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We study ``draining bathtub'' as an acoustic analogue of a three-dimensional rotating black hole. Rotating fluid near the sonic horizon necessarily gives rise to the superradiant modes, which are partially responsible for the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wontae Kim , Young-Jai Park , Edwin J. Son , Myung Seok Yoon

The differential cross section for scattering of a Dirac particle in a black hole background is found. The result is the gravitational analog of the Mott formula for scattering in a Coulomb background. The equivalence principle is neatly…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chris Doran , Anthony Lasenby

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

Mathematical Physics · Physics 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes, namely, the ones generated by a Kerr-Newman-Kasuya…

General Relativity and Quantum Cosmology · Physics 2016-07-28 H. S. Vieira , V. B. Bezerra

In this paper, we study the inverse scattering of massive charged Dirac fields in the exterior region of (de Sitter)-Reissner-Nordstr\"om black holes. First we obtain a precise high-energy asymptotic expansion of the diagonal elements of…

Mathematical Physics · Physics 2009-04-15 Thierry Daudé , François Nicoleau

This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

We consider the propagation of a generic scalar field around a rotating and charged black hole. Using the partial wave method, we find, numerically, the total and partial absorption cross sections for different incidence angles. We…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Carolina L. Benone , Luís C. B. Crispino

This study proposes a framework for incorporating wavenumber-domain acoustic reflection coefficients into sound field analysis to characterize direction-dependent material reflection and scattering phenomena. The reflection coefficient is…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-13 Satoshi Hoshika , Takahiro Iwami , Akira Omoto

The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states,…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

Superconducting parametrons in the single-photon Kerr regime, also called KPOs, have been attracting increasing attention in terms of their applications to quantum annealing and universal quantum computation. It is of practical importance…

Quantum Physics · Physics 2021-10-27 S. Masuda , A. Yamaguchi , T. Yamaji , T. Yamamoto , T. Ishikawa , Y. Matsuzaki , S. Kawabata

We solve the Klein-Gordon equation in the presence of the hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection $R$ and transmission $T$ coefficients are calculated in terms…

Quantum Physics · Physics 2020-05-11 Clara Rojas

The X-ray spectra of accreting stellar-mass black hole systems exhibit spectral features due to reflection, especially broad iron K alpha emission lines. We investigate the reflection by the accretion disc that can be expected in the…

Astrophysics · Physics 2009-11-13 R. R. Ross , A. C. Fabian

The reflection spectrum of a probe light in a -type three-level atomic system coupled by an off-resonant standing-wave is investigated experimentally and theoretically. We show that the maximum value of reflection coefficient occurs when…

Quantum Physics · Physics 2011-02-24 Hai-Tao Zhou , Miao-jun Guo , Da-Wei Wang , Jun-Xiang Zhang , Shi-Yao Zhu

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

Optics · Physics 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

Scattering by a short-range potential with time-periodic interaction strength is investigated with a Floquet-scattering theory. Sharp resonances occur, at which the s-wave scattering length can be tuned to large positive and negative…

Quantum Gases · Physics 2025-08-26 Christoph Dauer , Axel Pelster , Sebastian Eggert

Relativistic reflection features are commonly observed in the X-ray spectra of stellar-mass and supermassive black holes and originate from illumination of the inner part of the accretion disk by a hot corona. All the available relativistic…

High Energy Astrophysical Phenomena · Physics 2019-12-02 Shafqat Riaz , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar

We point out that conservation of information implies that remnants produced at the end of black hole evaporation should radiate in the low-frequency spectrum. We model this emission and derive properties of the diffuse radiation emitted by…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Sina Kazemian , Mateo Pascual , Carlo Rovelli , Francesca Vidotto

The relativistically-broadened reflection spectrum, observed in both AGN and X-ray binaries, has proven to be a powerful probe of the properties of black holes and the environments in which they reside. Being emitted from the inner-most…

High Energy Astrophysical Phenomena · Physics 2018-03-28 Corbin Taylor , Christopher S. Reynolds

We study the effect of returning radiation on the shape of the X-ray reflection spectrum in the case of thin accretion disks. We show that the returning radiation mainly influences the observed reflection spectrum for a large black hole…

High Energy Astrophysical Phenomena · Physics 2022-06-17 Thomas Dauser , Javier A García , Amy Joyce , Stefan Licklederer , Riley M T Connors , Adam Ingram , Christopher S Reynolds , Jörn Wilms