Physical Review Research (Nov 2023)

Compact inductor-capacitor resonators at sub-gigahertz frequencies

  • Qi-Ming Chen,
  • Priyank Singh,
  • Rostislav Duda,
  • Giacomo Catto,
  • Aarne Keränen,
  • Arman Alizadeh,
  • Timm Mörstedt,
  • Aashish Sah,
  • András Gunyhó,
  • Wei Liu,
  • Mikko Möttönen

DOI
https://doi.org/10.1103/PhysRevResearch.5.043126
Journal volume & issue
Vol. 5, no. 4
p. 043126

Abstract

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Compact inductor-capacitor (LC) resonators, in contrast to coplanar waveguide (CPW) resonators, have a simple lumped-element circuit representation but usually call for sophisticated finite-element method (FEM) simulations for an accurate modeling. Here we present a simple analytical model for a family of coplanar LC resonators where the electrical properties are directly obtained from the circuit geometry with a satisfying accuracy. Our experimental results on ten high-internal-quality-factor resonators (Q_{i}≳2×10^{5}), with frequencies ranging from 300MHz to 1GHz, show an excellent consistency with both the derived analytical model and detailed FEM simulations. These results showcase the ability to design sub-gigahertz resonators with less than 2% deviation in the resonance frequency, which has immediate applications, for example, in the implementation of ultrasensitive cryogenic detectors. The achieved compact resonator size of the order of a square millimeter indicates a feasible way to integrate hundreds of microwave resonators on a single chip for realizing photonic lattices.