File:Harmonic oscillator gain.svg

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Summary

Log-log plot of the frequency response of an ideal harmonic oscillator, made with Gnuplot. The three sections of the graph can be understood as follows: Below resonance, the gain is approximately one, because the oscillator simply follows the driving force, neither amplifying nor attenuating it. Near resonance, the energy builds up inside the oscillator and the gain reaches a maximum (in a real oscillator, the height and sharpness of the peak are limited by the <a href="https://en.wikipedia.org/wiki/Q_factor" class="extiw" title="en:Q factor">Q factor</a>). At higher frequencies, the oscillator cannot "keep up with" the rapidly varying driving force, so the signal is attenuated more and more (and also shifted 180 degrees out of phase).

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File history

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current10:41, 6 January 2017Thumbnail for version as of 10:41, 6 January 20171,024 × 768 (20 KB)127.0.0.1 (talk)<p>Log-log plot of the frequency response of an ideal harmonic oscillator, made with Gnuplot. The three sections of the graph can be understood as follows: Below resonance, the gain is approximately one, because the oscillator simply follows the driving force, neither amplifying nor attenuating it. Near resonance, the energy builds up inside the oscillator and the gain reaches a maximum (in a real oscillator, the height and sharpness of the peak are limited by the <a href="https://en.wikipedia.org/wiki/Q_factor" class="extiw" title="en:Q factor">Q factor</a>). At higher frequencies, the oscillator cannot "keep up with" the rapidly varying driving force, so the signal is attenuated more and more (and also shifted 180 degrees out of phase). </p>
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