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Modelling active dipolar media in photonics and optoelectronics with the finite element method

Abstract : We introduce a simple and efficient numerical method to model the nonlinear response of active dipolar media in arbitrary photonic environments in the harmonic regime. At variance with existing approaches that require a deep knowledge of time-domain resolution techniques, our model is based on a reformulation in the frequency domain of the rate equations that govern the behavior of active dipolar media. The resulting equations can then be readily solved with popular solvers based on the finite element method. We discuss the validity of the method for a single layer of organic molecules and then illustrate its potential by studying the strong coupling between the molecules and an array of plasmonic nanoparticles. The model correctly predicts the formation of strongly coupled states and also captures more subtle features linked to dipole-dipole interactions.
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https://hal.archives-ouvertes.fr/hal-03023677
Contributor : Aloyse Degiron <>
Submitted on : Wednesday, November 25, 2020 - 2:32:45 PM
Last modification on : Monday, January 4, 2021 - 12:24:05 PM
Long-term archiving on: : Friday, February 26, 2021 - 7:12:13 PM

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Faten Ben Chaabane, Thomas Lopez, Laetitia Pradere, Béatrice Dagens, Aloyse Degiron. Modelling active dipolar media in photonics and optoelectronics with the finite element method. Journal of Physical Chemistry C, American Chemical Society, 2020, ⟨10.1021/acs.jpcc.0c07069⟩. ⟨hal-03023677⟩

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