In this communication we calculate the TPI cross-section for pump-probe scheme in Au, Ag and Na neutral clusters in high refractive index environment. The pump photon energy is chosen to be close to the surface plasmon (SP) energy of considered clusters. Since the interband transition energy in Ag and Na exceeds the SP resonance energy, the main contribution into the TPI in these clusters comes from the interband transitions. In Au clusters the interband transition threshold is very close to SP resonance, and the SP assisted TPI cross-section is attenuated. The calculations are performed by separating the coordinates of electrons corresponding to the collective oscillations and the individual motion that allows to take into account the resonance contribution of excited SP oscillations. It is shown that the ionization cross section increases by two orders of magnitude if the energy of the pump photon matches the surface plasmon energy in the Ag and Na cluster.
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