6 citations · 6 across the 10 of their papers we have counts for
5 papers · 1 filter
Robustness of Valley-Hall Interface Modes Against Sharp Bending
Habib Ammari, Jiayu Qiu
It is well known that band inversion across a straight interface in a periodic medium gives rise to interface modes that are localized near the interface and propagate along it ins…
Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones
Habib Ammari, Jiayu Qiu
We rigorously prove the existence of interface modes in a sharp interface model, which bifurcate from the double Dirac cone as a consequence of the band inversion induced by super-…
Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems
Habib Ammari, Jiayu Qiu
In this paper, we rigorously prove the bulk-edge correspondence for finite two-dimensional ergodic disordered systems. Specifically, we focus on the short-range Hamiltonians with e…
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
Habib Ammari, Jiayu Qiu
This work provides a mathematical framework for elucidating physical mechanisms for confining waves at subwavelength scales in periodic systems of nonlinear resonators. A discrete…
Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
Habib Ammari, Bowen Li, Jun Zou
In this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices.…