Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors
arxiv(2023)
摘要
Using a rigorous mode theory for gain-compensated plasmonic dimers, we
demonstrate how quality factors and Purcell factors can be dramatically
increased, improving the quality factors from 10 to over 26,000 and the peak
Purcell factors from around 3000 to over 10 billion. Full three-dimensional
calculations are presented for gold dimers in a finite-size gain medium, which
allows one to easily surpass fundamental Purcell factor limits of lossy media.
Within a regime of linear system response, we show how the Purcell factors are
modified from the contributions from the projected local density of states as
well as a non-local gain. Further, we show that the effective mode volume and
radiative beta factors remain relatively constant, despite the significant
enhancement of the Purcell factors.
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