Pdf 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. Edgar zuim pagina 10 2 ligue v na entrada vertical do osciloscopio e h na entrada horizontal. Pdf lissajous trajectories for lunar global positioning. 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. He would use sounds of different frequencies to vibrate a mirror. 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. It explores the field of harmony and disorder and let the user dip into. A beam of light reflected from the mirror would trace patterns which depended on the frequencies of the sounds.
Lissajouslike figures with triangular and square waves. This program draws the figures formed for several values of frequencies and some phase difference. Named after jules antoine lissajous, a lissajous curve. The voltage from the anode to ground will be alternating but from cathode to ground will be half wave rectified, so if you mesure across the 1 ohm resistor hence, the current you will see the rectified wave form you expected. Lissajous figures are obtained for the interference of two perpendicular oscillatory motions of different frequencies. Measuring the speed of sound using lissajous figures core. Lissajous pronounced leesuhzhoo figures were discovered by the french physicist jules antoine lissajous. 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.
Lissajouslike figures with triangular and square waves scielo. Download as docx, pdf, txt or read online from scribd. Lissajous like figures with triangular and square waves. Seu uso como osciloscopio tem uma finalidade didatica amplamente explorada em todos os cursos tecnicos. Figuras curvas lissajous y video en osciloscopio xy. This family of curves was investigated by nathaniel bowditch in 1815, and later in more detail by jules antoine lissajous in 1857. Figuras curvas lissajous y video en osciloscopio xy xyz.
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