Self-consistent calculations of loss compensated fishnet metamaterials

Abstract

We present a computational approach, allowing for a self-consistent treatment of three-dimensional (3D) fishnet metamaterial coupled to a gain material incorporated into the nanostructure. We show numerically that one can compensate the losses by incorporating gain material inside the fishnet structure. The pump rate needed to compensate the loss is much smaller than the bulk gain and the figure of merit (FOM = |Re(n)/Im(n)|) increases dramatically with the pump rate. Transmission, reflection, and absorption data, as well as the retrieved effective parameters, are presented for the fishnet structure with and without gain material. Kramers-Kronig relations of the effective parameters are in excellent agreement with the retrieved results with gain.

5 pages, 9 figures. Accepted to Physical Review B as a rapid communication

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• Theory of pump-probe experiments of metallic metamaterials coupled to the gain medium
• All-analytical semiclassical theory of spaser for plasmonic nanocavity
• Quantum optical effective-medium theory for loss-compensated metamaterials
• Evanescent Gain in "Trapped Rainbow" Negative Refractive Index Heterostructures
• Control and Dynamic Competition of Bright and Dark Lasing States in Active Nanoplasmonic Metamaterials
• Negative refraction with tunable absorption in an active dense gas of atoms
• Quantum Optics of Non-Hermitian Optical Systems: Propagation of Squeezed State of Light through Dispersive non-Hermitian Optical Bilayers
• Dynamical calculation of third harmonic generation in a semiconductor quantum well
• Resonant plane waves in metamaterials with dipoles and quadrupoles coupled with quantum system