Exotic Coupling Between Plasmonic Nanoparticles Through Geometric Configurations

Unified treatment for photoluminescence and scattering of coupled metallic nanostructures: I. Two-body system

“…However, the induced electric field they use is from Coulomb's law, which is approximate, because the surface charges are moving rather than stationary. Coincidentally, a recent work of Lu et al presents the exotic coupling between plasmonic nanoparticles through geometric configurations, in which several configurations have been studied carefully and an improved method for the coupled systems is developed [24]. The plasmon-induced electric field x-axis near their equilibrium positions.…”

Chiral Luminescence Quantum Efficiency Engineered by Plasmonic Antennas

“…Furthermore, we use the CHOM to describe the emission behavior of the antennas. The classical CHOM can describe the interactions of plasmon–plasmon, plasmon–exciton, and plasmon–microcavity systems . When two coupled GNRs are of the same size, the equations can be simplified as follows: ẍ 1 + 2 β ẋ 1 + ω 0 2 x 1 = ( a 11 f 1 e − i ω ex t + a 12 f 2 e − i ω ex t ) + g 2 x 2 ẍ 2 + 2 β ẋ 2 + ω 0 2 x 2 = ( a 21 f 1 e − i ω ex t + a 22 f 2 e − i ω...…”

“…Furthermore, we use the CHOM to describe the emission behavior of the antennas. The classical CHOM can describe the interactions of plasmon–plasmon, plasmon–exciton, and plasmon–microcavity systems . When two coupled GNRs are of the same size, the equations can be simplified as follows: where β and ω 0 are damping factor and resonant frequency, f 1,2 is the amplitudes of the external force, which are proportional to the excitation electric field intensity of two orthogonally polarized dipole sources with a phase difference of 90°, ω ex is the frequency of the excitation light, and x 1,2 is the position mean.…”

“…The classical CHOM can describe the interactions of plasmon−plasmon, plasmon−exciton, and plasmon−microcavity systems. 39 When two coupled GNRs are of the same size, the equations can be simplified as follows:…”

“…The total power generated by emitters can be expressed as P tot = |a 11 x 1 + a 12 x 2 | 2 + |a 21 x 1 + a 22 x 2 | 2 because interference can occur in the nearfield between the two oscillators' respective longitudinal and transverse electric field components. 39 Because the interference of the far-field emission from two vertically oriented dipoles can be ignored, the power radiated to the far-field by the system is P far = ω 4 (|x 1 | 2 + |x 2 | 2 ). 40 Figures 4a and 4b correspond to a symmetric antenna's radiative decay rate and total decay rate with a single emitter located at point B.…”