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topic:physics:resonators:cheatsheet

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]
topic/physics/resonators/cheatsheet.txt · Last modified: by samuel