title: Loss-compensated and active hyperbolic metamaterials.
abstract: We have studied the dispersion relations of multilayers of silver and a dye-doped dielectric using four methods: standard effective-medium theory (EMT), nonlocal-effect-corrected EMT, nonlinear equations based on the eigenmode method, and a spatial harmonic analysis method. We compare the validity of these methods and show that metallic losses can be greatly compensated by saturated gain. Two realizable applications are also proposed. Loss-compensated metal-dielectric multilayers that have hyperbolic dispersion relationships are beneficial for numerous applications such as subwavelength imaging and quantum optics.
authors.affiliation: School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USA.
authors.forename: Xingjie
authors.initials: X
authors.lastname: Ni
authors.forename: Satoshi
authors.initials: S
authors.lastname: Ishii
authors.forename: Mark D
authors.initials: MD
authors.lastname: Thoreson
authors.forename: Vladimir M
authors.initials: VM
authors.lastname: Shalaev
authors.forename: Seunghoon
authors.initials: S
authors.lastname: Han
authors.forename: Sangyoon
authors.initials: S
authors.lastname: Lee
authors.forename: Alexander V
authors.initials: AV
authors.lastname: Kildishev
mesh_terms: D004396:Coloring Agents / Q000737:chemistry*; D003198:Computer Simulation; D004735:Energy Transfer; D008027:Light; D008956:Models, Chemical; D010783:Photometry / Q000379:methods*; D012542:Scattering, Radiation; D012834:Silver / Q000737:chemistry*; D020349:Surface Plasmon Resonance / Q000379:methods*
chemical_list: D004396:Coloring Agents; D012834:Silver