Experimental research of have been not too long ago carried out to find out the optical impact of adsorption of arrays of gold nanoparticles, NPs (16 nm or 40 nm in diameter) on reflective substrates (Ma et al., ACS Photonics, 2018, 5, 4604–4616; Ma et al., ACS Nano, 2020, 14, 328–336) and on clear interfaces (Montelongo et al., Nat. Mater., 2017, 16, 1127–1135). As predicted by the speculation (Sikdar et al., Phys. Chem. Chem. Phys., 2016, 18, 20486–20498), a mirrored image quenching impact was noticed on the reflective substrates, within the frequency area centred across the nanoparticle localised plasmon resonance. These outcomes confirmed a broad dip in reflectivity, which was deepening and red-shifting with rising array densities. In distinction, the second system has proven, additionally in accordance with the speculation (Sikdar and Kornyshev, Sci. Rep., 2016, 6, 1–16), a broad reflectivity peak in the identical frequency area, rising in depth and shifting to the crimson with densification of the array. Within the current paper, we develop a principle of an optical response of NP arrays adsorbed on the floor of stacked nanosheet hyperbolic substrates. The response varies between quenched and enhanced reflectivity, relying on the amount fractions of the metallic and dielectric parts within the hyperbolic metamaterial. We reproduce the outcomes of the sooner works within the two reverse limiting instances – of a pure metallic and a pure dielectric substrates, whereas predicting novel resonances for intermediate compositions. Whereas the metallic/dielectric ratio within the hyperbolic substrate can’t be modified in time – for every experiment a brand new substrate must be fabricated – the density of the adsorbed nanoparticle arrays might be managed in actual time in electrochemical photonic cells (Montelongo et al., Nat. Mater., 2017, 16, 1127–1135; Ma et al., ACS Photonics, 2018, 5, 4604–4616; Ma et al., ACS Nano, 2020, 14, 328–336). Due to this fact, we systematically examine the impact of the array density on the optical response of such methods, which could possibly be later verified experimentally. We additionally examine the manifestation of those findings in a hyperbolic-Fabry-Perot cell.
