activity
20212024
most citedTransmission properties of time-dependent one-dimensional metamaterials

10 citations · 14 across the 8 of their papers we have counts for

collaborators

9 papers

physics.optics2024★ 1 cited

Effective Medium Theory for Time-modulated Subwavelength Resonators

Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen +1

This paper provides a general framework for deriving effective material properties of one-dimensional, time-modulated systems of subwavelength resonators. It applies to subwaveleng…

math-ph2024

Scattering from time-modulated subwavelength resonators

Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen +1

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of couple…

math.AP2023★ 3 cited

The Non-Hermitian Skin Effect With Three-Dimensional Long-Range Coupling

Habib Ammari, Silvio Barandun, Jinghao Cao +3

We study the non-Hermitian skin effect in a three-dimensional system of finitely many subwavelength resonators with an imaginary gauge potential. We introduce a discrete approximat…

math.AP2023

Mathematical foundations of the non-Hermitian skin effect

Habib Ammari, Silvio Barandun, Jinghao Cao +2

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prov…

math.AP2023★ 10 cited

Transmission properties of time-dependent one-dimensional metamaterials

Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen +1

We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for whic…

math.AP2023

Edge modes in subwavelength resonators in one dimension

Habib Ammari, Silvio Barandun, Jinghao Cao +1

We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyse both Hermitian and non-Hermitian systems. Subwavelength res…

math.AP2022

Transmission properties of space-time modulated metamaterials

Habib Ammari, Jinghao Cao, Xinmeng Zeng

We prove the possibility of achieving exponentially growing wave propagation in space-time modulated media and give an asymptotic analysis of the quasifrequencies in terms of the a…

math.AP2022

Unidirectional edge modes in time-modulated metamaterials

Habib Ammari, Jinghao Cao

We prove the possibility of achieving unidirectional edge modes in time-modulated supercell structures. Such finite structures consist of two trimers repeated periodically. Because…

math.AP2021

Non-reciprocal wave propagation in space-time modulated media

Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen

We prove the possibility of achieving non-reciprocal wave propagation in space-time modulated media and give an asymptotic analysis of the non-reciprocity property in terms of the…