Cheatsheet - Resonator
| Resonance frequency | $f$ | [Hz] |
| Angular frequency | $\omega$ | [rad/s] |
| | $\omega = 2\pi f$ |
Loss in resonators
| Quality factor | $Q$ | unitless |
Possible definition $Q = 2\pi \frac{\text{energy in resonator}}{\text{energy lost per cycle}}$
| Total loss rate | $\kappa $ | [rad/s] |
| | $\kappa = \kappa_i + \kappa_e $ |
| Intrinsic losses | $\kappa_i $ | [rad/s] |
| Extrinsic losses | $\kappa_e $ | [rad/s] |
| | $Q = \frac{\omega}{\kappa}$ |
Loss rate often given in [Hz] as $\kappa/2\pi$.
Other common symbols for losses are:
| Damping rate | $\Gamma$ | [rad/s] |