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We have obtained the general form of even mode potential function for the gravitational perturbation of a static spherically symmetric spacetime. Considering the minimal-spread Gaussian matter source, parameterized by a smearing length…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Souvik Pramanik , Kumar Das

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 =…

High Energy Physics - Theory · Physics 2010-11-23 Saurya Das , S. Shankaranarayanan

We develop a quasi-normal mode theory (QNMT) to calculate a system's scattering $S$ matrix, simultaneously satisfying both energy conservation and reciprocity even for a small truncated set of resonances. It is a practical reduced-order…

Applied Physics · Physics 2021-09-28 Mohammed Benzaouia , John D. Joannopoulos , Steven G. Johnson , Aristeidis Karalis

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

Using a recently developed perturbation theory for uasinormal modes (QNM's), we evaluate the shifts in the real and imaginary parts of the QNM frequencies due to a quasi-static perturbation of the black hole spacetime. We show the perturbed…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. T. Leung , Y. T. Liu , W. -M. Suen , C. Y. Tam , K. Young

The scattering of electromagnetic waves by resonant systems is determined by the excitation of quasinormal modes (QNMs), i.e., the eigenmodes of the system. This Review addresses three fundamental concepts in relation with the…

Quantum Physics · Physics 2022-03-02 C. Sauvan , T. Wu , R. Zarouf , E. A. Muljarov , P. Lalanne

Quasinormal mode (QNM) gravitational radiation from black holes is expected to be observed in a few years. A perturbative formula is derived for the shifts in both the real and the imaginary part of the QNM frequencies away from those of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. T. Leung , Y. T. Liu , W. -M. Suen , C. Y. Tam , K. Young

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

The ringdown of a perturbed black hole contains fundamental information about space-time in the form of Quasi Normal Modes (QNM). Modifications to general relativity, or extended profiles of other fields surrounding the black hole, so…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Jamie Bamber , Oliver J. Tattersall , Katy Clough , Pedro G. Ferreira

We study the relation between quasi-normal modes (QNMs) and transmission resonances (TRs) in one-dimensional (1D) disordered systems. We show for the first time that while each maximum in the transmission coefficient is always related to a…

Disordered Systems and Neural Networks · Physics 2014-07-21 Yury Bliokh , Valentin Freilikher , Franco Nori

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

Studies into scatterings of photonic structures have been so far overwhelmingly focused on their dependencies on the spatial and spectral morphologies of the incident waves. In contrast, the evolution of scattering properties through…

Optics · Physics 2023-05-19 Chunchao Wen , Jianfa Zhang , Shiqiao Qin , Zhihong Zhu , Wei Liu

Resonances in the form of quasi-normal modes (QNMs) for open scattering systems can be generally identified in the far field through peaks of scattering spectra (\textit{e.g.} cross sections of scattering, extinction and absorption).…

Optics · Physics 2025-03-14 Jingwei Wang , Yuntian Chen , Wei Liu

We study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in $f(R)$ theories. We show how these modes in theories with non-trivial $f(R)$ are fundamentally different from those in General Relativity. In the special…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose

We give insight into the critical problem of an open resonator that is subject to a perturbation outside of its cavity region. We utilize the framework of quasinormal modes (QNMs), which are the natural mode solutions to the open boundary…

Optics · Physics 2024-04-12 Sebastian Franke , Juanjuan Ren , Stephen Hughes

Quasinormal modes are eigenmodes of dissipative systems. For instance, if a spacetime with an event or cosmological horizon is perturbed from its equilibrium state, quasinormal modes arise as damped oscillations with a spectrum of complex…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Joás Venâncio

In the current paper we present some new data on the issue of quasi-normal modes (QNMs) of uniform, neutron and quark stars. These questions have already been addressed in the literature before, but we have found some interesting features…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elcio Abdalla , Davi Giugno

The study of exact quasi-normal modes [QNMs], and their associated quasi-normal frequencies [QNFs], has had a long and convoluted history - replete with many rediscoveries of previously known results. In this article we shall collect and…

Mathematical Physics · Physics 2011-03-21 Petarpa Boonserm , Matt Visser

Modal analysis based on the quasi-normal modes (QNM), also called resonant states, has emerged as a promising way for modeling the resonant interaction of light with open optical cavities. However, the fields associated with QNM in open…

Optics · Physics 2018-08-21 Rémi Colom , Ross McPhedran , Brian Stout , Nicolas Bonod

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh
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