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Method of Extracting Unloaded Q Applied Across Different Resonator Technologies

When comparing different resonator technologies, it is essential that fundamental properties such as the unloaded Q be accurately portrayed. Important Figure-of-Merit (FOM) numbers for resonators include operating frequency, coupling coefficient (kt2), Q, and the products - - kt2*Q and f*Q. Three of the five Figure's of Merit depend on an accurate evaluation of unloaded Q. Using a new equation for Q (derived from first principles), we can measure both Q and the coupling coefficient for a variety of resonator technologies and compare the relative performance metrics of each technology.