By numerically solving the Maxwell equations for the problem of light scattering on spherical silicon nanoparticles with diameters from 90 to 170 nm dispersed in water, including gold and silver nanoparticles deposited on them with diameters from 5 to 20 nm, the distributions of electric fields in the light spectrum were obtained. Absorption and scattering cross-sections in the spectral region from 300 to 900 nm were discussed. The conditions for the maximum enhancement of the electric field strength, which arise due to the coupled resonances of Mie scattering in silicon nanoparticles and localized plasmons in gold nanoparticles, including those in the near-infrared region of the spectrum, corresponding to the maximum region of biological tissue transparency, are revealed. The results obtained can be used in biosensorics and biophotonics.
$^1$Dept. Low Temp. Phys., the Faculty of Phys., Moscow State University\
$^2$P.N. Lebedev Physical Institute of the Russian Academy of Sciences
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