Multipole Resonances in Transdimensional Lattices of Plasmonic and Silicon Nanoparticles

Transdimensional photonics has emerged as a new field of science and engineering that explores the optical properties of materials and nanostructures in the translational regime between two and three dimensions. In the present work, we study an example of such transdimensional lattice consisting of nanoparticle array, and we aim at a direct comparison of lattice resonances excited in the periodic lattices of either plasmonic (gold) or silicon nanoparticles of the same size and interparticle spacing. We numerically analyze extinction cross-sections and reflection from the array, and we include electric and magnetic dipoles and electric quadrupoles into consideration. Lattice resonances are excited at the wavelength close to Rayleigh anomaly which is defined by the array periodicity, and different multipoles respond to one or another period of rectangular array depending on incident light polarization. We show that lattice resonances originating from dipole moments are extended to the larger spectral range than electric-quadrupole lattice resonances. Overlap of resonances causes a decrease in reflection (generalized Kerker effect) and, in the case of electric quadrupole and magnetic dipole moments, the coupling of the multipoles is enabled by the lattice.