Self-consistent calculation of metamaterials with gain

Abstract

We present a computational scheme allowing for a self-consistent treatment of a dispersive metallic photonic metamaterial coupled to a gain material incorporated into the nanostructure. The gain is described by a generic four-level system. A critical pumping rate exists for compensating the loss of the metamaterial. Nonlinearities arise due to gain depletion beyond a certain critical strength of a test field. Transmission, reflection, and absorption data as well as the retrieved effective parameters are presented for a lattice of resonant square cylinders embedded in layers of gain material and split ring resonators with gain material embedded into the gaps.

5 pages, 6 figures

References in corpus (3)

• Nonlinear properties of left-handed metamaterials
• Toy model for plasmonic metamaterial resonances coupled to two-level system gain
• Active metamaterials: sign of refraction index and gain-assisted dispersion management

Cited by in corpus (23)

• Past Achievements and Future Challenges in 3D Photonic Metamaterials
• Spaser as Nanoscale Quantum Generator and Ultrafast Amplifier
• Overcoming losses with gain in a negative refractive index metamaterial
• Multi-fold Enhancement of Quantum Dot Luminescence in a Plasmonic Metamaterial
• Nonlinear terahertz metamaterials via field-enhanced carrier dynamics in GaAs
• Controlling Cherenkov angles with resonance transition radiation
• Arrays of Ag split-ring resonators coupled to InGaAs single-quantum-well gain
• Self-consistent calculations of loss compensated fishnet metamaterials
• Theory of fishnet negative-index optical metamaterials
• Topical Review: optics of exciton-plasmon nanomaterials
• Phase Conjugation and Negative Refraction Using Nonlinear Active Metamaterials
• Gain and plasmon dynamics in negative-index metamaterials
• Active Negative Index Metamaterial Powered by an Electron Beam
• Frequency-domain simulations of a negative-index material with embedded gain
• Spaser chains
• Full Hydrodynamic Model of Nonlinear Electromagnetic Response in Metallic Metamaterials
• Electrostatic theory for designing lossless negative permittivity metamaterials
• Plasmon enhanced second harmonic generation by periodic arrays of triangular nanoholes coupled to quantum emitters
• Nanocouplers for infrared and visible light
• The effect of gain saturation in a gain compensated perfect lens
• Lasing oscillation condition and group delay control in gain-assisted plasmon-induced transparency
• Huge Casimir effect at finite temperature in electromagnetic Rindler space
• Simplified description of an active medium in quantum plasmonics