Metamaterials are artificially engineered devices that go beyond the properties of
conventional materials in nature. Metamaterials allow for the creation of negative refractive …

A comprehensive understanding of the optical properties of atmospheric aerosol is essential
for a variety of applications, such as optical imaging, optical communication, and remote …

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 …

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 …

This article presents a second-kind surface integral equation (SIE) method for the numerical
solution of frequency-domain electromagnetic (EM) scattering problems by locally perturbed …

Kernel functions play a pivotal role in a wide range of scientific computing and machine
learning problems, but they ofter result in dense kernel matrices that impose great …

In this paper, we introduce a new heterogeneous fast multipole method (H-FMM) for 2-D
Helmholtz equation in layered media. To illustrate the main algorithm ideas, we focus on the …

A periodizing scheme and the method of fundamental solutions are used to solve acoustic
wave scattering from doubly-periodic three-dimensional multilayered media. A scattered …

A boundary integral equation method for the 3-D Helmholtz equation in multilayered media
with many quasi-periodic layers is presented. Compared with conventional quasi-periodic …

In this paper, we prove the exponential convergence of the multipole and local expansions,
shifting and translation operators used in fast multipole methods (FMMs) for 3-dimensional …