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Full-wave numerical methods based on quasinormal modes (QNMs) offer valuable physical insights and computational efficiency for analyzing electromagnetic resonators. However, despite their advantages, many researchers in electromagnetism…

Optics · Physics 2026-05-01 Tong Wu , Philippe Lalanne

In this paper we study the scalar and electromagnetic perturbations of an extended black hole in F(R) gravity. The quasinormal modes in two cases are evaluated and studied their behavior by plotting graphs in each case. To study the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Saneesh Sebastian , V. C. Kuriakose

We investigate quasinormal modes, late-time tails, and grey-body factors for massive scalar perturbations in the background of the Dymnikova regular black hole. By applying both the time-domain integration and the WKB method with Pad\'e…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Bekzod Rahmatov , Fayzullo Shayimov , Ikram Davletov

This paper introduces a novel deep learning method, called DeepWKB, for estimating the invariant distribution of randomly perturbed systems via its Wentzel-Kramers-Brillouin (WKB) approximation $u_\epsilon(x) = Q(\epsilon)^{-1}…

Dynamical Systems · Mathematics 2025-08-14 Yao Li , Yicheng Liu , Shirou Wang

In various applications one is interested in quantum dynamics at intermediate evolution times, for which the adiabatic approximation is inadequate. Here we develop a quasi-adiabatic approximation based on the WKB method, designed to work…

Quantum Physics · Physics 2017-07-28 Siddharth Muthukrishnan , Daniel A. Lidar

Available laser technology is opening the possibility of testing QED experimentally in the so-called strong-field regime. This calls for developing theoretical tools to investigate strong-field QED processes in electromagnetic fields of…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Di Piazza

We have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\omega,$ by constructing the Pad\'e approximants of the (formal) series for $\omega^{2}$. It is shown that for…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jerzy Matyjasek , Michał Opala

We analyze quasinormal modes, grey-body factors, and absorption cross-sections of a massive scalar field in the background of a Schwarzschild black hole surrounded by a Hernquist dark-matter halo. The quasinormal spectrum is obtained…

General Relativity and Quantum Cosmology · Physics 2025-12-11 B. C. Lütfüoğlu

We often encounter a situation that black hole solutions can be regarded as continuous deformations of simpler ones, or modify general relativity by continuous parameters. We develop a general framework to compute high-order perturbative…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Yasuyuki Hatsuda , Masashi Kimura

The present work is based upon a parametric reconstruction of the effective or total equation of state in a model for the universe with accelerated expansion. The constraints on the model parameters are obtained by maximum likelihood…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-27 Ankan Mukherjee

We investigate the quasinormal modes of massless scalar and electromagnetic perturbations in charged Euler--Heisenberg black holes surrounded by perfect fluid dark matter. The quasinormal frequencies are calculated using the asymptotic…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Chengfu Feng , Sheng-Yuan Li , Xufen Zhang , Ming Zhang , De-Cheng Zou , Rui-Hong Yue

The recently reported compactified hyperboloidal method has found wide use in the numerical computation of quasinormal modes, with implications for fields as diverse as gravitational physics and optics. We extend this intrinsically…

Computational Physics · Physics 2024-09-05 Christopher Burgess , Friedrich Koenig

Inspired by the quark-antiquark confinement potential, Mazharimousavi et al. \cite{Mazharimousavi:2023okd} proposed a nonlinear electrodynamics (NED) model, and based on this model, they constructed a charged black hole solution that…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Jie Liang , Dong Liu , Zheng-Wen Long

The supersymmetric-WKB series is shown to be such that the SWKB quantisation condition has corrections in powers of h^2 only and with explicit overall factors of E. The results also suggest more efficient methods of calculating the…

Quantum Physics · Physics 2007-05-23 D. T. Barclay

The objective of this paper is to construct the accurate (say, to 11 decimal places) frequencies of the quasinormal modes of the 5-dimensional Schwarzschild-Tangherlini black hole using three major techniques: the Hill determinant method,…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Jerzy Matyjasek

We consider Loop Quantum Gravity(LQG) motivated $4D$ polymerized black hole and study shadow, quasinormal modes, and Hawking radiation. We obtain analytical expressions of photonsphere radius and shadow radius and study their qualitative…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Sohan Kumar Jha

This paper presents a polynomial-time $1/2$-approximation algorithm for maximizing nonnegative $k$-submodular functions. This improves upon the previous $\max\{1/3, 1/(1+a)\}$-approximation by Ward and \v{Z}ivn\'y~(SODA'14), where…

Data Structures and Algorithms · Computer Science 2015-02-27 Satoru Iwata , Shin-ichi Tanigawa , Yuichi Yoshida

We propose a general framework for decoding quantum error-correcting codes with generative modeling. The model utilizes autoregressive neural networks, specifically Transformers, to learn the joint probability of logical operators and…

Quantum Physics · Physics 2023-07-19 Hanyan Cao , Feng Pan , Yijia Wang , Pan Zhang

We study the quasi-normal modes (QNMs) of a massless scalar perturbation to the extremal M5-branes metric by using the exact WKB analysis. The exact WKB analysis provides two exact QNMs conditions depending on the argument of the complex…

High Energy Physics - Theory · Physics 2023-05-31 Keita Imaizumi

We consider initial value problems for $\varepsilon^2\,\varphi''+a(x)\,\varphi=0$ in the highly oscillatory regime, i.e., with $a(x)>0$ and $0<\varepsilon\ll 1$. We discuss their efficient numerical integration on coarse grids, but still…

Numerical Analysis · Mathematics 2023-10-03 Anton Arnold , Jannis Körner