Watson, Derek W., Jenkins, Stewart D., Fedotov, Vassili A. and Ruostekoski, Janne (2019) Point-dipole approximation for small systems of strongly coupled radiating nanorods. Scientific Reports, 9 (1). (doi:10.1038/s41598-019-41327-6).
Abstract
Systems of closely-spaced resonators can be strongly coupled by interactions mediated by scattered electromagnetic fields. In large systems the resulting response has been shown to be more sensitive to these collective interactions than to the detailed structure of individual resonators. Attempts to describe such systems have resulted in point-dipole approximations to resonators that are computationally efficient for large resonator ensembles. Here we provide a detailed study for the validity of point dipole approximations in small systems of strongly coupled plasmonic nanorods, including the cases of both super-radiant and subradiant excitations, where the characteristics of the excitation depends on the spatial separation between the nanorods. We show that over an appreciable range of rod lengths centered on 210 nm, when the relative separation kl in terms of the resonance wave number of light k satisfies kl≳ π/ 2 , the point electric dipole model becomes accurate. However, when the resonators are closer, the finite-size and geometry of the resonators modifies the excitation modes, in particular the cooperative mode line shifts of the point dipole approximation begin to rapidly diverge at small separations. We also construct simplified effective models by describing a pair of nanorods as a single effective metamolecule.
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- Current Faculties > Faculty of Engineering and Physical Sciences > Zepler Institute for Photonics and Nanoelectronics > Nanophotonics Group
Zepler Institute for Photonics and Nanoelectronics > Nanophotonics Group - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Optoelectronics Research Centre (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > Zepler Institute for Photonics and Nanoelectronics > Optoelectronics Research Centre (pre 2018 reorg)
Zepler Institute for Photonics and Nanoelectronics > Optoelectronics Research Centre (pre 2018 reorg) - Faculties (pre 2011 reorg) > Faculty of Engineering Science & Maths (pre 2011 reorg) > Mathematics (pre 2011 reorg) > Applied Mathematics (pre 2011 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematics (pre 2011 reorg) > Applied Mathematics (pre 2011 reorg)
School of Mathematical Sciences > Mathematics (pre 2011 reorg) > Applied Mathematics (pre 2011 reorg)
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