Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz
obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds …
obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds …
A uniqueness result for scattering by infinite rough surfaces
SN Chandler-Wilde, B Zhang - SIAM Journal on Applied Mathematics, 1998 - SIAM
Consider the Dirichlet boundary value problem for the Helmholtz equation in a non-locally
perturbed half-plane with an unbounded, piecewise Lyapunov boundary. This problem …
perturbed half-plane with an unbounded, piecewise Lyapunov boundary. This problem …
Wave-number-explicit bounds in time-harmonic scattering
SN Chandler-Wilde, P Monk - SIAM Journal on Mathematical Analysis, 2008 - SIAM
In this paper we consider the problem of scattering of time-harmonic acoustic waves by a
bounded, sound soft obstacle in two and three dimensions, studying dependence on the …
bounded, sound soft obstacle in two and three dimensions, studying dependence on the …
Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces
SN Chandler-Wilde, J Elschner - SIAM journal on mathematical analysis, 2010 - SIAM
We consider the problem of scattering of time harmonic acoustic waves by an unbounded
sound soft surface which is assumed to lie within a finite distance of some plane. The paper …
sound soft surface which is assumed to lie within a finite distance of some plane. The paper …
Integral equation methods for scattering by infinite rough surfaces
B Zhang, SN Chandler‐Wilde - Mathematical Methods in the …, 2003 - Wiley Online Library
In this paper, we consider the Dirichlet and impedance boundary value problems for the
Helmholtz equation in a non‐locally perturbed half‐plane. These boundary value problems …
Helmholtz equation in a non‐locally perturbed half‐plane. These boundary value problems …
Scattering by infinite one-dimensional rough surfaces
SN Chandler–Wilde, CR Ross… - Proceedings of the …, 1999 - royalsocietypublishing.org
We consider the Dirichlet boundary–value problem for the Helmholtz equation in a non–
locally perturbed half–plane. This problem models time–harmonic electromagnetic …
locally perturbed half–plane. This problem models time–harmonic electromagnetic …
Time-harmonic acoustic scattering from locally perturbed periodic curves
G Hu, W Lu, A Rathsfeld - SIAM Journal on Applied Mathematics, 2021 - SIAM
For the Dirichlet rough-surface scattering problem in two dimensions, we prove that the
Green's function defined with the angular spectrum representation radiation condition …
Green's function defined with the angular spectrum representation radiation condition …
[PDF][PDF] Scattering by biperiodic layered media: The integral equation approach
T Arens - 2010 - publikationen.bibliothek.kit.edu
The propagation of time-harmonic acoustic waves in a homogeneous medium is described
by the Helmholtz equation∆ u+ k2u= 0, where u denotes (a potential) of the acoustic …
by the Helmholtz equation∆ u+ k2u= 0, where u denotes (a potential) of the acoustic …
A scattering problem for a local perturbation of an open periodic waveguide
A Kirsch - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we consider the propagation of waves in an open waveguide in ℝ 2 where the
index of refraction is a local perturbation of a function which is periodic along the axis of the …
index of refraction is a local perturbation of a function which is periodic along the axis of the …
The limiting absorption principle and a radiation condition for the scattering by a periodic layer
A Kirsch, A Lechleiter - SIAM Journal on Mathematical Analysis, 2018 - SIAM
Scattering of time-harmonic waves from periodic structures at some fixed real-valued wave
number becomes analytically difficult whenever there arise surface waves: These nonzero …
number becomes analytically difficult whenever there arise surface waves: These nonzero …