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Bulletin of the American Physical Society

Metamaterials with gain and interpretation of transmission in pump-probe experiments

Thomas Koschny, Zhixiang Huang, Costas M. Soukoulis

Published Feb 27, 2012• 0 citations
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We numerically investigate loss compensation and transmission in pump-probe experiments in resonant metamaterials with gain using an FDTD algorithm coupled to semiclassical rate equations. We observe differential transmittance signals from the coupled system that are a factor of four to five larger than for the bare quantum well. We observe a more rapid temporal decay of the differential transmittance signal for the coupled system compared to the bare quantum well. The effective metamaterial gain beyond the bare quantum-well gain, leading to a significant reduction of the metamaterial’s losses, but no complete compensation of the losses. We explain experimentally observed negative differential transmission by gain-dependent impedance. Article not available.
We establish a new approach for pump-probe simulations of metallic metamaterials coupled to the gain materials. It is of vital importance to understand the mechanism of the coupling of metamaterials with the gain medium. Using a four-level gain system, we have studied light amplification of arrays of metallic split-ring resonators with a gain layer underneath. We find that the differential transmittance ΔT/T can be negative for split-ring resonators on the top of the gain substrate, which is not expected, and ΔT/T is positive for the gain substrate alone. These simulations agree with pump-probe experiments and can help to design new experiments to compensate for the losses of metamaterials.
Net optical gain in silicon nanocrystals (Si-nc) has been measured by pump and probe transmission experiments. Si-nc active layers have been produced by plasma enhanced chemical vapor deposition on transparent quartz substrates. Continuous and pulsed pump and probe transmission measurements have shown clear evidences of net probe amplification with fast (nanosecond) response time. Transfer matrix and rate equations modeling of the nonlinear signal transmission allowed to extract the gain spectra for different pump intensities yielding good qualitative agreement with the experimental data. Gain cross sections per nanocrystals of the order of 3×10−16cm2 have been deduced. The physical origin of the optical amplification is interpreted within a four level recombination model describing the dynamics of strongly localized excitons at the Si-nc∕SiO2 interface.