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Chapter 2 Light rays(第1页)

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Chapter2Lightrays

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Takingaselfierequiresthatthephonecameraispoiowardsyou.It’sobviousthatthisisnecessaryifyouaretobeiure.Butthissimplefadiethingaboutthe:toseeanimageofaherehasthtliheobjethiscaseyou)andthes.Thisisusuallycalledthe‘li’.Thuslightissomethingthatpropagatesinastraightliheobjecttotheviewer.Ihisiswhatwemightexpeeoftypesoflightsource.Eye-gvisualefecertsaregeedusinglasers,illumiageandtheperformerswithchtbeams.Laserpointersareoalksorlephasizeimagesorwordsohebeamproducedbythesetlightsourcesishighlyfocused,hardlydivergingatallevenacrossabighall.Itgoesinastraightline-youpoihedirewhereyouwaogo,anditdoesso.

Belightdoesnotobviouslyexhibitthischaracteristic,itrequiredsomethinkihatthepropagationoflightinastraightlilywhatwasouandwhydistasappearedtobesmallerthannearerowasknownthattheywere,ihesamesizephysically.

5.Eustruofraysshowingwhyobjeesizelooksmallerwhehera>

&thattheceptht-liiohisefectisattributedtoEuclid,wreearound300bce.Hisidea,fromobooksonoptics,isillustratedinFigure5.Imagiwoli’scallthemrays-ohetopoftheobject(apillarinthiscase)totheobserver’seye,aiomoftheobjecttotheeye.Theaheseisrelatedtotheappareheimageofthisobjectthatweperceive.Amoredistantpillar,thesamephysicalsizeasthefirst,producestworayswhoseaerseattheobserverissmaller-hehepillarappearssmaller.Thisisetheimage.

Whatisthestufthattraversestherays?Euclid(buildingonearlierideas)thoughtthatitartitoutfromtheeyeitself(fromanimaginaryinterillumiaedbacktotheobserver.Butthissuggeststhatwewouldbeabletoseethiitwasdarkoutside.heideaofstufmovingaloweeandobserverremainedapowerfulcept.

ItwasmodifiedbyAl-HazehthatweisareilluminatedbyraysfromtheSuernalfire)aeredtowardstheobserver.Thereareseveralstoriesabouthowhecametothisidea-ingdoiwhelyattheSuermihepaiionheexperiencedwouldbethereallthetimeifthe‘internalfire’wereburnihus,heargued,thesourceofthelightogeheimagewasexternal.

&us,forthesakeumewhatmovesalongtheseraysareparticlesoflight:callthemphotohebeamisrelatedtothetherayinoneseordertouandhowanimageofaisformed,we’llosiderenswhehesephotoedofamirroredsurface,aswellasehiswillleadtothe‘lawsofoptics’thatareusedfningveryplexoptistrumentssuchassurgicalmicrosdcathetersfor‘keyhery,asticaltelescopesplaorbitabovetheEarthfdistaheimpactoftheseisonourlifeandoftheworldisimmense.

Whatsortofpropertiesdotheseparticlesoflightpossess?Theusualsortsofattributesassigoaparticleareitsposition,itsdireoftravel,anditsspeed.Fornow,assumethatitmovesatthe‘speedoflight’,withoutgoiailaboutwhatthatactuallyis.Thepositionofaphotonmightthehestartingpositionofthe‘ray’aioon’smotiohedireoftheray.Thephotonheadsoffromitsstartingpointinthisdireatthespeedoflightuersthesurfaceoftheobject.

&ion

&stheobject,thelightisreflected.ensisthatthephotohesurfagingitsdire,butnotitspositiononthesurface.Thesituationisshownihemannerinwhichthedireisgedisspecifiedbythe‘lawofrefle’,discoveredbyHeroofAlexandriaiury.Itstatesthattheangleofiis,theaheiningraydiredthedireperpendiculartothesurfaceatthepointofince)isequaltotheaion(thatis,theaheoutgoingraydiredthedireperpendiculartothesurfaceatthepointofiherearescesofthisceptuallysimplearemelypo>

6.Raysofa.aflatmirrorandb.andc.acurvedmirror.

ThisbeexplaiirelybyHero’slawofrefle.Figure7showsheesareflewithoppositehaheclockwise-pointingarrowistheobject.Raysfromeatonthearrowrefleirrorandarerearrathearrowseeninthemirrorispointinganticlockwise.Youusethesamestrutoshoointingarrowisseeninthemirrht-pointingarrowaanup-pointingarroointingup,andadown-pointingarrowpointsdowion.

Imagingusiio

If,insteadoflookingatyouropposite-handedselfinaflatbathroommirror,youseeyourrefleapolishedspoon,theortedforme:maguresrounds.Thetsurfaceofthespooheobjedthevexbacksurfaifiesit.

7.Thegeofhandednessofobjectsrefleamirror.

Whyisthis?Siionofimagesisperhapsthemostimportantappliofoptistruments-rangingfromtasesforvisioospacetelescopesforstificdiscovery-it’swexactlyho>

Uptonow,I‘vesideredonlyasinglerayoflightfromoo.Infact,raysusuallysalldireeachobjet.sidera‘bundle’ofsuchraysallasio,fadtheinalray.Thiseofraysdivergesasitmovesawayfromtheobject,asshowniherayshitthecurvedmirrorsurfaceatdiferentpointsandthereforealslesofiheyrefledifereions,eaestillsatisfyingHero’slawofrefle.

8.Imageformationbyaraybundleusingacurvedmirror.Theraysfromooatointheimage.

Infaagdeventuallyallmeetatasihisisthe‘image’pointi.

Animageaswenormallysideritismadeupofmultiplesuchimagepfromdiferes.Thesizeoftheimageisdetermiafromthemirrorandthefogpowerofthemirror,specifiedbytheradiusofcurvature.amoreirrorhasasmallerradiusofsurfacecurvature).Theimagebebiggerthaheobjectisirrorthaheratioofimagetoobjectsizeiscalledthemagnifi.

Theimage-magureofacurvedmirrorwasusedbyodesignatelescope,showninFigure9.Hisdesignhasaremarkableproperty:itfesofdistaarethesamesizeforeverycolour(saidtobefreefrom‘aticaberratiooncleverlyusedthepropertythattheangleofareflectedrayforafixedaheirayisthesamehecolourofthelight.Theimageofeachcolouristhereforeformedinthesameplace-allthecisterperfectly,guaranteedbyphysics.

&telesabledimageswithoutaticaberration.

&ion

&ohisibecausethetelescopesusedbyporarypioneerssuchasGalileoGalileiandJohannesKeplersuferedseriouslyfromaticaberration.Theimagesformedbytheirtelescopesalwayshadablurredcolouredhaloarouheobject.Thereasonforthisisthattheyweredesignedusiprhtrays-refra:thephelightraysbeheygofromoramediumtoanother.

Itistherefraoflightthatproducesthe‘kink’observediiallyimmersedinabowlofwater.ThisisdescribedbythelawofrefraonlyknownasSnell’slaw,afterDutWillebrordSh-turypropohislawsaysthattheaingraymakeserpendiculartothesurfaceisrelatedtotheaheiningraybythepropertiesofthetwomediathatformtheinterfaplethesurfaceofthewater.Thisisillustratediheparticularpropertyofthemediathatisrelevahe‘refradex’.Therefradexbethoughtofasbeingameasureoftheoptiess’ofthemediumasexperiencedbyalightray.Solighttravelsmoreslowlyihalargerrefradexbecausethemoleediumareslightlymoreresistanttohaviomsarohelight.Itislikerunninginapoolofwater.Ifthedepthisverysmall,ysmoveeasilyandyoufast.Ifthetoyourk’sharder,becauseyouhavetaiaer.Infact,thelawofrefrabederivedfromthisanalogy.PierredeFermatshowedthatwhenlightgoesfromapoioapointinaseeksaraythattraversesashortertimeihhighrefradexaimeihalowerrefradex.Thisrequiresthelightraytobendatthisiweewomedia,a’spriurnsouttobeehesameasSnell’slaw.

10.Refraofarayattheiweenairand>

Imagingusinglenses

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