A comprehensive design framework for all-dielectric metasurface by harnessing the interplay of controlled multiple multipoles excitation, Rayleigh anomaly, Mie, and lattice resonances

Abstract

Dielectric metasurfaces have emerged as promising candidates to control electromagnetic multipoles, crucial for precise manipulation of associated light-matter interaction, particularly for multi-functionality in photonics technologies spanning across structural scales and electromagnetic spectrum. Each multipole with a given nature (electric-E, magnetic-H) and order (dipole-D, quadrupole-Q) has specific functionality, having implications on resonance typesfundamental as well as collective, their coupling and hybridization. On using geometrical dimensions as primary design parameters, only a few multipoles could be excited simultaneously. Moreover, the understanding of the relation among meta-atom Mie resonance, lattice periodicity, and lattice resonances is still missing. Local field distribution due to the spatial hybridization with neighboring meta-atoms is also unknown for finite metasurfaces. We have developed a comprehensive design framework to maximize resonance strength by controlled multipoles excitation, overlap, coupling among different resonance types-Mie, lattice, Rayleigh anomaly, and local field in metasurface, using numerical simulation. Simultaneous spectral overlapping of four (ED, MD, EQ, MQ) multipoles is demonstrated as meta-atom height exceeds excitation wavelength. As periodicity matches both Mie and Rayleigh anomaly wavelength, resulting metasurface resonance attains a high Q-factor, attributed to maximum coupling of Mie and lattice resonances. Spatial field hybridization due to specific arrangement of neighboring meta-atoms, depending on array size, results in asymmetric local field distribution in finite metasurfaces, crucial for real-world implementation. Our findings reveal governing principles linking controlled multipole excitation dynamics, influence of coupling among different resonance types on resultant resonance and local field distribution relevant towards multifunctional metasurface photonics integrated quantum technologies.