# Resonance Lineshapes of a Driven Damped Harmonic Oscillator

Resonance Lineshapes of a Driven Damped Harmonic Oscillator

The plots show (solid lines) the frequency dependence of the amplitude, the phase, the in-phase component, and the quadrature component of a driven damped harmonic oscillator. The variable parameter is the quality factor of the oscillator, that is, the ratio of the oscillator's resonance frequency to its damping constant . The (normalized) lineshapes are presented in dimensionless frequency units, giving the representations a universal character that can be applied to any driven oscillator (mechanics, electronics, optics, etc.). The plots also show (dashed lines) the Lorentzian lineshapes obtained in the high- limit when .

Q

ω

0

γ

Q

ω>>γ

0