A beam of light reflected from the mirror would trace patterns which depended on the frequencies of the sounds. Lissajous figure definition of lissajous figure at. Discrete lissajous figures and applications article pdf available in ieee transactions on instrumentation and measurement 6312. It explores the field of harmony and disorder and let the user dip into an elegant, dreamlike. Figuras curvas lissajous y video en osciloscopio xy. Shape of these lissajous pattern changes with changes of phase difference between signal and ration of frequencies applied to the deflection. Its supposed to be very easy to understand at the high school level. Lissajous pronounced leesuhzhoo figures were discovered by the french physicist jules antoine lissajous. Seu uso como osciloscopio tem uma finalidade didatica amplamente explorada em todos os cursos tecnicos. His academic interests include geometry, numerical analysis and computer science. Lissajous patterns of cro or cathode ray oscilloscope.
Lissajouslike figures with triangular and square waves scielo. Lissajous patterns lissajous figures or lissajous curve. One of the more difficult concepts for my ece207 students to understand is that of using the oscilloscope in xy mode to view lissajous figures. The frequencies of the motion are in the ratio of two integers. The analytical expression for the propagation of lissajous singularities through an astigmatic lens is derived and used to study the dynamic evolution of lissajous singularities after passing. Hi there, this is a tutorial explaining the construction of a very basic lissajous emulator in excel. Sand pendulums are an easy and beautiful method for students of all ages to learn a bit about the harmonic motion. Tutorial a static lissajous emulator excel unusual. Named after jules antoine lissajous, a lissajous curve. Lissajous is a complex audiovideo signal generator built in maxmsp and inspired by the work of jules antoine lissajous.
This family of curves was investigated by nathaniel bowditch in 1815, and later in more detail by jules antoine lissajous in 1857. He would use sounds of different frequencies to vibrate a mirror. Lissajous figure definition, the series of plane curves traced by an object executing two mutually perpendicular harmonic motions. In a recent article in this journal there is a description of a method to determine the resonance of an air column, to calculate the speed of sound, using lissajous curves. Lissajouslike figures with triangular and square waves.
In mathematics, a lissajous curve lissajous figure or bowditch curve is the graph of a system of parametric equations. Figuras curvas lissajous y video en osciloscopio xy xyz. Lissajous figure lissajous figure on an oscilloscope. Lissajous figures and chebyshev polynomials julio castineira merino. The patterns that appear at the cro screen on connecting both pairs of the deflection plates horizontal deflection plates and vertical deflection. Pdf lissajouslike figures with triangular and square waves. When both pairs of the deflection plates horizontal deflection plates and vertical deflection plates of cro cathode ray oscilloscope are connected to two sinusoidal voltages, the patterns appear at cro screen are called the lissajous pattern. Lissajous patterns are the plane curves traced by a point that executes two independent harmonic motions in perpendicular directions. Edgar zuim pagina 10 2 ligue v na entrada vertical do osciloscopio e h na entrada horizontal. Phy2028 practical electronics ii information lissajous figures 1 lissajous figures introduction lissajous figures displayed on an oscilloscope can be used to give a quick estimate of the relative phase of two signals at the same frequency.