Compact inductor-capacitor resonators at sub-gigahertz frequencies
- URL: http://arxiv.org/abs/2304.12744v1
- Date: Tue, 25 Apr 2023 11:45:51 GMT
- Title: Compact inductor-capacitor resonators at sub-gigahertz frequencies
- Authors: Qi-Ming Chen and Priyank Singh and Rostislav Duda and Giacomo Catto
and Aarne Ker\"anen and Arman Alizadeh and Timm M\"orstedt and Aashish Sah
and Andr\'as Gunyh\'o and Wei Liu and Mikko M\"ott\"onen
- Abstract summary: We present an simple analytical model for a family of coplanar LC resonators with satisfying accuracy.
Results showcase the ability to design sub-gigahertz resonators with less than $2%$ deviation in the resonance frequency.
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.
- Score: 4.419682750255655
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 modelling. Here we present an 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 $10$ high-internal-quality-factor resonators ($Q_{\rm i}\gtrsim 2\times
10^{5}$), with frequency ranging roughly from $300\,{\rm MHz}$ to $1\,{\rm
GHz}$, 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.
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