Coplanar Waveguide Resonant Cavity Tuning With Kinetic Inductance
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Solution Overview
Problem
Current methods for adjusting resonant cavities in superconducting quantum devices are inefficient and produce inaccurate results due to inadequate consideration of kinetic inductance in the computation of equivalent inductance, leading to time-consuming and labor-intensive analysis processes.
Innovation Solution
A method that computes the equivalent inductance of a coplanar waveguide by superposing geometric and kinetic inductance, allowing for accurate determination of resonance frequency and efficient adjustment of the resonant cavity by modifying construction parameters, thereby improving the accuracy and efficiency of parameter estimation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If common metal analysis method is used for resonant cavity, then analysis can be performed, but adjustment efficiency is low and time consuming
Solution Approach 1:
The patent changes the computational parameters by introducing kinetic inductance as a new parameter alongside geometric inductance. This parameter change enables the use of analytical formulas for resonance frequency calculation, transforming the analysis from time-consuming numerical methods to efficient closed-form calculations, thereby improving both accuracy and efficiency
Solution Approach 2:
The patent replaces the mechanical/numerical simulation approach with an analytical mathematical model. By substituting the computational method from numerical iteration to analytical formula-based calculation, the system achieves faster results while maintaining or improving accuracy through proper consideration of kinetic inductance effects
2Productivity
If formula-based parameter estimation is used for coplanar waveguide, then computation is simplified, but results are not sufficiently accurate due to inadequate kinetic inductance consideration
Solution Approach 1:
The patent modifies the computational model by adding kinetic inductance as an essential parameter to the equivalent inductance calculation. This parameter enhancement allows the analytical formula to maintain computational simplicity while achieving accurate results that properly account for superconducting material effects on current density distribution
Solution Approach 2:
The patent creates a composite computational model that combines geometric inductance (from structure) and kinetic inductance (from material properties). This composite approach integrates both structural and material characteristics into the equivalent inductance, enabling accurate parameter estimation through analytical formulas without sacrificing computational efficiency
Data Source
AI summary
A method for adjusting a resonant cavity includes: acquiring a construction parameter of a coplanar waveguide; determining, based on the construction parameter, an equivalent inductance of the coplanar waveguide, in which the equivalent inductance is a superposition of geometric inductance and kinetic inductance, and the equivalent inductance represents current density distribution on a metal surface of the coplanar waveguide; determining, based on the equivalent inductance, a resonance frequency of the resonant cavity formed by the coplanar waveguide, in which the resonance frequency is an analytical function with the construction parameter of the coplanar waveguide as a variable; and adjusting the resonance frequency of the resonant cavity to a target resonance frequency by adjusting a value of the construction parameter of the coplanar waveguide.