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For an elongated particle, two modes are identified, a longitudinal and a transversal mode.
Both of them are dipolar bright modes, the mode labeled as (curve i) is located at 2.4 eV, and it is usually named transversal mode since it induces a dipole perpendicular to the long axis of the ellipsoid when excited with transversal polarization.
This is usually called a longitudinal mode, the exciting electron beam, when located near the ends of the long axis of the ellipsoid induces a dipole along that long axis that is red-shifted with respect to the transversal mode due to the longer distance.
For light polarised perpendicular to the orientation of the gold nanorods a transversal mode, slightly shifted towards the red compared to particles in solution, is observed.
The longitudinal mode is strongly reduced for this polarisation, resulting in an extinction cross-section of comparable intensity, as observed for the transversal mode.
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Recent research literature mostly deals with nonlinear resonant dynamics of low-extensible cables involving transversal modes.
The current work presents a modal approach to calculate the transversal modes and the corresponding axial wavenumbers for dissipative mufflers of uniform (but arbitrary) cross-section.
The calculation of the transversal modes is not, however, a simple task when the acoustic system involves perforated elements and absorbent materials.
These peaks were attributed to the transversal modes of the 1-D product with pentagonal cross sections, which correspond to the out-of-plane quadrupole resonance and out-of-plane dipole resonance modes.
The dimer as a whole seems to present longitudinal and transversal modes behaving similarly to an elongated nanoparticle with the size and shape of the dimer but with the modes shifted by the irregular shapes of the individual nanoparticles.
As a consequence, the action of the noise might only increase λ2, while not affecting the negativeness of all the other exponents (λm, m>2), associated with stable transversal modes of oscillation.
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