Resonance frequency

Universal resonance curve

For a lightly damped linear oscillator with a resonance frequency ${\displaystyle \omega _{0}}$, the intensity of oscillations ${\displaystyle I}$ when the system is driven with a driving frequency ${\displaystyle \omega }$ is typically approximated by the following formula that is symmetric about the resonance frequency:$${\displaystyle I(\omega )\equiv |\chi |^{2}\propto {\frac {1}{(\omega -\omega _{0})^{2}+\left({\frac {\Gamma }{2}}\right)^{2}}}.}$$