Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913337343737856 |
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| author | VanDrunen, Becca Ren, Juanjuan Franke, Sebastian Hughes, Stephen |
| author_facet | VanDrunen, Becca Ren, Juanjuan Franke, Sebastian Hughes, Stephen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05806 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors VanDrunen, Becca Ren, Juanjuan Franke, Sebastian Hughes, Stephen Optics Mesoscale and Nanoscale Physics 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. |
| title | Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2308.05806 |