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Related papers: Platonic quasi-normal modes expansion

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Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR. Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain…

In photonics, Dispersive Quasi-Normal Modes (DQNMs) refer to optical resonant modes, solutions of spectral problems associated with Maxwell's equations for open photonic structures involving dispersive media. Since these DQNMs are the…

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

We investigate the quasinormal modes (QNMs) of Planck stars within the framework of scale-dependent gravity (SDG). In our setup, the running parameter $\alpha$ is fixed to a negative value by matching the effective Newtonian potential to…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Davide Batic , Denys Dutykh , Fabio Scardigli

A study of the non linear modes of a two degree of freedom mechanical system with bilateral elastic stop is considered. The issue related to the non-smoothness of the impact force is handled through a regularization technique. In order to…

Classical Physics · Physics 2013-02-05 El Hadi Moussi , Sergio Bellizzi , Bruno Cochelin , I. Nistor

Quasi-normal modes (QNMs) of the massless scalar wave in $1+1$ dimensions are obtained for a symmetric, finite, triangular barrier potential. This problem is exactly solvable, with Airy functions involved in the solutions. Before obtaining…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Poulami Dutta Roy , Jagannath Das , Sayan Kar

Plasmonic gap structures are among the few configurations capable of generating extreme light confinement, finding applications in surface-enhanced spectroscopy, ultrasensitive detection, photocatalysis and more. Their plasmonic response…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Pu Zhang , Christos Tserkezis , N. Asger Mortensen

We study the quantum dynamics of two quantum dots (QDs) or artificial atoms coupled through the fundamental localized plasmon of a gold nanorod resonator. We derive an intuitive and efficient time-local master equation, in which the effect…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 Rong-Chun Ge , Stephen Hughes

The existence of quasinormal modes (QNMs) for waves propagating on pure de Sitter space has been called into question in several works. We definitively prove the existence of quasinormal modes for massless and massive scalar fields in all…

General Relativity and Quantum Cosmology · Physics 2021-12-16 Peter Hintz , YuQing Xie

All electromagnetic systems, in particular resonators or antennas, have resonances with finite lifetimes. The associated eigenstates, also called quasinormal modes, are essentially non-Hermitian and determine the optical responses of the…

Computational Physics · Physics 2022-12-20 T. Wu , D. Arrivault , W. Yan , P. Lalanne

In our earlier work [13], we introduced a novel quasi-Minnaert resonance for three-dimensional elastic wave scattering in the sub-wavelength regime. Therein, we provided a rigorous analysis of the boundary localization and surface resonance…

Analysis of PDEs · Mathematics 2025-05-28 Huaian Diao , Kaixin Lu , Ruixiang Tang , Weisheng Zhou

We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational perturbations. By employing the spectral method, the…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Davide Batic , Denys Dutykh , Joudy Jamal Beek

Molecular dynamics simulations are a central computational methodology in materials design for relating atomic composition to mechanical properties. However, simulating materials with atomic-level resolution on a macroscopic scale is…

The specificity of modal-expansion formalisms is their capabilities to model the physical properties in the natural resonance-state basis of the system in question, leading to a transparent interpretation of the numerical results. In…

Optics · Physics 2018-09-06 Wei Yan , Rémi Faggiani , Philippe Lalanne

Quasinormal modes (QNMs) are essential for understanding the stability and resonances of open systems, with increasing prominence in black hole physics. We present here the first study of QNMs of optical potentials. We show that solitons…

From butterfly wings to remnants of nuclear detonation, aperiodic order repeatedly emerges in nature, often exhibiting reduced sensitivity to boundaries and symmetry constraints. Inspired by this principle, a paradigm shift is introduced in…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Kawen Li , Hangjin Cho , Richard Norte , Dongil Shin

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Béatrice Bonga , Adam Pound

We derive analytical solutions based on singular Green's functions, which enable efficient computations of scattering simulations or Floquet-Bloch dispersion relations for waves propagating through an elastic plate, whose surface is…

Classical Physics · Physics 2022-09-19 Richard Wiltshaw , Jacopo Maria De Ponti , Richard Vaughan Craster

This paper presents an analytical derivation of a frequency-dependent fundamental solution plus a Green's function for the uni-dimensional, hexagonal quasicrystal sheet subjected to elastic waves under anti-plane strain conditions.…

Analysis of PDEs · Mathematics 2025-11-18 Tsviatko V. Rangelov , George D. Manolis , Petia S. Dineva

We investigate the quasinormal modes (QNMs) of a thick brane model in $f(T)$ gravity with $f(T) = T + \alpha T^2$. Requiring the energy density to remain positive and the scalar field to be real constrains the parameter $\alpha$ to the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Zi-Jie Li , Hai-Long Jia , Qin Tan , Wen-Di Guo