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Lithium niobate (LN) metasurfaces exhibit remarkable Pockels effect-drivenelectro-optic tunability, enabling dynamic control of optical responses throughexternal electric fields. When combined with their high second-order nonlinearsusceptibility ($\chi^{2}$), this tunability is projected into the nonlinearlandscape, realizing second-harmonic generation (SHG)-dominated functionalitiesin integrated photonics. However, achieving deep SHG modulation in LNmetasurfaces remains challenging due to LN's limited refractive indextunability under practical driving voltage. To address this, we design anair-hole-structured LN metasurface by strategically adjusting air holepositions to induce Brillouin zone folding-enabled bound states in thecontinuum with ultrahigh quality factors ($Q>10^{4}$). Numerical simulationsdemonstrate a $2.59\%$ SHG conversion efficiency at 0.1 MW/cm$^{2}$ excitationand a modulation depth exceeding 0.99 under 15 V peak-to-peak voltage ($\DeltaV_{\text{pp}}$). This work establishes a compact framework for electricallytunable nonlinear optics, advancing applications in integrated quantum lightsources and programmable photonic chips.

Electro-optically tunable second-harmonic generation in lithium niobate  metasurfaces boosted by Brillouin zone folding induced bound states in the  continuum