Controlled localization and scattering of light via multipole coupling in finite-size arrays of Mie-resonant nanoparticles

We investigate the emergence and development of collective resonant effects in finite-size arrays of silicon nanoparticles. We focus our research on two different scenarios of collective resonances: the lattice resonant Kerker effect and the quasi-bound state in the continuum. In the coupled dipole approximation, the implementation of such resonances is explored depending on the number of particles in the arrays and the conditions of external excitation. The results of the work are important for the prediction and experimental observation of collective resonances in real finite-size structures.