28 citations · 87 across the 41 of their papers we have counts for
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Negative index materials: some mathematical perspectives
Hoai-Minh Nguyen
Negative index materials are artificial structures whose refractive index has a negative value over some frequency range. These materials were postulated and investigated theoretic…
Electromagnetic wave propagation in media consisting of dispersive metamaterials
Hoai-Minh Nguyen, Valentin Vinoles
We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials…
Cloaking an arbitrary object via anomalous localized resonance: the cloak is independent of the object
Hoai-Minh Nguyen
In this paper, we present various schemes of cloaking an arbitrary objects via anomalous localized resonance and provide their analysis in two and three dimensions. This is a way t…
Superlensing using complementary media and reflecting complementary media for electromagnetic waves
Hoai-Minh Nguyen
In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysi…
Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients
Hoai-Minh Nguyen
This paper is devoted to the study of the behavior of the unique solution , as , to the equation \begin{equation*} \dive(\epss_δA \nabla u_δ) + k^2 \ep…
Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking
Hoai-Minh Nguyen
In this paper, we study approximate cloaking of active devices for the Helmholtz equation in the whole space of dimension 2 or 3 using the scheme introduced by Kohn, Shen, Vogelius…