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We study the effect of a resonant frequency disorder on the eigenstates and the transport of magnetic energy in a two-dimensional (square) array of split-ring resonators (SRRs). In the absence of disorder, we find the dispersion relation of…

斑图形成与孤子 · 物理学 2021-09-17 Cristian Mejia-Cortes , Mario I. Molina

We present a new numerical approach to the study of disorder and interactions in quasi-1D systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to…

强关联电子 · 物理学 2009-11-10 J M Carter , A MacKinnon

We compute the high frequency quasi-normal modes (QNM) for scalar perturbations of spherically symmetric single horizon black-holes in $(D+2)$-space-time dimensions with generic curvature singularities and having metrics of the form $ds^2 =…

高能物理 - 理论 · 物理学 2010-11-23 Saurya Das , S. Shankaranarayanan

In this paper, we show how the quasinormal modes (QNMs) arise from the perturbations of massive scalar fields propagating in the curved background by using the artificial neural networks. To this end, we architect a special algorithm for…

广义相对论与量子宇宙学 · 物理学 2022-03-22 Ali Övgün , İzzet Sakallı , Halil Mutuk

We study the charge response of conformal field theories (CFTs) at non-zero temperature in 2+1 dimensions using the AdS/CFT correspondence. A central role is played by the quasinormal modes (QNMs), specifically, the poles and zeros of the…

强关联电子 · 物理学 2013-05-01 William Witczak-Krempa , Subir Sachdev

We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so…

无序系统与神经网络 · 物理学 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher , A. Z. Genack , B. Hu , P. Sebbah

The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy…

量子物理 · 物理学 2009-10-31 K. C. Ho , P. T. Leung , Alec Maassen van den Brink , K. Young

The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

广义相对论与量子宇宙学 · 物理学 2024-12-13 Shigefumi Naka , Haruki Toyoda

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the…

光学 · 物理学 2017-06-14 Filippo Alpeggiani , Nikhil Parappurath , Ewold Verhagen , L. Kuipers

In the presence of arbitrary three-dimensional linear media with material loss and amplification, we present an electromagnetic field quantization scheme for quasinormal modes (QNMs), extending previous work for lossy media [Franke et al.,…

量子物理 · 物理学 2022-02-16 Sebastian Franke , Juanjuan Ren , Stephen Hughes

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

广义相对论与量子宇宙学 · 物理学 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

The propagation of light through samples with random inhomogeneities can be described by way of transmission eigenchannels, which connect incoming and outgoing external propagating modes. Although the detailed structure of a disordered…

无序系统与神经网络 · 物理学 2014-04-18 A. Peña , A. Girschik , F. Libisch , S. Rotter , A. A. Chabanov

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

We study the quasi-normal modes (QNM) of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically Anti-de Sitter (AdS) spacetime. Some of the electromagnetic modes do not oscillate, they only decay,…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

We study the random fluctuations of the transmission in disordered quasi-one-dimensional systems such as disordered waveguides and/or quantum wires whose random configurations of disorder are characterized by density distributions with a…

无序系统与神经网络 · 物理学 2018-01-03 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Víctor A. Gopar

We develop a model for the coupling of quasi-normal modes in open photonic systems consisting of two resonators. By expressing the modes of the coupled system as a linear combination of the modes of the individual particles, we obtain a…

光学 · 物理学 2016-11-03 Benjamin Vial , Yang Hao

In this paper, we first establish a Quasinormal Mode (QNM) solver for open resonators made of materials with general dispersion which can be modeled by partial fractions, and develop the corresponding analytical QNM expansion method (QNMEM)…

光学 · 物理学 2024-02-13 Xianshun Ming

Black hole (BH) oscillations known as quasi-normal modes (QNMs) are one of the most important gravitational wave (GW) sources. We propose that higher perturbative order of QNMs, generated by nonlinear gravitational interaction near the BHs,…

天体物理学 · 物理学 2008-12-18 Kunihito Ioka , Hiroyuki Nakano

We investigate the threshold behavior of transmission resonances and quasibound states in the multichannel scattering problems of a one dimensional (1D) time-dependent impurity potential, and the related problem of a single impurity in a…

介观与纳米尺度物理 · 物理学 2007-05-23 Sang Wook Kim , Hwa-Kyun Park , H. -S. Sim , Henning Schomerus

Transmission through disordered samples can be controlled by illuminating a sample with waveforms corresponding to the eigenchannels of the transmission matrix. But can the TM be exploited to selectively excite quasi-normal modes and so…

经典物理 · 物理学 2018-11-21 Matthieu Davy , Azriel Z. Genack