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topic:physics:resonators:cheatsheet [2023/12/01 23:00] – [Loss in resonators] samueltopic:physics:resonators:cheatsheet [2023/12/01 23:05] (current) – [Loss in resonators] samuel
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 ===== Loss in resonators ===== ===== Loss in resonators =====
  
-^ Quality factor      |  $Q$                || +^ Quality factor      |  $Q$                                   unitless |
 Possible definition  $Q = 2\pi \frac{\text{energy in resonator}}{\text{energy lost per cycle}}$ Possible definition  $Q = 2\pi \frac{\text{energy in resonator}}{\text{energy lost per cycle}}$
  
-^ Total loss rate | $\kappa $ | [rad/s] |+^ Total loss rate | $\kappa $ | [rad/s] | 
-  | $\kappa = \kappa_i  + \kappa_e $ +                | $\kappa = \kappa_i  + \kappa_e $ || 
-^ Intrinsic losses | $\kappa_i $ | [rad/s] ||  +^ Intrinsic losses | $\kappa_i $ | [rad/s] | 
-^ Extrinsic losses | $\kappa_e $ | [rad/s] ||  +^ Extrinsic losses | $\kappa_e $ | [rad/s] |  
-Loss rate often given in [Hz] as $\kappa/2\pi$.  +|                  |  $Q = \frac{\omega}{\kappa}$                || 
 +Loss rate often given in [Hz] as $\kappa/2\pi$. 
 + 
 +Other common symbols for losses are: 
 +^ Damping rate  | $\Gamma$ | [rad/s] |
topic/physics/resonators/cheatsheet.1701471612.txt.gz · Last modified: by samuel