2019
DOI: 10.1038/s41598-019-50498-1
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Full-wave electromagnetic modes and hybridization in nanoparticle dimers

Abstract: The plasmon hybridization theory is based on a quasi-electrostatic approximation of the Maxwell’s equations. It does not take into account magnetic interactions, retardation effects, and radiation losses. Magnetic interactions play a dominant role in the scattering from dielectric nanoparticles. The retardation effects play a fundamental role in the coupling of the modes with the incident radiation and in determining their radiative strength; their exclusion may lead to erroneous predictions of the excited mod… Show more

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Cited by 28 publications
(22 citation statements)
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“…Formally, this is described as a contribution by higher-order multipoles of the monomer. 36 Although the mixing affects the eigenvectors, the selection rules remain strictly applicable, since the mode symmetry has to be identical. For typical nanooligomers, the calculated eigenmodes remain predominantly dipole-like, quadrupole-like and so forth.…”
Section: (A) the Non-degeneratementioning
confidence: 99%
“…Formally, this is described as a contribution by higher-order multipoles of the monomer. 36 Although the mixing affects the eigenvectors, the selection rules remain strictly applicable, since the mode symmetry has to be identical. For typical nanooligomers, the calculated eigenmodes remain predominantly dipole-like, quadrupole-like and so forth.…”
Section: (A) the Non-degeneratementioning
confidence: 99%
“…[ 183 ] In higher‐order multipole modes, a modified hybridization theory must be introduced to describe their complex interactions. [ 197 ] This modified hybridization theory, based on Maxwell's equations for non‐Hermitian composite systems, overcomes the limitation by considering the following three factors: magnetic interaction, retardation effect, and radiation loss. These factors dictate dielectric scattering, mode coupling with the incident radiation, radiative strength determination, and scattering resonance broadening.…”
Section: Manipulation Of the Scattering Characteristicsmentioning
confidence: 99%
“…To obtain the result, we required the definition of V νµ in ( 29) and the eigenvalue equation (30). Finally, we have inserted the symmeterized coefficients b µ,m defined in (31) and assumed that ∑ µ b 2 µ,m = 1, since this is precisely the dot product between the normalized left and right eigenvectors of the symmeterized matrix operator in (31), which is enforced by some, though not all, linear algebra packages.…”
Section: Normalization and Orthogonalitymentioning
confidence: 99%
“…The method was successfully applied to a series of simple cases, 23 including 1D slabs, 27 2D wires, 24,28 and spheres, [29][30][31] where the modes could be found easily and quickly via a transcendental equation, for which we built a reliable root search algorithm. 32 For modes of a general geometry we adapted the eigenfrequency solvers of COMSOL, a FEM-based software package, to produce eigenpermittivity modes.…”
Section: Introductionmentioning
confidence: 99%