Physics

Mathematical analysis

Bound state

Geometry

Symmetry (geometry)

Mathematics

Fano plane

Quantum mechanics

Upper and lower bounds

Physical Review Letters

We reveal that metasurfaces created by seemingly different lattices of (dielectric or metallic) meta-atoms with broken in-plane symmetry can support sharp high-$Q$ resonances arising from a distortion of symmetry-protected bound states in the continuum. We develop a rigorous theory of such asymmetric periodic structures and demonstrate a link between the bound states in the continuum and Fano resonances. Our results suggest the way for smart engineering of resonances in metasurfaces for many applications in nanophotonics and metaoptics.

Asymmetric Metasurfaces with High- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi></mml:math> Resonances Governed by Bound States in the Continuum

Asymmetric Metasurfaces with High- Q Resonances Governed by Bound States in the Continuum