Model for describing plasmon-enhanced lasers that combines rate equations with finite-difference time-domain

Montacer Dridi, George C Schatz

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27 Citations (Scopus)

Abstract

We report a theoretical study of lasing when plasmonic metallic structures are embedded in a gain medium. The model used is a dynamic semi-quantumapproach that accounts for stimulated and spontaneous emission wherein molecules constituting the laser dye are described using a four-level rate equation model, which is coupled to an electrodynamics description of the entire system including metal particles. Based on 3D simulations in which electromagnetic fields for both the pump and emitted photons are accurately determined for an array of elliptical gold nanorods, we numerically demonstrate lasing action above an intensity threshold for a narrow range of wavelengths close to the plasmon maximum. We also show numerically that this lasing action clamps the population inversion above threshold. The dye molecule photophysics near the nanoparticle was also studied, and it is demonstrated that stimulated emission dominates over spontaneous emission above threshold, with most of the stimulated emission being associated with the near-field region near the metal nanorods. The effect of the Purcell factor on the lasing action is also studied. This theoretical work provides the basic framework for investigation and optimization of light emission arising from the coupling of gain media and plasmonic nanostructures.

Original languageEnglish
Pages (from-to)2791-2797
Number of pages7
JournalJournal of the Optical Society of America B: Optical Physics
Volume30
Issue number11
DOIs
Publication statusPublished - Nov 1 2013

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lasing
stimulated emission
spontaneous emission
nanorods
lasers
thresholds
clamps
population inversion
metal particles
electrodynamics
dye lasers
light emission
molecules
near fields
electromagnetic fields
dyes
pumps
gold
nanoparticles
optimization

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "We report a theoretical study of lasing when plasmonic metallic structures are embedded in a gain medium. The model used is a dynamic semi-quantumapproach that accounts for stimulated and spontaneous emission wherein molecules constituting the laser dye are described using a four-level rate equation model, which is coupled to an electrodynamics description of the entire system including metal particles. Based on 3D simulations in which electromagnetic fields for both the pump and emitted photons are accurately determined for an array of elliptical gold nanorods, we numerically demonstrate lasing action above an intensity threshold for a narrow range of wavelengths close to the plasmon maximum. We also show numerically that this lasing action clamps the population inversion above threshold. The dye molecule photophysics near the nanoparticle was also studied, and it is demonstrated that stimulated emission dominates over spontaneous emission above threshold, with most of the stimulated emission being associated with the near-field region near the metal nanorods. The effect of the Purcell factor on the lasing action is also studied. This theoretical work provides the basic framework for investigation and optimization of light emission arising from the coupling of gain media and plasmonic nanostructures.",
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N2 - We report a theoretical study of lasing when plasmonic metallic structures are embedded in a gain medium. The model used is a dynamic semi-quantumapproach that accounts for stimulated and spontaneous emission wherein molecules constituting the laser dye are described using a four-level rate equation model, which is coupled to an electrodynamics description of the entire system including metal particles. Based on 3D simulations in which electromagnetic fields for both the pump and emitted photons are accurately determined for an array of elliptical gold nanorods, we numerically demonstrate lasing action above an intensity threshold for a narrow range of wavelengths close to the plasmon maximum. We also show numerically that this lasing action clamps the population inversion above threshold. The dye molecule photophysics near the nanoparticle was also studied, and it is demonstrated that stimulated emission dominates over spontaneous emission above threshold, with most of the stimulated emission being associated with the near-field region near the metal nanorods. The effect of the Purcell factor on the lasing action is also studied. This theoretical work provides the basic framework for investigation and optimization of light emission arising from the coupling of gain media and plasmonic nanostructures.

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