Broken symmetries lie at the heart of nontrivial physical phenomena. Breaking
the in-plane geometrical symmetry of optical systems allows to access a set of
electromagnetic states termed symmetry-protected quasi-bound states in the
continuum (qBICs). Here we demonstrate, theoretically, numerically and
experimentally, that such optical states can also be accessed in metasurfaces
by breaking the in-plane symmetry in the permittivity of the comprising
materials, showing a remarkable equivalence to their geometrically-asymmetric
counterparts. However, while the physical size of atoms imposes a limit on the
lowest achievable geometrical asymmetry, weak permittivity modulations due to
carrier doping and electro-optical Pockels and Kerr effects, usually considered
insignificant, open up the possibility of infinitesimal permittivity
asymmetries for on-demand, and dynamically tuneable optical resonances of
extremely high quality factors. We probe the excitation of
permittivity-asymmetric qBICs (ε-qBICs) using a prototype
Si/TiO2 metasurface, in which the asymmetry in the unit cell is provided
by the refractive index contrast of the dissimilar materials, surpassing any
unwanted asymmetries from nanofabrication defects or angular deviations of
light from normal incidence. ε-qBICs can also be excited in 1D
gratings, where quality-factor enhancement and tailored interference phenomena
via the interplay of geometrical and permittivity asymmetries are numerically
demonstrated. The emergence of ε-qBICs in systems with broken
symmetries in their permittivity may enable to test time-energy uncertainties
in quantum mechanics, and lead to a whole new class of low-footprint optical
and optoelectronic devices, from arbitrarily narrow filters and topological
sources, biosensing and ultrastrong light-matter interaction platforms, to
tuneable optical switches.Comment: Manuscript and Supplementary Information, 27 pages, 4 Figures
manuscript + 4 Supplementary Figure