37 citations · 58 across the 9 of their papers we have counts for
10 papers
Solving forward and inverse wave scattering via boundary integral equations and deep learning. Applications to cloaking design
Camille Carvalho, Elsie Cortes, Symeon Papadimitropoulos +1
We propose a deep learning framework based on an encoder-decoder architecture for the design and evaluation of cloaking devices, demonstrated in this work for two-dimensional wave…
Discretization in Multilayered Media with High Contrasts: Is It All About the Boundaries?
Camille Carvalho, Stéphanie Chaillat, Elsie Cortes +1
Wave propagation in multilayered media with high material contrasts poses significant numerical challenges, as large variations in wavenumbers lead to strong reflections and comple…
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…
Scattering resonances in unbounded transmission problems with sign-changing coefficient
Camille Carvalho, Zoïs Moitier
It is well-known that classical optical cavities can exhibit localized phenomena associated to scattering resonances, leading to numerical instabilities in approximating the soluti…
Modified representations for the close evaluation problem
Camille Carvalho
When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of laye…
A Fully Fourth Order Accurate Energy Stable Finite Difference Method for Maxwell's Equations in Metamaterials
Puttha Sakkaplangkul, Vrushali Bokil, Camille Carvalho
We present a novel fully fourth order in time and space {finite difference method for the time domain Maxwell's equations} in metamaterials. We consider a Drude metamaterial model…
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…
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…
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…
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel +1
We investigate in a D setting the scattering of time-harmonic electromagnetic waves by a plasmonic device, represented as a non dissipative bounded and penetrable obstacle with…