard , B. Ilic , A. J. Sievers

We analyze the existence, stability, and propagation of dissipative discrete localized modes in one- and two-dimensional nonlinear lattices composed of weakly coupled split-ring resonators (SRRs) excited by an external electromagnetic…

By combining computer simulations and a unit cell model approach, we study the apparent bimodality of local structural ordering in a system of confined hard disks. It is shown that a two-dimensional (2D) array of hard disks confined…

Soft Condensed Matter · Physics 2025-04-02 A. Trokhymchuk , T. Bryk , A. Huerta