Abstract
The features of second harmonic generation by a spherical nanoparticle with a plasmon shell are theoretically studied. In the framework of the quasistatic perturbation theory, expressions for the oscillating at a doubled frequency induced dipole and quadrupole moments of a particle were obtained. The second harmonic radiation power was calculated, which showed the resonance nature of the dependence of power on the exciting wavelength. Moreover, the positions of the radiation power resonances significantly depend on the dielectric permittivity of the particle core and its size.
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