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 …

This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a
locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field …

Abstract We use the Floquet–Bloch transform to reduce variational formulations of surface
scattering problems for the Helmholtz equation from periodic and locally perturbed periodic …

This paper is concerned with the direct and inverse acoustic or electromagnetic scattering
problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally …

The perfectly matched layer (PML) is a very popular tool in the truncation of wave scattering
in unbounded domains. In [SN Chandler-Wilde and P. Monk, Appl. Numer. Math., 59 (2009) …

This paper is concerned with direct and inverse scattering by a locally perturbed infinite
plane (called a locally rough surface in this paper) on which a Neumann boundary condition …

In this paper, we investigate an inverse source problem for the two-dimensional Helmholtz
equation in a two-layered medium. The interface between two media is assumed to be …

This paper is concerned with time-harmonic acoustic scattering of plane waves in one or two
inhomogeneous half-planes with an unbounded interface. The contrast function is supposed …

Scattering problems for periodic structures have been studied a lot in the past few years. A
main idea for numerical solution methods is to reduce such problems to one periodicity cell …

The scattering of a time‐harmonic plane elastic wave by a two‐dimensional periodic
structure is studied. The grating profile is given by a Lipschitz curve on which the …