Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics
We describe a powerful and intuitive theoretical technique for modeling light–matter interactions in classical and quantum nanoplasmonics. Our approach uses a quasinormal mode (QNM) expansion of the photon Green function within a metal nanoresonator of arbitrary shape, together with a Dyson equation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/11/113048 |
| _version_ | 1797751509984739328 |
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| author | Rong-Chun Ge Philip Trøst Kristensen Jeff F Young Stephen Hughes |
| author_facet | Rong-Chun Ge Philip Trøst Kristensen Jeff F Young Stephen Hughes |
| author_sort | Rong-Chun Ge |
| collection | DOAJ |
| description | We describe a powerful and intuitive theoretical technique for modeling light–matter interactions in classical and quantum nanoplasmonics. Our approach uses a quasinormal mode (QNM) expansion of the photon Green function within a metal nanoresonator of arbitrary shape, together with a Dyson equation, to derive an expression for the spontaneous decay rate and far field propagator from dipole oscillators outside resonators. For a single QNM, at field positions outside the quasi-static coupling regime, we give a closed form solution for the Purcell factor and generalized effective mode volume. We augment this with an analytic expression for the divergent local density of optical states very near the metal surface, which allows us to derive a simple and highly accurate expression for the electric field outside the metal resonator at distances from a few nanometers to infinity. This intuitive formalism provides an enormous simplification over full numerical calculations and fixes several pending problems in QNM theory. |
| first_indexed | 2024-03-12T16:49:31Z |
| format | Article |
| id | doaj.art-55273a5da1af4cbb8b98ff0cf8cd5731 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:31Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-55273a5da1af4cbb8b98ff0cf8cd57312023-08-08T11:21:56ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161111304810.1088/1367-2630/16/11/113048Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonicsRong-Chun Ge0Philip Trøst Kristensen1Jeff F Young2Stephen Hughes3Department of Physics , Engineering Physics and Astronomy, Queenʼs University, Kingston, Ontario, K7L 3N6, CanadaDTU Fotonik, Technical University of Denmark , DK-2800 Kongens Lyngby, DenmarkDepartment of Physics and Astronomy , University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, V6T 1Z1, CanadaDepartment of Physics , Engineering Physics and Astronomy, Queenʼs University, Kingston, Ontario, K7L 3N6, CanadaWe describe a powerful and intuitive theoretical technique for modeling light–matter interactions in classical and quantum nanoplasmonics. Our approach uses a quasinormal mode (QNM) expansion of the photon Green function within a metal nanoresonator of arbitrary shape, together with a Dyson equation, to derive an expression for the spontaneous decay rate and far field propagator from dipole oscillators outside resonators. For a single QNM, at field positions outside the quasi-static coupling regime, we give a closed form solution for the Purcell factor and generalized effective mode volume. We augment this with an analytic expression for the divergent local density of optical states very near the metal surface, which allows us to derive a simple and highly accurate expression for the electric field outside the metal resonator at distances from a few nanometers to infinity. This intuitive formalism provides an enormous simplification over full numerical calculations and fixes several pending problems in QNM theory.https://doi.org/10.1088/1367-2630/16/11/113048nanoplasmonicsquasinormal modeseffective mode volumePurcell factorsquantum dotslight–matter interactions |
| spellingShingle | Rong-Chun Ge Philip Trøst Kristensen Jeff F Young Stephen Hughes Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics New Journal of Physics nanoplasmonics quasinormal modes effective mode volume Purcell factors quantum dots light–matter interactions |
| title | Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics |
| title_full | Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics |
| title_fullStr | Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics |
| title_full_unstemmed | Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics |
| title_short | Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics |
| title_sort | quasinormal mode approach to modelling light emission and propagation in nanoplasmonics |
| topic | nanoplasmonics quasinormal modes effective mode volume Purcell factors quantum dots light–matter interactions |
| url | https://doi.org/10.1088/1367-2630/16/11/113048 |
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