Plasmonic metamaterials form an exciting new class of engineered media that promise a range of important
applications, such as subwavelength focusing, cloaking and slowing/stopping of light. At optical frequencies, using
gain to overcome potentially not insignificant losses has recently emerged as a viable solution to ultralow-loss
operation that may lead to next-generation active metamaterials. Here, we employ a Maxwell-Bloch methodology
for the analysis of these gain-enhanced optical nanomaterials. The method allows us to study the dynamics of the
coherent plasmon-gain interaction, nonlinear saturation, field enhancement as well as radiative and non-radiative
damping such as tunnelling and F¨orster coupling. Using numerical pump-probe experiments on a double-fishnet
metamaterial with dye-molecule inclusions we investigate the build-up of the inversion and the formation of the
plasmonic modes in the low-Q fishnet cavity. We find that loss compensation occurs in the negative-refractiveindex
regime and that, due to the loss compensation and the associated sharpening of the resonance, the real part
of the refractive index of the metamaterial becomes more negative compared to the passive case. Furthermore,
we investigate the behaviour of the metamaterial above the lasing threshold, and we identify the occurrence of
a far-field lasing burst and gain depletion when higher dye densities are used. Our results provide deep insight
into the internal processes that affect the macroscopic properties of active metamaterials. This could guide the
development of amplifying and lasing plasmonic nanostructures.
We investigate on the basis of a full three-dimensional spatio-temporal Maxwell-Bloch approach the possibility of
complete loss compensation in non-bianisotropic negative refractive index (NRI) metamaterials. We show that a
judicious incorporation of optically pumped gain materials, such as laser dyes, into a double-fishnet metamaterial
can enable gain in the regime where the real part n′ of the resulting effective refractive index (n = n′ + in″) is
negative. It is demonstrated that a frequency band exists for realistic opto-geometric and material (gain/loss)
parameters where n′ < 0 and simultaneously n″ < 0 hold, resulting in a figure-of-merit that diverges at two
distinct frequency points. Having ensured on the microscopic, meta-molecular level that realistic levels of losses
and even gain are accessible in the considered optical frequency regime we explore the possibility of compensating
propagation losses in a negative refractive index slow-light metamaterial heterostructure. The heterostructure
is composed of a negative refractive index core-layer bounded symmetrically by two thin active cladding layers
providing evanescent gain to the propagating slow light pulses. It is shown that backward-propagating light -
having anti-parallel phase and group velocities and experiencing a negative effective refractive index - can be
amplified inside this slow-light waveguide structure. Our results provide a direct and unambiguous proof that
full compensation of losses and attainment of gain are possible on the microscopic as well as the macroscopic
level in the regime where the non-bianisotropic refractive index is negative - including, in particular, the regime
where the guided light propagates slowly.
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