How do lissajous curves work?

Lissajous used a narrow stream of sand pouring from the base of a compound pendulum to produce the curves. If the frequency and phase angle of the two curves are identical, the resultant is a straight line lying at 45° (and 225°) to the coordinate axes.

What are lissajous curves and how are they generated?

They are the shapes created when the x-coordinate of a curve is described by one sine wave, and the y-coordinate is described by another sine wave. By adjusting the frequency of each wave, the phase between them, and their relative amplitudes, interesting patterns emerge.

What is lissajous method?

The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0º or 180º phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45º to the horizontal means the amplitudes are equal.

How do you read Lissajous figures?

Lissajous curves are given by the two parametric equations shown here. Their appearance is sensitive to the ratio a/b. When a/b= 1, the figure is an ellipse. The ratio a/b also determines the number of lobes in the figure — ratios of 3/1 or 1/3 produce figures with three major lobes.

How do you find the Lissajous pattern?

To determine the ratio of frequencies of signal by using the Lissajous pattern, simply draw arbitrary horizontal and vertical line on lissajous pattern intersecting the Lissajous pattern. Now count the number of horizontal and vertical tangencies by Lissajous pattern with these horizontal and vertical line.

How lissajous patterns are displayed?

A Lissajous figure is displayed on the screen when sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. If the Lissajous figure is in circular shape, then the phase difference between the two sinusoidal signals will be 90∘ or 270∘.

What are the factors on which shape of Lissajous figure depends?

The shape of Lissajous figures depends on frequency and phase relationship of 2 sine waves. 2 sine waves of same frequency and amplitude may produce a straight line an ellipse or a circle depending on their phase difference.

What are lissajous patterns from the Lissajous patterns How can the frequency and the phase difference be measured?

How do you read lissajous?

What are lissajous patterns and how do you find frequency with them?

How do you find the frequency of a Lissajous pattern?

To determine the frequency from any Lissajous figure, count the number of horizontal loops in the pattern, divide it by the number of vertical loops and multiply this quantity by fh (known or standard frequency).