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20012023
most citedSurface Plasmon Resonance of Nanoparticles and Applications in Imaging

128 citations · 1.2k across the 131 of their papers we have counts for

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math-ph2023

Stability of the non-Hermitian skin effect

Habib Ammari, Silvio Barandun, Bryn Davies +2

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonator…

math-ph2023

Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators

Habib Ammari, Silvio Barandun, Ping Liu

The aim of this paper is fourfold: (i) to obtain explicit formulas for the eigenpairs of perturbed tridiagonal block Toeplitz matrices; (ii) to make use of such formulas in order t…

math-ph2023★ 2 cited

Spectral convergence in large finite resonator arrays: the essential spectrum and band structure

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen

We show that resonant frequencies of a system of coupled resonators in a truncated periodic lattice converge to the essential spectrum of corresponding infinite lattice. We use the…

math-ph2023

Convergence rates for defect modes in large finite resonator arrays

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen

We show that defect modes in infinite systems of resonators have corresponding modes in finite systems which converge as the size of the system increases. We study the generalized…

math-ph2020

Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations

Habib Ammari, Pierre Millien, Alice L. Vanel

We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium…

math-ph2019

Wave Enhancement through Optimization of Boundary Conditions

Habib Ammari, Oscar Bruno, Kthim Imeri +1

It is well known that changing boundary conditions for the Laplacian from Dirichlet to Neumann can result in significant changes to the associated eigenmodes, while keeping the eig…