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The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar…

高能物理 - 理论 · 物理学 2009-10-30 Ali Mostafazadeh

We present a new technique for time-domain numerical evolution of the scalar field generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers an efficient way for calculating black hole perturbations,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Leor Barack , Darren A Golbourn

In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary. We will assume that the corresponding far-field pattern is known/measured and we consider two inverse problems.…

偏微分方程分析 · 数学 2024-04-04 Victor Hughes , Isaac Harris , Heejin Lee

We consider the inverse scattering problem for inhomogeneous media of compact support governed by the fractional s-Helmholtz equation, with $0<s<1$, in dimensions $d=1,2,3$. In particular, we study the determination of the support of the…

偏微分方程分析 · 数学 2026-04-30 Dana Zilberberg

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies…

广义相对论与量子宇宙学 · 物理学 2009-01-16 Songbai Chen , Jiliang Jing , Qiyuan Pan

Frequency-domain unsteady lifting-line theory is better developed than its time-domain counterpart. To take advantage of this, this paper transforms time-domain kinematics to the frequency domain, performs a convolution and then returns the…

流体动力学 · 物理学 2021-05-13 Hugh J. A. Bird , Kiran Ramesh

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Lior M. Burko , Gaurav Khanna

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a black hole of mass $M$, the leading-order radiation-reaction effect is an $\mathcal{O}(\mu^2)$ "self-force" acting on the particle, with a corresponding $\mathcal{O}(\mu)$…

广义相对论与量子宇宙学 · 物理学 2017-05-03 Jonathan Thornburg , Barry Wardell

We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Matthew J. S. Beach , Eric Poisson , Bernhard G. Nickel

We compute the self-force on a scalar charge at rest in the spacetime of long throat. We consider arbitrary values of the mass of the scalar field and the constant of nonmnimal coupling of the scalar field to the curvature of spacetime. We…

广义相对论与量子宇宙学 · 物理学 2018-09-19 A. Popov , O. Aslan

This note tackles the problem of the backscattering of a mass-less scalar field in the case of Schwarzschildean space-time. It shows that the effect depends both on a distance from the horizon and on the wave length. The obtained estimates…

天体物理学 · 物理学 2009-11-06 Krzysztof Roszkowski

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

We propose a novel, frequency-domain approach to the analysis of the gravitational-wave ringdown signal of binary black holes and the identification of quasinormal mode frequencies of the remnant. Our approach avoids the issues of spectral…

广义相对论与量子宇宙学 · 物理学 2022-01-11 Eliot Finch , Christopher J. Moore

We present the application of the inverse scattering method to the design of semiconductor heterostructures having a preset dependence of the (conduction) electrons' reflectance on the energy. The electron dynamics are described by either…

介观与纳米尺度物理 · 物理学 2007-05-23 Daniel Bessis , G. Andrei Mezincescu

The self-force acting on a (scalar or electric) charge held in place outside a massive body contains information about the body's composition, and can therefore be used as a probe of internal structure. We explore this theme by computing…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Soichiro Isoyama , Eric Poisson

We discuss a time-harmonic inverse scattering problem for the Helmholtz equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded homogeneous background medium, and we develop a monotonicity…

偏微分方程分析 · 数学 2021-03-01 Roland Griesmaier , Bastian Harrach

Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger equation. In the time-dependent picture, the evolution of an initially localized…

量子物理 · 物理学 2011-05-13 Tobias Kramer

Time-harmonic solutions to the wave equation can be computed in the frequency or in the time domain. In the frequency domain, one solves a discretized Helmholtz equation, while in the time domain, the periodic solutions to a discretized…

数值分析 · 数学 2021-10-26 Christiaan C. Stolk

The proposed numerical method, "FLAME-slab," solves electromagnetic wave scattering problems for aperiodic slab structures by exploiting short-range regularities in these structures. The computational procedure involves special difference…

光学 · 物理学 2017-12-19 Shampy Mansha , Igor Tsukerman , Y. D. Chong

We study the quantum-mechanical decay of a Schwarzschild-like black hole into almost-flat space and weak radiation at a very late time, evaluating quantum amplitudes (not just probabilities) for transitions from initial to final states. No…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. N. St. J. Farley , P. D. D'Eath