36 citations · 112 across the 11 of their papers we have counts for
11 papers
Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media
Jared Weed, Bowei Wu, Jingfang Huang +1
In this paper, we present an accurate numerical method for the time-harmonic Maxwell's equations for bi-periodic multilayered media with quasi-periodic incident waves using the Met…
Robust fast direct integral equation solver for three-dimensional quasi-periodic scattering problems with a large number of layers
Bowei Wu, Min Hyung Cho
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 Gre…
Quadrature by Two Expansions for Evaluating Helmholtz Layer Potentials
Jared Weed, Lingyun Ding, Jingfang Huang +1
In this paper, a Quadrature by Two Expansions (QB2X) numerical integration technique is developed for the single and double layer potentials of the Helmholtz equation in two dimens…
Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis
Min Hyung Cho, Jingfang Huang
In this paper, we present a numerical algorithm for the accurate and efficient computation of the convolution of the frequency domain layered media Green's function with a given de…
Taylor expansion based fast Multipole Methods for 3-D Helmholtz equations in Layered Media
Bo Wanga, Duan Chen, Bo Zhang +3
In this paper, we develop fast multipole methods for 3D Helmholtz kernel in layered media. Two algorithms based on different forms of Taylor expansion of layered media Green's func…
Fast Multipole Method For 3-D Helmholtz Equation In Layered Media
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, a fast multipole method (FMM) is proposed to compute long-range interactions of wave sources embedded in 3-D layered media. The layered media Green's function for th…
Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media
Min Hyung Cho
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 wave…
A Heterogeneous FMM for 2-D Layered Media Helmholtz Equation I: Two & Three Layers Cases
Min Hyung Cho, Jingfang Huang, Dangxing Chen +1
In this paper, we will 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…
Efficient and accurate computation of electric field dyadic Green's function in layered media
Min Hyung Cho, Wei Cai
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.…
Accurate and Efficient Nystrom Volume Integral Equation Method for the Maxwell equations for Multiple 3-D Scatterers
Duan Chen, Wei Cai, Brian Zinser +1
In this paper, we develop an accurate and efficient Nyström volume integral equation (VIE) method for the Maxwell equations for large number of 3-D scatterers. The Cauchy Principal…
Robust fast direct integral equation solver for quasi-periodic scattering problems with a large number of layers
Min Hyung Cho, Alex H. Barnett
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 d…