Quality factor via damping ratio¶

In case of a damped oscillating system where the damping force is linearly proportional to the oscillator’s frequency, the \(Q\) factor of the oscillator is inversely proportional to the system’s damping ratio. Hence greater values of the \(Q\) factor correspond to lower values of the damping ratio and to lower damping.

Links:

Wikipedia, derivable from here.

quality_factor¶: quality_factor of the oscillator.

Symbol:: Q
Latex:: \(Q\)
Dimension:: dimensionless

damping_ratio¶: damping_ratio of the oscillator. Also see Damped harmonic oscillator equation.

Symbol:: zeta
Latex:: \(\zeta\)
Dimension:: dimensionless

law¶

Q = 1 / (2 * zeta)

Latex:: \[Q = \frac{1}{2 \zeta}\]