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THE HISTORY OF THE LASER Mario Bertolotti University of Rome ‘La Sapienza’ Translated from Storia del laser by M Bertolotti Bollati Boringhieri 1999 Copyright: # 1999 Bollati Boringhieri Editore Torino Institute of Physics Publishing Bristol and Philadelphia Copyright © 2005 IOP Publishing Ltd. #IOPPublishingLtd2005 Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemor transmittedinanyformorbyanymeans,electronic,mechanical, photocopying,recordingor otherwise, without the prior permission of the publisher. Multiple copying is permitted in accordance with the terms of licences issued by the Copyright Licensing Agency under the termsofitsagreementwithUniversitiesUK(UUK). BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary. ISBN0750309113 LibraryofCongressCataloging-in-PublicationDataareavailable CommissioningEditor:TomSpicer ProductionEditor:SimonLaurenson ProductionControl:SarahPlentyandLeahFielding CoverDesign:Fre´de´riqueSwist Marketing:NicolaNewey,LouiseHighamandBenThomas PublishedbyInstituteofPhysicsPublishing,whollyownedbyTheInstituteofPhysics,London InstituteofPhysicsPublishing,DiracHouse,TempleBack,BristolBS16BE,UK USOffice:InstituteofPhysicsPublishing, Suite929,The PublicLedgerBuilding,150South IndependenceMallWest,Philadelphia,PA19106,USA TypesetbyAcademicþTechnical,Bristol IndexbyIndexingSpecialists(UK)Ltd,Hove,EastSussex PrintedintheUKbyMPGBooksLtd,Bodmin,Cornwall Copyright © 2005 IOP Publishing Ltd. CONTENTS Prefacevii Introduction1 1.Waveandcorpusculartheoriesoflight13 2.Spectroscopy31 3.Blackbodyradiation48 4.TheRutherford–BohrAtom64 5.Einstein82 6.Einsteinandlight:thephotoelectriceffectandstimulated emission101 7.Microwaves115 8.Spectroscopy:ActII138 9.Magneticresonance154 10.Themaser176 11.Theproposalforanopticalmaser207 12.Themisfortune(orfortune?)ofGordonGould218 13.Andfinally—thelaser!226 14.Asolutioninsearchofaproblemormanyproblemswiththe samesolution?Applicationsoflasers262 Bibliography297 Index 299 v Copyright © 2005 IOP Publishing Ltd. PREFACE Itisamazinghowhumanimaginationanticipatedtheinventionofthelaser. H G Wells in his famous novel ‘The War of the Worlds’ (1898) describes a death ray, and in the Flash Gordon comics (1950) light-ray guns are widely used;weapons which would be nowidentified as high-powerlasers. The word laser is by now well known to the layman, who is literally surrounded by applications of laser light, in the fields of medicine (surgical and diagnostic procedures), telecommunications (fibre-optic telephone links, compact-disk information storage and retriving, holograms) and technology (laser drilling of materials, geodesic measurements, newspaper printing). Laserscomeindifferentshapes,sizesandprices,andgounderdifferent namessuchasruby(thefirsttooperate),helium–neon,argon,semiconductor laser and others. Notwithstanding their popularity, very few people really know what a laser is and how it works. In this book, I will try to explain in the clearest possible way (although it will prove impossible to avoid some technical considerations) how people managed to build the first lasers and the principles by which they operate (together with the masers, their counterpartin the micro-waverange). At this stage, it suffices to say that the laser is a light source with peculiar characteristics, drastically different from those of conventional sources such as a candle or a light bulb. In fact, laser light consists of a single colour (not a mixture of colours like white light) and is radiated in a single direction (not in all directions, as in a light bulb), which enables us to collect it with a lens and focus it in a region of very small dimensions. The spectral purity and directionality of laser light dramatically improves theefficiency ofthis procedure, making it possible toconcentratea sizeable amountofpowerinasmallregionfordifferentoperations,likethemeltingor cutting ofa metal. Intheapplicationsmentionedabove,thelaserisbasicallyusedasavery powerful light bulb. However, there are others (like optical communica- tions),inwhichitsmostimportantcharacteristicsarethespectralbandwidth andangularapertureoftheemittedbeam.Tounderstandthem,weneedto consider what light is and how it is emitted, which in turn depends on the emitter, the atom, a task which requires the introduction of some basic concepts of quantum mechanics. We will discuss the different emission mechanisms, that is spontaneous emission—the dominating process in all Copyright © 2005 IOP Publishing Ltd. naturalsources—andstimulatedemission—theprocessgoverninglaserlight and responsible forits peculiar characteristics. Inordertoexplainthedifferentphenomenaaccordingtoanhistorical sequence, we will retrace the story of light and the first steps of quantum mechanics. In so doing, we will appreciate that science is built gradually, like a jigsaw, and that many of its ideas, too advanced with respect to their historical context, are bound to remain unappreciated and unused, while others may blossom simultaneously and independently in the minds of many people, as if they were the unavoidable consequence of the preceding ideas and the indispensable premiseof those tofollow. Before beginning our story I wish to thank The American Institute of Physics Emilio Segre` Visual Archives who provided the authorization to publish the photographs. A special acknowledgment goes to my wife who read the Italian text and suggested a number of changes which notably improveditsclarity.FinallyIwishtothankTimRichardsonforconverting my Anglo–Italian into English, and Tom Spicer and Leah Fielding of Insituteof Physics Publishingfor their encouragement. Copyright © 2005 IOP Publishing Ltd. INTRODUCTION The creation of the world, as described in the first book of Genesis, is not actually at variance with the most recent cosmological theory of the Big Bang, according to which the Universe started with a great explosion of light. Buthowdoesthelightoriginate?Achildwouldlookatinastonishment andrespondthatlightcomesfromtheSunorfromanelectriclamporafire. Certainly this would be correct. However, why does the Sun emit light and similarly, though to a lesser extent, why does fire? For thousands of years mankind did not ask, or rather linked light to philosophical and religious concepts, putting emphasis principally on the problems connected with vision, which in those early times were the most pertinent issues related to light. In Greek mythology we find the Titan Epimetheus, who assumed the task of giving to each animal of the Creation a particular characteristic to protect itself and survive. He provided the tortoise with a hard shell, the wasp with a sting, and so on, until when he came to the human race he hadexhaustedallthepossibilitiesofnatureandwasunabletofindanything for man. Plato writes that man stood ‘nude, barefoot, without a house and unarmed’; Epimetheus asked for help from his brother Prometheus who stolefirefromZeusandpresentedittomantohelpdevelopmankind,culture and technologies. Full of rage and jealousy, Zeus punished Prometheus by chaining him to the Caucasian mountains where every day an eagle tore at his liver. To prevent mankind enjoying the gift, he then ordered Ephesus to mould the first mortal woman, the beautiful Pandora, who married Epimetheus and through curiosity opened a box, given to her protection, full of all the evils of the world which spread and caused misfortune to all mankind. Inasimilarlyfantasticwaythenatureoflightwascleartotheancient Egyptians,forwhomitoriginatedfromtheglanceofRah,theirSungod.A priestin1300BCwrote‘WhenthegodRahopenshiseyesthereislight;when hecloses hiseyes, night falls’. It would be possible to quote many other examples showing that the problem of the origin and nature of light was in ancient times considered ina religious and fantastic frame. Copyright © 2005 IOP Publishing Ltd. The understanding oflight ofthe ancientGreeks Pythagoras, in the 6th century BC when in Greece philosophy and science were developing together, formulated a theory of light according to which rectilinear visual rays leave the eye and touch objects, so exciting visual sensation. AccordingtoEmpedocles(circa483–423BC),Aphrodite,thegoddessof love, forged our eyes with the four elements with which he thought every- thing was made (soil, water, air and fire) and lit the fire, just like a man using a lantern to light up his path in the dark. Vision occurred from the eye to theobject: theeyes emitted their own light. Plato (circa 428–427 to 348–347BC) assumed that the fire in the eye emitted light and that this interior light, mixed with daylight, formed a linkbetweenobjectsintheworldandthesoul,becomingthebridgethrough whichthesmallest movements ofexternal objectsgeneratevisualsensation. Accordingtothephilosophertwoformsoflight—oneinternalandtheother external—mix and act as mediator between man and a dark and cavernous external world. The delicate beginnings of a transition towards a mechanical view of vision started with Euclid, the great Alexandrian mathematician who lived around 300BC and in his writings on optics provided a clever geometric theory of vision. Euclid continued to believe that light came from the eye but, at variance with the vague luminous and ethereal emanation assumed byEmpedoclesandPlato,itbecamearectilinearlightraytowhichmathema- tical deduction could be applied. In his extended mathematical studies the philosopher gave geometrical form to visual rays and developed some of the laws of geometrical optics as we know them today. He, and like him Archimedes (circa 287–212BC) and Heron (3rd or 2nd century AD), joined Pythagoras and his disciples. Instead Democritus (470–360BC) and the atomists assumed that the illuminated objects emitted atoms, which consti- tuted images of those same objects, and which, when collected by the eye, generated vision. The damage done by Aristotle Lateron,Aristotle(384–322BC)definedlightas‘theactionofatransparent body, in that it is transparent’ observing that a transparent body has the ‘power’ to transmit light, but does not become effectively transparent until light hasgonethrough it and triggered its transparency. If we observe the eyes of a cat at night, we notice they are bright and that cats can easily walk in the dark; this fact convinced ancient people of therealexistenceofafireintheeyesastoldbyEmpedoclesandPlato.How- ever,apricklyquestionarose:ifasourceoflightexistsintheeye,whyisman not able to see at night? Answers were many, but Aristotle cut discussion short by insisting that dark air is opaque: only when a lamp is fired does it Copyright © 2005 IOP Publishing Ltd. become transparent because light activates its latent transparency, after which man can see. We can still ask why the same reasoning did not apply tothecatthatseeswithoutthelampfired.Inanycasealltheseconsiderations did not answer the questions concerning the nature of light and how it is produced.DuringtheMiddleAges,whenproblemsofnaturewerediscussed on the basis of Aristotelian philosophy, according to which the ‘nature’ of things consists of the reasons for their existence, that is in their ultimate end,no progress was made to finda solution. Saint Thomas Aquinas (1227–1274) declared that ‘the origin of our knowledge is in the senses, even of those things that transcend sense’ and ‘metaphysics has received its name, that is beyond physics, because to us, who naturally arrive at the knowledge of things immaterial by means of things sensible, it offers itself by rightsas an object of study after physics’. Aristotelismwasextensivelyadoptedin13th-centuryEurope,dominat- ingforatleastfourcenturiessomuchsothatevenin1624theparliamentin Parisdeclaredthat,undersentenceofdeath,nobodycouldsupportorteach doctrines opposed tothose of Aristotle. The scholars of the Middle Ages considered Aristotelism an encyclo- paedic body of knowledge which could not be improved. They dropped the view of Saint Thomas concerning the relationship between physics and metaphysics affirming ‘it is not the province of physics to theorize on its ownfactsandlawsortoundertakeareconstructionofcosmologyormeta- physics...if a physical theory is inconsistent with received metaphysical teaching,itcannotbeadmitted,becausemetaphysicsisthesupremenatural science, not physics’. Accordingly they interpreted the external world by applying only formal logic, extracting deductions from dark and sterile principleswhichinrealityrepresentedthepetrifactionofflawedAristotelian physics, an approach which brought nothing more than a prolix sophistry which prevented scientific progress during theMiddleAges. Although Aristotle may be considered one of the greatest philoso- phers—one of the founders of logic—his teaching arrived at the moment ofdeclineofthecreativeperiodofGreekthinking,andinsteadofstimulating furtherintellectualactivityitwasacceptedasadogmaandhaltedanyother philosophicalactivity.Twothousandyearslater,atthetimeofthearousalof newphilosophical thinking,practicallyanyprogressinscience,inlogic and inphilosophywasforcedtobeginwithanoppositiontoAristoteliantheories. The rise ofmodern science A necessary condition for the emergence of modern science was emancipa- tion from the Thomist philosophy. The process was aided by a number of circumstances. During the 15th century, various causes contributed to the decline of the papacy which resulted in a very rapid political and cultural change to society. Gunpowder strengthened central government at the Copyright © 2005 IOP Publishing Ltd. Figure1. (a)Ptolemaicmodelaccepteduptotheearly17thcentury:theEarthisinthecentre andSunandplanetsrevolvearoundit.Planetsdescribesmallcircles(epicycles)whosecentres move on large circles (deferents) with the Earth as the centre. (b) Copernican vision of the solar system: the Sun is at the centre and the planets turn around it in concentric circular orbits (from Burgel B H 1946 Dai mondi lontani, Einaudi, Torino, p 37 and Abetti G 1949 Storiadell’Astronomia,Vallecchi,Firenze). expenseofthefeudalnoblesociety,andthenew—essentiallyclassic—culture venerated Greece and Rome and condemned the Middle Ages. Decisiveelementsfortherenewalofsciencewerethenewrelationship between Earth and Sun as proposed by Nicolas Copernicus (1473–1543) in 1543, according to which the Earth revolves around the Sun and not vice- versa, as was assumed since the times of Ptolemy (Egyptian astronomer, mathematician and geographer, circa 100–178AD) (see figure 1) and, at the beginning of the 17th century,the success of Kepler’s (1571–1630) theories. Postulating three laws which rule the motion of planets around the Sun, Kepler demonstrated the falsity of the Aristotelian principle according to which celestial bodies are ofa different speciesfrom terrestrial ones. KeplerwasborninthesmalltownofWeilinWurttemberg.Hewaseducated tobecome aprotestantpastorbut,beinginfavourofCopernicus’ideas,was forcedtogiveupthisaspiration.Hisprofessorofmathematicsandastronomy recommended him for a teaching position in Graz, where he published in 1596hisfirstwork,MysteriumCosmographicum,inwhichheclearlyexpresses his belief in a mathematical harmony of the Universe. Being a protestant, he was exiled when the Archduke Ferdinand began the rigorous counter- reformation, and took refuge in Prague on the invitation of the astronomer TychoBrahe(1546–1601)withwhomhecollaborateduntilhisdeath.Heused theexactastronomicalobservationsofTychotoobtainhislawsofplanetary motion. After the death of the Emperor Rudolf II, he moved to Linz in an efforttodefend,successfully,hismotherfromachargeofwitchcraft.Whenin 1619 the Archduke Ferdinand was raised to the imperial throne with the name of Ferdinand II, the persecutions of protestants increased and in 1626 KeplerwasforcedtoleaveLinz.Aftertravellingwidely,hediedin1630while Copyright © 2005 IOP Publishing Ltd. journeying to Ratisbone to obtain justice from the Parliament. The Thirty Years War removed thereafter any trace of his burial, which was outside the city gates. Whilst not believing in them, Kepler, one of the architects of the astronomical revolution,producedhoroscopesthroughouthislifetoincrease hismeagrefinances. Kepler was fascinated by the old Pythagorean idea—which favoured the spherical form—and tried to find in the movements of planets the same proportions that appear in musical harmonics and in the shapes of regular polyhedra. In his vision, the planets were still living entities with an indivi- dualsoul, like theEarth. The rejection of thisfantastic viewofthephysical world, started by Galileo and ended by Newton, is barely alluded to by Kepler, and is present only in his scientific method of treating problems, at variance with the magic/symbolicattitude typical, forexample, ofalchemy. ThecelestialbodieswiththeSunatthecentreare,forKepler,arealiza- tion,althoughimperfect,ofasphericalimageoftheHolyTrinity.Alreadyin Mysterium Cosmographicum he writes: ‘the image of the trine God is a sphericalsurface,i.e.theFatheristhecentre,theSonistheexternalsurface andtheHolySpiritisliketheraysthatfromthecentreirradiatetowardsthe spherical surface’. Fromhisexaminationofthemotionoftheplanetshededucedthatthey revolve around the Sun, describing ellipses with the Sun at one of the foci (first law), and that the line which joins the Sun to a planet covers equal areas in equal times (second law). He then demonstrated that the orbits are not casual but the maximum distance of a planet from the Sun is in some ratio with the time employed to make a tour around the Sun itself (third law; figure2). Figure2. Kepler’slaws.(a)ThefirstlawstatesthatplanetsmoveonellipticorbitswiththeSun atonefocus.Theperihelionandaphelionarethepointofminimumandmaximumdistancefrom Sun,respectively.(b)ThesecondlawstatesthatthelinewhichconnectstheSuntotheplanet covers equal area in equal times. Therefore, the two shaded areas are equal if to cover each one the same time is employed, and the planet must have higher speed when travelling in thesegmentnearertotheSunthanwhenittravelsinamoredistantsegment.Thethirdlaw establishesthatthesquareofthetimeaplanetemploystomakeafulltriparoundtheSunis proportionaltothecubeofthemajorsemi-axisofitsorbit. Copyright © 2005 IOP Publishing Ltd.

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