Compact inductor-capacitor resonators at subgigahertz frequencies

Compact inductor-capacitor (LC) resonators, in contrast to coplanar waveguide resonators, have a straightforward lumped-element model but are challenging to accurately design without finite-element method (FEM) simulations. We present an analytical model of a compact LC resonator design where the electrical parameters are directly expressed from the circuit geometry. The experimental results consisting of eight different resonators are consistent with both our analytical model and FEM simulations. These results demonstrate the ability to conveniently design subgigahertz resonators, which has immediate applications in the realization of large photonic lattices and ultrasensitive superconducting bolometers.