Lissajous Figures Applications

[ecthelion4]

Are there any applications for the lissajous figures? I haven't seen any applications for them besides the ABC logo so I was curious as to it's uses both in science and everyday life.

 

[Claude Bile]

These figures allow one to compare amplitudes, frequencies and phase between two oscillatory signals for one.

For example, if you had two sinusoidal signals of equal amplitude and frequency, you could determine the phase difference by looking at the shape of the trace. If the waves are in phase, you would see a straight line, if the waves are pi/2 out of phase, you would see a circle instead.

Claude.

 

[Gokul43201]

These figures allow one to compare amplitudes, frequencies and phase between two oscillatory signals for one.

For example, if you had two sinusoidal signals of equal amplitude and frequency, you could determine the phase difference by looking at the shape of the trace. If the waves are in phase, you would see a straight line, if the waves are pi/2 out of phase, you would see a circle instead...

...when displayed on an oscilloscope.

 

[Integral]

...when displayed on an oscilloscope.

Where else?

 

[Gokul43201]

Where else?

I don't know any other place. I just wanted to include it (for completeness) in case the OP wasn't aware of where these things are seen.