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Chapter 5 Light matters(第1页)

Chapter5Lightmatters

Howdoyht?Theremaways:onlightbulbs,basedonglowialfilaments,aswellas‘fluorest’tubes;laserpoialelightsoricalequipment,fromtoasterstocardashboards;sunlightandstarlight;even,forthoseihernaremitiesoftheplaheaurorae;firefliesandglohosphoresthewakeofboats。Whatisthemeansbywhichtheseverydifferentthihesamething:light?

&hattheyallier。Morespecifically,theyiricchargesmovingabout。Whenthesechargesaccelerate—thatis,whentheygetheirspeedortheirdireotion—thenasimplelawofphysicsisthattheyemitlight。Uandingthiswasoatsofthetheoryism。Aricfieldhasitsiriccharge,sueleanatom。Theelectricfield,attragoppositelychargedparticles,suchasprotohroughoutallspace,althoughitgetsweakerquitequioveawayfromtheele。AsInotedihisistheforcethatarisesfromstaticelectricity。

Osgatomsandberons

Nowsaytheeleoveswithasuddehefieldsurroundingitmustmovealso,siisliricablytotheele。ThethefieldisillustratedinFigure25,asa‘kionwillheeleovedohethefieldthatarisesfromtheeleenthashadtimetomakeitswaytotheproton。Thiswilltaketimesihekink,aheinformatioronhasmatesataboutthespeedoflight。Whenthegedoesgettotheproton,itwillmtowhethertheeleovedclosertoit(thusmakingthefieldexperieheprer,sothatitfeelsastroheraway(leadingtoaweakerfieldandaweakerforce)。

Nowsaytheeleweretomovebadforth。Thengeswouldothefieldsurroundingitinsynywiththisosandpropagateawaytotheproton,whichwouldthenbeioosturhisinformation。Butanosgelectricfield(andassociatedmaghatherushere)isexactlywhatwemeanbylight。

25。Liricfieldofa。astatioronandb。airoheeleaccelerates,thethefield—the‘kinks’inthefieldlines—propagateawayfromtheeleatthespeedoflight。

Sin—thesimplestosofasironandasion,wederstandfromthispiseratelight。First,let’sthinkabouteirradiatesanatomsittisowforcesbedparticles—theeledtheprotoomtomove。Butsironismuchlighterthaon,itmovesmoreeasilyplioffordwesideritsmotioothemoreorlessstationaryproton。Infact,theeleoscillatesatthefreque’selectricfield,beielyacceleratedordeceleratedastheelectricfieldvaries。

Thisprocessisabitlikepushingaaswiogettheswingtooscillateistopushonitinsynywiththenaturalosperiod—agentlepusheachtimetheswitomofitsmotiotakeseffetthechilduptoaheightthatthrillshimorher。Thechildexperiencesmaximumacattheapicesoftheswing’sosaximumspeedasshepassesuofsuspension。Soitiswiththeatomis—theehelightbeamisabsorbedbytheatom,aothemotiorons。

&’ssayyounowstoppushingonthesens?Thechildgraduallyswingsinarcsoflesseraudetain,soitiswiththeatom。Theelesgraduallystoposg,aheirmotiybyreradiatinglight。Thisistheprocessoflightemission,andisthebasisofmanylightsources,susiglights,aers。

NowinthispictureIhaveassumedthatsomelightbeamitselfisusedinitiallytogettheatomisosg。Butibegsthequestionofhowhtiplafactitispossibletouseothermeaheatoms。First,onesimplyheatupthematerial。Thisiswhatisdoneinanhtbulb,wherebypassiritthroughametalfilamesupthtemperature—severalthousahematerialheatsup,theelesstarttojostleaheatomsandwithohermoreahisbothexcitestheatomsaheelestoaccelerateaerapidly。Thisproducesaverybreofcoloursthatdependsouretowhichthematerialisheated,andnotupoiculartypeofatomsofwhichitismade。

&ymayalsobeusedinotherways。Iingdiodes(LEDs)forexample,asusedindisplays,arit—orflowofelesthroughthematerial—becaptureddireatom,sothelightisgeedmuchmoreeffitlythaninathermalsource。Afluoresttubealsousesarittodirectlyexs,onlythistimeinanebulousgaswithwhichthetubeisfilled。Finally,machemicalicalreareleaseenergy,someofwhichleavestheatomsormolethefht。Thisistheigivenoffbyfireflies,forexample。

&edpreviouslythatachastwopartstoit:itageofspeed,aswehavejustseeronandprotoninahydrogenatom,oritageofdirewithoutaspeed。Thislattercharacteristicofailiarfromtheexperiengaroundacar:youarepushedagainstthedoororthesideoftheseatandexperienceaforcethatturnsyouwiththecar。Theforceislargerthefasteryasyoueurn,andthisisanindithatyouareag,eventhoughyoumaynotbespeedingupdown。

&hiskiion,whenexperiencedbychargedparticles,causesthemtoradiatelight。Imagineaburoomoveiheywerestuwheel。Theygehewavelengthofwhichgetsshorterahephetslargerahefastertheymovearou,becauseofthisangularac。Thelightgehiswayisradiation,anditisaeaeX-rays。Itisalsorelatedtothelightseehernandsouthernaurorae,roduchargedpartitheSuospiralbytheEarth’smagheyemosphere。

Quantumlightemissionprocesses

Thesebasiismsunderpinalllightsources。Butthedetailsofhowtheatomsactasagrouphaveastrohecharacteristicsofthelightthatiseveed—asInotedinChapter1,alightbulbemitsaverydifferentshtthaer,forinstanordertouhis,wetledeeperiureofatoms,siheproittinglightfromanatomiselyeheanalogywithswihiobeaddedioaodatethefactthatatomsandmoleculesarequantummeitities。

Forourpurposethissimplymeansthattheeletheatomormoleonlyhyis。Usingmodel,itmeansthatthemaximumextensionoftheslitudeotbeanythingyoulike。Rather,itisrestrictedtoparticularvalues:itisquantized。Moreparticularly,theeheswingesis,orquanta,andwhenyoupushityouakeitjumpbyoa。Ihismeaheelelyieuabsorbsoremitsasiheenergiesinvolvedinmakingthesejumpsareverysmallbyeverydaystandards。Takealightinyourhouse。Thisesearateof,say,60W,or60Joulespersed。AsioheatomsibulbpossessesaboutonebillionbillionthofaJoule。Soalightbulbisemittienbillionbillionphotonspersed。

26。Anata。absorption,b。spontaneousemission,andc。stimulatedemission。

Anatombepreparediatesimplybyshininglighthtfrequenit,asshowninFigure26a。(Ofcourse,thisbegsthequestion,butwe’vealsoseeionplishedinotherways,forinstaniritthroughthemedium。)Ntoquantumtheoryacorollaryofthe‘jumpiheeleotionisthattheatomisareprettymuchstableagainsttheemissionoflightohesediscretestates。Theyarelikeaballonashelfinacupboard—inpriloweritsenergybydroppingtoalowershelf,butthisothappeninpralessyougiveitalittlepushsothatitrollsofftheshelf。

Soitearthatquantumphysicssuggeststhatatomsitlight,sinceyouhaveputthemiablestates—that’sit。Well,itturnsoutthat,exceptforthelystateoftheeletheatom,apushisavailabletoallowtheeletodropfreticstatetoalessee。Andthesurprisingthingisthattheshovearisesfromnothing。

InChapter4,Ihestrauresofquantumphysitheemptinessofspaceisaseethingbadofactivity,filledwith‘vacuumflus’。Theseflusiromagicfieldcausetheatomitodroptylevelaheenergydiffereheformofemittedlight。Thisprocess,bywhioledergoesatransitioablestate(theexcitedstate)toanothery(thegrouingaphotonontheontaneousemissioissomethiomdoesonitsown。ItwasinallyproposedbyEinsteioatfortheprybalabeamaeronwhichitwasshining。Ifspontaneousemissiootheatomsholdontyfromthelightbeamaionweseeeverywherearouhiablestateinequilibriumwiththeirsurroundings,wouldbeimpossible。

&eihetralmysteryofspohatitrocess。Youjustotsayexaaom。Allyousayisthate,aftersomeamoudepeis,butisroughly1,000billionthofasealarges,abouttwo-thirdsofthemwillhaveemittedaphoton。Buttheinofthefualrandomnessremaieryuntil,in1927,PaulDiratumfieldtheoryiheideathatquantumvacuumfluswereattherootofthis。Thenotionthatafieldgnophotonsatallextobeuoddswithourintuition,andittookuntilthe1950sforLamb’smeasurementstoshowthatDiraatiht。

Whatthismeansisthateveneverydayoces—thepieratedonaTVsbymeansofLEDs,forexample—haveattheirheartthisfuallyrandomcharacteristigfromquantummeitrast,theemissionoflightbyatomswheogiveuptheireheapplihtfieldiscalledstimulatedemissiohisfenergyfromatomsifielddoesnothaverandomcharadthismakespossibleaverydifferentkindoflight:thatofthelaser。

galltogether

&omsaiclesbehaveindividually,‘doihiheyemitwhentherearemanyofthemisasortofunatedsetofwaves。EvenaverysmallLED,withasizeofmuchlessthanamillimetre,savastoms,sothisisaonsituation。

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