In this paper authors present a numerical approach based on the Discrete Dipole Approximation, to compute the total, radiative and nonradiative decay rates of a point-like emitter coupled to an arbitrary-shaped metallic nanostructure. The method is initially applied to a 10 nm-diameter Ag nanosphere, where a perfect agreement between numerical and analytical results is shown for a good prescription of the discretization parameter. New results are also provided for a 20 nm-high Ag nanocone excited by a dipole oscillating along the symmetry axis. Simulation data attest the importance of sharp nanocones to achieve significant modifications of the spontaneous emission dynamics, towards a numerical engineering of decay rates exploiting surface plasmon resonances.

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