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 …

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 …

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 …

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 …

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 …

We consider the Dirichlet boundary–value problem for the Helmholtz equation in a non–
locally perturbed half–plane. This problem models time–harmonic electromagnetic …

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 …

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 …

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 …

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 …