An analysis method for asymmetric resonator transmission applied to superconducting devices

An analysis method for asymmetric resonator transmission applied to superconducting devices
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DOI:
10.1063/1.3692073
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发表时间:
2012-03-01
影响因子:
3.2
通讯作者:
Osborn, K. D.
Osborn, K. D.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Khalil, M. S.;Stoutimore, M. J. A.;Osborn, K. D.

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我们研究通过非理想微波谐振电路的传输。一般的解析谐振线形推导电感和电容耦合与不匹配的输入和输出传输阻抗,它被发现,对于某些非理想条件下,线形是不对称的。我们描述了一种用于提取准确的内部品质因子(Q(i))的分析方法,直径校正方法(DCM),并将其与用于毫开尔文谐振腔测量的常规方法,φ旋转方法(φ RM)进行比较。我们分析发现,当谐振线形状的不对称性较高时,phi RM确定性地高估了Q(i),并且使用DCM消除了该误差。这两种方法之间的一致的差异,观察时,他们被用来分析从数值线性求解器和数据的非对称共面超导薄膜谐振器的模拟。(C)2012年美国物理学会。[http://dx.doi.org/10.1063/1.3692073]
We examine the transmission through nonideal microwave resonant circuits. The general analytical resonance line shape is derived for both inductive and capacitive coupling with mismatched input and output transmission impedances, and it is found that, for certain non-ideal conditions, the line shape is asymmetric. We describe an analysis method for extracting an accurate internal quality factor (Q(i)), the diameter correction method (DCM), and compare it to the conventional method used for millikelvin resonator measurements, the phi rotation method (phi RM). We analytically find that the phi RM deterministically overestimates Q(i) when the asymmetry of the resonance line shape is high, and that this error is eliminated with the DCM. A consistent discrepancy between the two methods is observed when they are used to analyze both simulations from a numerical linear solver and data from asymmetric coplanar superconducting thin-film resonators. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3692073]