容感性耦合谐振腔外Q值的电路模型公式
Circuit-model formulas for external-Q factor of resonant cavities with capacitive and inductive coupling
摘要：
腔的谐振模式的外部Q因子表示该谐振模式与耦合到腔的波导的传输模式之间的电磁耦合的强度。本文导出了腔与波导通过容性耦合和感性耦合时的外Q值的显式表达式。推导是基于经典的方法，使用反射系数来估计耦合强度。虽然目前的外Q值是通过三维计算机模拟计算的，但这些公式可能有助于在腔设计的初始阶段进行推测。
英文摘要：
The external-Q factor of a resonant mode of a cavity represents the strength of the electromagnetic coupling between this resonant mode and the transmission mode of a waveguide coupled to the cavity. In this paper, we derive formulas to explicitly give the external Q of the cavities coupled with the waveguide through capacitive and inductive coupling. The derivation is based on the classical method that uses the reflection coefficient to estimate the coupling strength. Although the external Q is evaluated via three-dimensional computer simulations currently, these formulas may be useful for making speculations in the initial stages of cavity design.
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