We study a class of design problems in solid mechanics, leading to a variation on the classical question of equi-dimensional embeddability of Riemannian manifolds. In this general new context, we derive a necessary and sufficient existence condition, given through a system of total differential equations, and discuss its integrability. In the classical context, the same approach yields conditio...

Abstract Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of emission that can efficiently combined inverse design, even for topology over thousands ...

Scale separation is often assumed in most homogenization-based topology optimization (TO) frameworks for design of material microstructures. This work goes beyond the mainstream TO contributions by abandoning scale hypothesis. First, it puts to evidence limits approach when size Representative Volume Element (RVE) not negligible with respect structure. Then, a re-localized scheme bridging RVE a...

Une approche est proposée pour obtenir un retard de phase d’onde électromagnétique accordable en s’appuyant sur une méta-structure avec deux couches planes regard l’une l’autre. Le ajusté par l’intermédiaire la variation distance axiale entre les couches. Un contrôle complet l’ellipticité l’onde sortie dispositif atteint des variations à l’échelle longueur d’onde. Les caractéristiques désirées ...