Séminaire

Titre :	Tristan Lawrie (University of Nottingham) - A Quantum Graph Approach to Metamaterial Design
Contact :	Sarah Al Humaikani
Date :	19/09/2024
Lieu :	Amphi 2329, ENSTA Paris

Since the turn of the century, metamaterials have gained a large amount of attention due to their potential for possessing highly nontrivial and exotic properties—such as cloaking or perfect lensing. There has been a great push to create reliable mathematical models that accurately describe the required material composition. Here, we consider a quantum graph approach to metamaterial design. An infinite square periodic quantum graph acts as a paradigm for a 2D metamaterial. The metamaterial properties are understood and engineered by manipulating the band diagram of the periodic structure. The engineered properties are demonstrated in terms of the reflection and transmission behaviour of Gaussian beam solutions at an interface between different metamaterials. To engineer the interfaces transmissive properties, the boundary is decorated with additional graph structures, constructing a Fourier filter. The metamaterial interface then acts as an angular filter, designed to yield perfect transmission at customizable and discrete angles of incidence.