Lissajous Figures Applications

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Discussion Overview

The discussion centers on the applications of Lissajous figures, exploring their relevance in both scientific contexts and everyday life. Participants seek to identify various uses beyond their aesthetic representation, such as in signal analysis.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • Some participants propose that Lissajous figures can be used to compare amplitudes, frequencies, and phase differences between two oscillatory signals.
  • One participant explains that if two sinusoidal signals of equal amplitude and frequency are analyzed, the phase difference can be determined by the shape of the Lissajous figure displayed on an oscilloscope.
  • It is noted that a straight line indicates the waves are in phase, while a circle suggests they are pi/2 out of phase.
  • Another participant questions the existence of additional applications beyond oscilloscope displays.

Areas of Agreement / Disagreement

Participants express curiosity about the applications of Lissajous figures, but there is no consensus on additional uses beyond those mentioned, indicating that multiple views remain on the topic.

Contextual Notes

Some limitations include a lack of examples beyond oscilloscope applications and uncertainty regarding the broader relevance of Lissajous figures in various fields.

ecthelion4
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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.
 
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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.
 
Claude Bile said:
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.
 
Gokul43201 said:
...when displayed on an oscilloscope.

Where else?
 
Integral said:
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.
 

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