====== 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] |