Intrinsic Quality Factor Extraction of Multi-Port Cavity with Arbitrary Coupling

We derived S-parameter based expressions for the intrinsic quality factor of an arbitrary coupled multiport microwave cavity and non-ideal test fixture. Practical accuracy limitations of the obtained expressions specifically for superconducting accelerator cavities were evaluated both analytically and with the simulation software. The resulting formulas can be used to extract intrinsic quality factor of normal conducting and superconducting cavities directly from calibrated S-parameter measurements.