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Recently a new approximate analytical method based on simple physical reasoning for the calculation of surface plasmon
frequencies in the complexes of metallic nanoparticles (MNP) (particularly spheres) has been proposed [1]. The method
called Eliminated Quadrupole Moment Approximation (EQMA) allows adequate description of existing experimental
data concerning surface plasmons in the system of two coupled spheres [4]. We present the results of numerical
simulation based on Discrete Dipole Approximation (DDA) ([5]) performed in order to identify the limits of applicability
of EQMA. It is shown that EQMA works very well for interparticle distances down to 0.1 of the diameter of the sphere.
It is demonstrated also that obtaining of reliable numerical results with use of DDSCAT (simulation tool for DDA, [7])
requires presentation of the spheres as an ensemble of more than 500000 point dipoles, whereas in EQMA each of the
spheres is substituted by only one dipole. The obvious advantage of EQMA is that it provides the resonance frequency
for the given values of the parameters of the problem practically instantly while the DDSCAT requires several hours to
obtain the same result.
T. Makaryan
"Surface plasmons in coupled metallic nanoparticles: numerical verification of new analytical approaches", Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981E (4 March 2011); https://doi.org/10.1117/12.891284
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T. Makaryan, "Surface plasmons in coupled metallic nanoparticles: numerical verification of new analytical approaches," Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981E (4 March 2011); https://doi.org/10.1117/12.891284