Аннотация:We analyze theoretically in detail the modification of the resonance fluorescence spectrum of the two-level atom driving by the monochromatic field in the close proximity of the plasmonic nanostructure (metal sphere). It is shown that one can control this spectrum varying four key parameters, (i) distance between the atom and the nanosphere, (ii) atom's location around the nanosphere, (iii) the radius of the nanosphere, and (iv) polarization of the incident radiation. These parameters affect the local field enchancement and the modification of the radiative decay rate of the atom interacting with the nanosphere, which lead to modification of the resonance fluorescence spectrum of the atom (frequency shift of the satellite lines in the Mollow-type triplet, widths of the lines, the spectrum intensity) by contrast with that one in free space. The permittivity of the metal the nanosphere is made of is also an additional parameter, which defines the nonradiative decay. The latter in combination with other parameters allows to continuously control the transition from resonance fluorescence enhancement to its quenching. The calculation results are generalized to the case of N two-level atoms, distributed around the nanoparticle in the close proximity of its surface. The calculations were performed for different positions of the detector relative to the system nanoparticle-atom(s).