We have used numerical calculations based on Mie theory to analyze the near field distribution patterns for 4-150 nm spherical silver nanoparticles (nanospheres). We have shown that as the nanoparticle sizes increase, the region where "hot spots" are concentrated is shifted to the forward hemisphere. We have observed a nonmonotonic dependence of the maximum attainable local field enhancement factor on the size of the silver nanospheres. We have determined a correlation between the optimal nanosphere size for the maximum attainable local field enhancement factor and the optical absorption efficiency factor. We have established a nonmonotonic dependence of the optimal size of the nanoparticles and the maximum attainable local field enhancement factor on the refractive index of the surrounding medium.Introduction. Materials containing nanoparticles of noble metals are being actively studied today because of their important properties connected with formation of surface plasmon resonance (SPR) absorption bands in the visible region of the spectrum and substantial enhancement of local fields near the surface of the metallic nanoparticles ("hot spots"). Resonance enhancement of local characteristics of the optical field has a considerable effect on formation of linear and nonlinear optical properties of aggregated nanodispersed structures, and the extent to which these resonances appear can be effectively controlled by varying the topological and morphological parameters of the nanocomposites. Significant local field enhancement and its considerable nonuniformity are important factors leading to the appearance of "surface-enhanced" optical effects, such as surface-enhanced Raman scattering (SERS) and enhancement of the luminescence of molecules situated near the surface of metallic nanostructures.It has been established [1] that the local field enhancement effect is most significant near the SPR absorption bands of metallic nanoparticles. In turn, the spectral position of the SPR absorption bands is determined by the size of the nanoparticles, their shape and internal structure, and also the dielectric properties of the matrix in which they are embedded [2]. The near field distribution is also sensitive to all these parameters [3][4][5][6][7]. In this case, for example, in order to increase the intensity of Raman scattering by molecules situated near the surface of metallic nanoparticles, spectral overlap of the absorption bands of the selected molecules and the SPR absorption bands is of fundamental importance.In order to determine the optimal conditions for resonance local field enhancement by metallic nanospheres, in this work we have studied the topology of the near field distribution for silver nanoparticles of different sizes; we have established the characteristic localization scales for the local field enhancement regions; and we have also studied the dependence of the attainable values of the local field enhancement factor on the sizes of the silver nanoparticles and the properties of the dielectric environmen...