Multipolar second harmonic generation from high Q quasi BIC states in subwavelength resonators
Abstract We put forward the multipolar model which captures the physics behind linear and nonlinear response driven by high quality (high Q) supercavity modes in subwavelength particles. We show that the formation of such trapped states associated with bound states in the continuum (quasi BIC) can be understood through multipolar transformations of coupled leaky modes. The quasi BIC state appears with increasing the order of the dominating multipole, where dipolar losses are completely suppressed. The efficient optical coupling to this state in the AlGaAs nanodisk is implemented via azimuthally polarized beam illumination matching its multipolar origin. We establish a one to one correspondence between the standard phenomenological non Hermitian coupled mode theory and multipolar models. The derived multipolar composition of the generated second harmonic radiation from the AlGaAs nanodisk is then validated with full wave numerical simulations. Back action of the second harmonic radiation onto the fundamental frequency is taken into account in the coupled nonlinear model with pump depletion. A hybrid metal dielectric nanoantenna is proposed to augment the conversion efficiency up to tens of per cent due to increasing quality factors of the involved resonant states. Our findings delineate novel promising strategies in the design of functional elements for nonlinear nanophotonics applications.