title: Lens equation for flat lenses made with hyperbolic metamaterials.
abstract: This study aims to give a general theory that enables the design of flat lenses based on hyperbolic metamaterials. We derive a lens equation that is demonstrated to involve the curvature of the dispersion relation. Guided by this theory, hyperbolic lenses of focal length ranging from zero to a few wavelength are simulated. High transmission efficiency is also obtained by reducing the amount of metal compared to the dielectric material.
authors.affiliation: Clermont Universités, Université Blaise Pascal, Institut Pascal, BP 10448, F-63000 Clermont-Ferrand, France.
authors.forename: Jessica
authors.initials: J
authors.lastname: Bénédicto
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Centeno
authors.forename: Antoine
authors.initials: A
authors.lastname: Moreau