activity
20172023
most citedAsymptotic analysis for close evaluation of layer potentials

20 citations · 26 across the 9 of their papers we have counts for

collaborators

9 papers

eess.SP2023

Synthetic aperture radar imaging below a random rough surface

Arnold D. Kim, Chrysoula Tsogka

Motivated by applications in unmanned aerial based ground penetrating radar for detecting buried landmines, we consider the problem of imaging small point like scatterers situated…

eess.SP2023

Synthetic aperture imaging of dispersive targets

Arnold D. Kim, Chrysoula Tsogka

We introduce a dispersive point target model based on scattering by a particle in the far-field. The synthetic aperture imaging problem is then expanded to identify these targets a…

eess.SP2022★ 4 cited

Tunable high-resolution synthetic aperture radar imaging

Arnold D. Kim, Chrysoula Tsogka

We have recently introduced a modification of the multiple signal classification (MUSIC) method for synthetic aperture radar. This method depends on a tunable, user-defined paramet…

math.AP2021★ 1 cited

High-resolution, quantitative signal subspace imaging for synthetic aperture radar

Arnold D. Kim, Chrysoula Tsogka

We consider synthetic aperture radar imaging of a region containing point-like targets. Measurements are the set of frequency responses to scattering by the targets taken over a co…

physics.class-ph2021

Dynamics of Acoustically Bound Particles

Nicholas St. Clair, Dominique Davenport, Arnold D. Kim +1

It is well known that acoustic fields can produce forces on single particles, however they can also induce inter-particle forces due to multiple scattering events. This multi-parti…

math.NA2021

Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles

Camille Carvalho, Arnold D. Kim, Lori Lewis +1

We study scattering by a high aspect ratio particle using boundary integral equation methods. This problem has important applications in nanophotonics problems, including sensing a…

math.NA2018★ 1 cited

Asymptotic approximations for the close evaluation of double-layer potentials

Camille Carvalho, Shilpa Khatri, Arnold D. Kim

When using the boundary integral equation method to solve a boundary value problem, the evaluation of the solution near the boundary is challenging to compute because the layer pot…

math.NA2018

Close evaluation of layer potentials in three dimensions

S. Khatri, A. D. Kim, Ricado Cortez +1

We present a simple and effective method for evaluating double-and single-layer potentials for Laplace's equation in three dimensions close to the boundary. The close evaluation of…

math.NA2017★ 20 cited

Asymptotic analysis for close evaluation of layer potentials

Camille Carvalho, Shilpa Khatri, Arnold D Kim

We study the evaluation of layer potentials close to the domain boundary. Accurate evaluation of layer potentials near boundaries is needed in many applications, including fluid-st…