Abstract
A gain-assisted plasmonic waveguide with two detuned resonators is investigated in the plasmon-induced transparency window. Phase map is employed to study power transmittance and group delay for varying gain coefficients and frequency detunings of the two resonators. The gain coefficient for lasing oscillation condition is analytically shown to vary quadratically with the frequency detuning. In the amplification regime below the lasing threshold, the spectrum implies not only large group delay, but also high transmittance and narrow linewidth. This is in contrast to those in the loss-compensation regime and the passive case in which there always exists a trade-off between the linewidth and the peak transmittance.
Highlights
There are a broad range of applications such as slow light and biosensing
Our motivation is to find the loss-compensation and amplification behaviors for different gain coefficients and frequency detuning in gain-assisted plasmon-induced transparency (PIT) system, in order to well control the surface plasmon propagation, and to investigate the condition of plasmonic lasing for the detuned resonators
It is found that the gain coefficient at the lasing condition in the map can be well-defined by a quadratic function, which is consistent with the analytical derivation in coupled mode theory incorporated with gain coefficients
Summary
Our motivation is to find the loss-compensation and amplification behaviors for different gain coefficients and frequency detuning in gain-assisted PIT system, in order to well control the surface plasmon propagation, and to investigate the condition of plasmonic lasing for the detuned resonators. In this Letter, we consider a gain-assisted plasmonic waveguide side-coupled with a pair of slightly detuned resonators. We engineer power transmission and group delay by employing a phase map on the gain coefficient and the frequency detuning.
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