We investigate analytically the coupling of a coplanar waveguide resonator to a coplanar waveguide feedline. Using a conformal mapping technique we obtain an expression for the characteristic mode impedances and coupling coefficients of an asymmetric multi-conductor transmission line. Leading order terms for the external quality factor and frequency shift are calculated. The obtained analytical results are relevant for designing circuit-QED quantum systems and frequency division multiplexing of superconducting bolometers, detectors and similar microwave-range multi-pixel devices.

中文翻译：

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传输线耦合共面波导谐振器的品质因数

我们分析地研究共面波导谐振器到共面波导馈线的耦合。使用保形映射技术，我们获得了不对称多导体传输线的特征模式阻抗和耦合系数的表达式。计算外部品质因数和频移的领先订单条件。获得的分析结果与设计电路QED量子系统以及超导辐射热计，探测器和类似的微波范围多像素设备的频分复用有关。