9 papers
Nonlinear Modal Reduction for Subwavelength Dielectric Scattering
Habib Ammari, Ioan Gorea, Bowen Li
We study three-dimensional wave scattering by high-index dielectric resonators with Kerr-type nonlinearity under plane-wave incidence, together with the associated nonlinear dielec…
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…
Nonlinear subwavelength resonances and bound states in the continuum in metascreens
Habib Ammari, Yu Gao
This paper establishes a mathematical framework for nonlinear subwavelength resonances and bound states in the continuum (BIC) in an acoustic metascreen with a cubic Kerr nonlinear…
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…
Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators
Habib Ammari, Borui Miao, Jiayu Qiu
This paper develops, analyzes, and validates a fast algorithm for computing guided modes within bent interfaces and non-periodic defects in high-contrast resonator crystals, where…
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-…