We consider three problems for the Helmholtz equation in interior and exterior domains in
R^d (d=2,3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for …

It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the
outgoing solution operator of the Helmholtz equation grows exponentially through a …

We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz
equation in the exterior of a bounded obstacle when one of the following three conditions …

We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a
nontrapping obstacle, with boundary data coming from plane-wave incidence, by the …

In this paper, the scattering problem of an open cavity is considered. By use of the numerical
solution to the scattering problem of a slit, we obtain the numerical Green function for the …

The paper is concerned with the three-dimensional electromagnetic scattering from a large
open rectangular cavity that is embedded in a perfectly electrically conducting infinite …

This paper gives a brief survey of recent developments on mathematical modeling and
analysis of the open cavity scattering problems, which arise in diverse scientific areas and …

Consider the scattering of electromagnetic waves from a large rectangular cavity embedded
in the infinite ground plane. There are two fundamental polarizations for the scattering …

Consider the scattering of a time-harmonic electromagnetic plane wave by an open cavity
which is embedded in a perfectly electrically conducting infinite ground plane. This paper …

This paper presents an approach using the method of separation of variables applied to 2D
Helmholtz equations in the Cartesian coordinate. The solution is then computed by a series …