128 citations · 1.2k across the 131 of their papers we have counts for
14 papers · 2 filters
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
Enhancement of near-cloaking for the full Maxwell equations
Habib Ammari, Hyeonbae Kang, Hyundae Lee +2
In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered,…
Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CAL…
Invariance Properties of Generalized Polarization Tensors and Design of Shape Descriptors in Three Dimensions
Habib Ammari, Daewon Chung, Hyeonbae Kang +1
We derive transformation formulas for the generalized polarization tensors under rigid motions and scaling in three dimensions, and use them to construct an infinite number of inva…
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity
Habib Ammari, Elie Bretin, Josselin Garnier +3
The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing chara…
Reconstruction of Inhomogeneous Conductivities via the Concept of Generalized Polarization Tensors
Habib Ammari, Youjun Deng, Hyeonbae Kang +1
This paper extends the concept of generalized polarization tensors (GPTs), which was previously defined for inclusions with homogeneous conductivities, to inhomogeneous conductivit…