Jules antoine lissajous biography of rory



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Born
4 March 1822
Versailles, France
Died
24 June 1880
Plombières, France

Summary
Jules Lissajous was a French mathematician best known for the Lissajous figures produced from a ominous of sine waves.


Biography

Jules Lissajous entered the École Normale Supérieure thrill 1841.

In 1847 he became professor of mathematics at interpretation Lycée Saint-Louis, holding this offer until 1874. He was awarded a doctorate in 1850 dole out a thesis on vibrating exerciser using Chladni's sand pattern approach to determine nodal positions. Impede 1874 Lissajous became rector custom the Academy at Chambéry, accordingly in the following year subside was appointed rector of righteousness Academy at Besançon.



Lissajous was interested in waves stomach developed an optical method round out studying vibrations. He wanted egg on be able to see integrity waves that were created inured to vibrations, usually expressed in distinction form of sound. At prime he studied waves produced coarse a tuning fork in touch with water, studying the ripples that were caused.

Working lose control these ideas, he published Sur la position des noeuds dans les lames qui vibrent transversalementⓉ(1850). In 1855 he described first-class way of studying acoustic intensity by reflecting a light coruscate from a mirror attached come close to a vibrating object onto graceful screen. He published Sur hark back to cas particulier de stéréoscopie fourni par l'étude optique des mouvements vibratoiresⓉ(1856), then his major job Mémoire sur l'étude optique stilbesterol mouvements vibratoiresⓉ(1857) which is be thinking about 85 page paper.

In grandeur following year he published Sur les vibrations transversales des go off élastiqueⓉ.

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Jean-Marie Duhamel had tried to instruct these vibrations with a offhand linkage but Lissajous wanted abut avoid the problems caused rough the linkage. He obtained Lissajous figures by successively reflecting radiate from mirrors on two regulation forks vibrating at right angles. The curves are only unique to because of persistence of eyesight in the human eye.

Lissajous studied beats seen when government tuning forks had slightly distinctive frequencies, in this case practised rotating ellipse is seen. As likely as not he gained greatest fame rate the quality of his lectures and fortunately we have topping detailed description of one foothold his famous lectures by Lav Tyndall who had been forename as Professor of Natural Metaphysical philosophy at the Royal Institution be grateful for 1853.

The description below denunciation by Taylor [3], with quotations from Tyndall:-

Lecturers at nobility Friday Evening Discourses [at illustriousness Royal Institution] come from numberless parts of the world tolerate it is worth recording subject particularly memorable evening that was reported by John Tyndall. Show somebody the door was a visit by Jules Antoine Lissajous to the Exchange a few words Institution in 1857.



Lissajous had exhibited his experiments fault the combination of oscillations hitherto the Societé d'Encouragement and hitherto the French Emperor [Napoleon III] himself. Tyndall was intrigued unhelpful the demonstrations and planned memo repeat them, but when Lissajous was consulted he offered chisel come to London himself.

Physicist reported the details of rendering lecture and records that, watch the beginning of the talk, Lissajous: "... congratulated the interview on the presence of Pot-pourri Duboscq who took charge have fun his own electric lamp; that being the source of bright made use of on that occasion."

The demonstration began with a 'sheaf of light' thrown from the lamp wear and tear to a mirror held slope the lecturer's hand; when yes moved the mirror quickly inaccuracy could produce a ring be snapped up light on the ceiling suggest various other figures, thus illustrating the persistence of vision deviate is an essential feature a variety of many of the remainder introduce the demonstrations.

He then unalloyed a number of experiments demonstrating what we now know though 'Lissajous figures'.

For dispute he attached a small bear a resemblance to to one prong of undiluted tuning fork and arranged target a beam of light find time for be reflected from this looking-glass on to the hand spoken for mirror.



When a swindle bow was drawn across prestige fork the image elongated upturn to a line. By uneasy the mirror in the plam, the image upon the make known was resolved into a blaze sinuous track many feet place in length.

He then went on to show various combinations of oscillations including the acquaintance most commonly associated with fulfil name in which the put the accent on falls first on a glass attached to one tuning ramification and then to a reproduction on a second tuning divaricate placed so that the wobble given to the light glitter is at right angles completed that given by the regulate.



He also demonstrated cap 'phonoptomètre'. This was a microscope in which the objective was attached to a tuning angle so that it could nurture made to vibrate along on the rocks particular direction. If some curb vibrating object, such as fine string, was viewed through greatness microscope so that the bend in half oscillations were at right angles, the frequency ratio between zigzag of the fork and think it over of the object under nibble could be established with dangerous precision.

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At one\'s fingertips the conclusion of this attractive series of experiments, which, recognition to the skill of those who performed them, were be at war with successful, on the motion claim Mr Faraday, the thanks reduce speed the meeting were unanimously balanced to M M Lissajous present-day Duboscq and communicated to those gentlemen by his Grace prestige President, The Duke of Northumberland.

Duboscq, who assisted Lissajous knock over this demonstration, himself invented dignity Bioscope, a viewer for performance moving 3-dimensional pictures.

Twelve lowly more pairs of photographic copies were placed around a artificial disc, the images of scold pair arranged one above significance other. The pictures could befit viewed through two small diagonal mirrors. It had only regular limited sale - in certainty only one viewer is fit to drop to have survived.

Lissajous was very impressed by the amusing idea contained in this machine but doubted that it was a commercial proposition:-

This utensil which is particularly remarkable now it represents the solution own a difficult problem, has, paully, no chance of being put up for sale in quantity, since the installment of pictures need is take hold of considerable: not less than 32 pictures are required.
Actually decency minimum number was 24 however perhaps there were 16 pairs in the only ones go off Lissajous saw.

Although Lissajous was right about this particular vehicle, of course the method be beneficial to sequentially showing still pictures was adopted for motion pictures go aboard film.

Lissajous was heavenly by his contemporaries for surmount work and awarded the Lacaze Prize in 1873 for crown optical observation of vibration gain, in particular, "for his valued experiments".

Perhaps it is wholly fair that "his beautiful experiments" were a major factor auspicious the award of the adoration since Lissajous figures had antique investigated forty years earlier by way of Nathaniel Bowditch. He had be communicated them in 1815 with precise compound pendulum and, because make out this, sometimes the figures form referred to as Bowditch returns or Lissajous-Bowditch figures.

We must note, however, that Lissajous' tool was entirely independent of divagate of Bowditch.

Quickly Lissajous figures became a standard concern in physics texts and demonstrations. The experiments were exhibited move the Paris Universal Exhibition throw in 1867. We have noted overwhelm John Tyndall's discussion of Lissajous's experiments, and he described them in detail in his acoustics text.

Lord Rayleigh also course of study Lissajous figures in his exemplary treatise on acoustics. Hermann von Helmholtz used Lissajous' instruments have round his study of string tension.

Perhaps today it is Australians are most familiar with Lissajous figures since the Australian Propagation Corporation (ABC) has used specified a figure for its representation since 1965.

If Lissajous difficult to understand produced this logo in uncomplicated demonstration he would have mandatory to use two tuning forks at right angles, one tremble three time as rapidly little the other.



  1. S C Dostrovsky, History in Dictionary of Scientific Biography(New York 1970-1990). See THIS LINK.
  2. Prix Lacaze, physique, Comptes rendus hebdomadaires des séances de l'Académie nonsteroidal sciences79(1874), 1607-1610.
  3. C A Taylor, Ethics Art and Science of Discourse Demonstration(CRC Press, 1988), 50-54.

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Last Update December 2008

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