This article introduces a novel quadrature scheme for the discrete ordinates method (DOM)
called Uniform Constant Weight Quadrature (UCWQ). A new version of the discrete …

Abstract Direct three-dimensional (3D) numerical simulations of acoustic fields in range-
dependent shallow water environments remains a challenge due to environmental …

This paper presents a new methodology for the solution of problems of two-and three-
dimensional acoustic scattering (and, in particular, two-dimensional electromagnetic …

This paper develops an efficient three-dimensional (3D) underwater acoustic propagation
model with multi-layered fluid seabeds based on the equivalent source method (ESM). It …

We present a new boundary integral formulation for time-harmonic wave diffraction from two-
dimensional structures with many layers of arbitrary periodic shape, such as multilayer …

This thesis concerns development of efficient high-order boundary integral equation
methods for the numerical solution of problems of acoustic and electromagnetic scattering in …

In this paper, we develop a Taylor expansion (TE) based fast multipole method (FMM) for
low frequency 3D Helmholtz Green's function in layered media. Two forms of Taylor …

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an
infinite three-layer medium with thousands of wavelength-size dielectric particles embedded …

Concise and explicit formulas for dyadic Green's functions, representing the electric and
magnetic fields due to a dipole source placed in layered media, are derived in this paper …

Frequency-domain wave scattering problems that arise in acoustics and electromagnetism
can be often described by the Helmholtz equation. This work presents a boundary integral …