What is lissajous used for?

A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor. It is also used to compare two different electrical signals: a known reference signal and a signal to be tested.

What are Lissajous figures in physics?

Definition of Lissajous figure : any of an infinite variety of curves formed by combining two mutually perpendicular simple harmonic motions, commonly exhibited by the oscilloscope, and used in studying frequency, amplitude, and phase relations of harmonic variables.

What are measurements from a Lissajous figure?

Lissajous figures are used for the measurement of frequency and phase difference. The patterns used to measure phase and frequency with a cathode ray oscilloscope are called Lissajous pattern.

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∘.

Why the Lissajous figure is very useful?

Lissajous figure, also called Bowditch Curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. In general, the curves can be used to analyze the properties of any pair of simple harmonic motions that are at right angles to each other.

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

Answer: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 information can we get from Lissajous figure about the signals?

By examining the Lissajous pattern, certain information about the relationship between the two signals becomes clear. The metrics of interest are frequency, ratio, relative amplitude and phase shift.

How do you find the phase difference of a Lissajous pattern?

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.

What are Lissajous tuning forks?

In response to their demand, Lissajous invented the Lissajous Tuning Forks, which turned out to be a great success since they not only allowed people to visualize and analyse sound vibrations, but also showed the beauty of math through interesting patterns. The structure and usage of Lissajous Tuning Forks are shown in Figure 3-b.

What is the lissajou pattern?

The lissajou figure or the lissajou pattern is constructed by the intersection of two sinusoidal curved axes of which are perpendicular to each other or maintained at right angles to each other. The lissajou figure was initially studied by the American mathematician Nathaniel Bowditch in the year 1815.

What is a Lissajous orbit?

In orbital mechanics, a Lissajous orbit ( pronounced [li.sa.ʒu] ), named after Jules Antoine Lissajous, is a quasi-periodic orbital trajectory that an object can follow around a Lagrangian point of a three-body system without requiring any propulsion.

What is a Lissajous curve?

The Lissajous ( LIH-suh-zhoo or /ˈlɪsəʒuː/ ) curves pictured above are a family of curves that can be graphed as a point vibrating up and down and side to side due to simple harmonic motion and are excellent for visualizing sound.