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.
© 2012 Optical Society of America
Original Manuscript: June 8, 2012
Revised Manuscript: September 10, 2012
Manuscript Accepted: September 12, 2012
Published: November 14, 2012
Jessica Bénédicto, Emmanuel Centeno, and Antoine Moreau, "Lens equation for flat lenses made with hyperbolic metamaterials," Opt. Lett. 37, 4786-4788 (2012)