Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions

WK Park - Journal of Computational Physics, 2012 - Elsevier
In this manuscript, a fast imaging of thin, curve-like electromagnetic inclusions completely
hidden in the homogeneous domain with smooth boundaries is considered. By creating an …

Structure analysis of direct sampling method in 3D electromagnetic inverse problem: near-and far-field configuration

S Kang, M Lambert - Inverse Problems, 2021 - iopscience.iop.org
In this paper, the structure analysis of the direct sampling method (DSM) in the 3D
electromagnetic inverse scattering problem in both near-field and far-field configurations is …

Simulation of novel method for material's weak bianisotropy detection

K Zeyde, D Hong, Y Zhou - 2021 3rd International Conference …, 2021 - ieeexplore.ieee.org
In this paper, we briefly describe a general approach to simulating a novel method for
detecting the effect of chirality in weak bianisotropic media. The basis of the proposed …

An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering

Y Capdeboscq, R Griesmaier, M Knöller - Multiscale Modeling & Simulation, 2021 - SIAM
We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin
tubular scattering object in three-dimensional free space. We establish an asymptotic …

Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies

I Fernandez-Corbaton, R Griesmaier, M Knöller… - Journal of …, 2023 - Elsevier
Electromagnetic waves im**ing on three-dimensional helical metallic metamaterials have
been shown to exhibit chiral effects of large magnitude both theoretically and in …

Maximizing the electromagnetic chirality of thin dielectric tubes

T Arens, R Griesmaier, M Knöller - SIAM Journal on Applied Mathematics, 2021 - SIAM
Any time-harmonic electromagnetic wave can be uniquely decomposed into left and right
circularly polarized components. The concept of electromagnetic chirality (em-chirality) …

The topological ligament in shape optimization: a connection with thin tubular inhomogeneities

C Dapogny - The SMAI Journal of computational mathematics, 2021 - numdam.org
In this article, we propose a formal method for evaluating the asymptotic behavior of a shape
functional when a thin tubular ligament is added between two distant regions of the …

Small perturbations in the type of boundary conditions for an elliptic operator

E Bonnetier, C Dapogny, MS Vogelius - Journal de Mathématiques Pures …, 2022 - Elsevier
In this article, we study the impact of a change in the type of boundary conditions of an
elliptic boundary value problem. In the context of the conductivity equation we consider a …

EM perturbation of the single point PEC scatterer in multilayer structure for GPR

K Zeyde, D Hong, A Vardugina… - 2020 Ural Symposium …, 2020 - ieeexplore.ieee.org
In this article, we describe the use of the perturbation approach to determine the
characteristics of the discontinuity in a two-layer model at sufficiently low frequencies of the …

Fast method for analyzing the electromagnetic field perturbation by small spherical scatterers

KM Zeyde, AY Vardugina, SV Marvin - 2020 - elar.urfu.ru
In this work, we consider a special approximation of the general perturbation formula for the
electromagnetic field by a set of electrically small inhomogeneities located in the domain of …