Differences

This shows you the differences between two versions of the page.

--- topic:physics:resonators:cheatsheet [2023/12/01 22:56] – samuel
+++ topic:physics:resonators:cheatsheet [2023/12/01 23:05] (current) – [Loss in resonators] samuel
@@ Line 7: / Line 7: @@
 ===== Loss in resonators =====
-^ Quality factor      |  $Q$                ||
+^ Quality factor      |  $Q$                                   | unitless |
 Possible definition  $Q = 2\pi \frac{\text{energy in resonator}}{\text{energy lost per cycle}}$
+^ 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] |

Kollektanee - Samuel Gyger