Convex lens imaging principle

Imagingfeatures

Firstputtheobjectfarawayfromthelens,checkthepositionandsizeoftheimage,thenmovetheobjecttotheconvexlens,andthencheckthesizeandpositionoftheimageVariety.Itcanbeseenfromtheexperiment:

(1)Whentheobjectisveryfaraway,theimageisbornonthefocus,andtheimageisverysmall.

(2)Whentheobjectmovestothefrontoftheconvexlens,theimagemovesfromthefocalpointtotheoutsideoftheconvexlens,theimagebecomeslargerandupsidedown.

(3)Whentheobjectisnotfarawayfromthefocus,theimageisveryfaraway,andtheimageisverylarge.

(4)Theobjectisinthefocus,andnoimageisfound,soitisnotimaged.

(5)Theobjectcannotbeimagedinthefocalpoint,buttheeyecanseeamagnifieduprightvirtualimagethroughthelens.

Theimagingprincipleofamagnifyingglass

Anopticallensmadeofglassorothertransparentmaterialswithacurvedsurfacecanmagnifyandimageanobject.TheopticalpathdiagramisshowninFigure1.TheobjectABlocatedwithinthefocusFoftheobjectsidehasasizeofy,anditismagnifiedintoavirtualimageA'B'ofsizey'.ThemagnificationofthemagnifyingglassΓ=250/f'where250--thedistanceoftheclearvision,inmmf'--thefocallengthofthemagnifyingglass,inmmThemagnificationreferstotheimageoftheobjectobservedbythemagnifyingglasswithinadistanceof250mmTheratiooftheviewingangletotheviewingangleofanobjectobservedwithoutamagnifyingglass.1.Drawastraightruler2.DrawapointOontheruler,whichistheopticalcenter,anddrawaconvexlensattheOpoint.Marktheone-timefocallengthpointfandthetwo-timefocallengthpoint2fonbothsidesoftheconvexlens.

3.Partitionisdividedintothreeareasontheleftandrightsidesoftheconvexlens.O──fisthefirstarea,f──2fisthesecondarea,andoutside2fisthethirdarea.

4.Law:

Whentheobjectisatinfinity,focusonthepoint.

Thingsthree(area)areliketwo(area)smallrealinverted

Thingstwo(area)likethree(area)areinvertedbigreal

Area)Onthesamesideoftheimage,thepositiveandlargevirtualimage

The2Fpointisthedividingpointoftheenlargedandreducedimage

TheFpointisthedividingpointofthevirtualimageoftherealimage.

Weusearulerwhenapplyingandremembering:

Theimagingprincipleofamicroscope

Microscopeandmagnifyingglassplaythesamerole,thatis,toremovesmallobjectsnearbyIntoamagnifiedimageforhumaneyestoobserve.It'sjustthatamicroscopecanhaveahighermagnificationthanamagnifyingglass.Schematicdiagramofanobjectbeingimagedbyamicroscope.Fortheconvenienceofcalculation,boththeobjectivelensL1andtheeyepieceL2arerepresentedbyasinglelens.TheobjectABislocatedinfrontoftheobjectivelens,andthedistancefromtheobjectivelensisgreaterthanthefocallengthoftheobjectivelens,butlessthantwicethefocallengthoftheobjectivelens.Therefore,afteritpassesthroughtheobjectivelens,itwillinevitablyformaninvertedenlargedrealimageA'B'.A'B'islocatedontheobjectivefocalpointF2oftheeyepiece,orveryclosetoF2.ThenitismagnifiedbytheeyepieceintoavirtualimageA''B''foreyeobservation.ThepositionofthevirtualimageA''B''dependsonthedistancebetweenF2andA'B'.Itcanbeatinfinity(whenA'B'isonF2)orattheobserver'sphotopicdistance(WhenA'B'istotherightoffocusF2inthefigure).Theeyepiecehasthesamefunctionasamagnifyingglass.Thedifferenceisthatwhattheeyeseesthroughtheeyepieceisnottheobjectitself,buttheimageoftheobjectthathasbeenmagnifiedoncebytheobjectivelens.

Importantopticaltechnicalparameters

Duringmicroscopicexamination,peoplealwayshopetohaveaclearandbrightidealimage,whichrequirestheopticaltechnicalparametersofthemicroscopetoreachcertainstandardsAnditisrequiredthatwheninuse,therelationshipbetweenthevariousparametersmustbecoordinatedaccordingtothepurposeofthemicroscopyandtheactualsituation.Onlyinthiswaycanwegivefullplaytotheproperperformanceofthemicroscopeandobtainsatisfactorymicroscopicexaminationresults.Theopticaltechnicalparametersofthemicroscopeinclude:numericalaperture,resolution,magnification,depthoffocus,fieldofviewwidth,coveragedifference,workingdistance,andsoon.Theseparametersarenotallashighaspossible.Theyareinterrelatedandrestricteachother.Inuse,therelationshipbetweentheparametersshouldbecoordinatedaccordingtothepurposeofmicroscopyandtheactualsituation,buttheresolutionshouldbeguaranteed..

1.NumericalApertureNumericalapertureisabbreviatedNA.Numericalapertureisthemaintechnicalparameterofobjectivelensandcondenserlens,anditisanimportantindicatorofjudgingtheperformanceofboth(especiallyforobjectivelens).Thenumericalvalueismarkedontheshelloftheobjectivelensandcondenserlensrespectively.Thenumericalaperture(NA)istheproductoftherefractiveindex(n)ofthemediumbetweenthefrontlensoftheobjectivelensandtheinspectedobjectandthehalfsineoftheapertureangle(u).Theformulaisasfollows:NA=nsinu/2Theapertureangleisalsocalled"lensangle",whichistheangleformedbytheobjectpointontheopticalaxisoftheobjectivelensandtheeffectivediameterofthefrontlensoftheobjectivelens.Thelargertheapertureangle,thebrighterthelightenteringtheobjectivelens,whichisproportionaltotheeffectivediameteroftheobjectivelensandinverselyproportionaltothedistanceofthefocalpoint.Duringmicroscopeobservation,ifyouwanttoincreasetheNAvalue,theapertureanglecannotbeincreased.Theonlywayistoincreasetherefractiveindexnofthemedium.Basedonthisprinciple,awaterimmersionobjectivelensandanoilimmersionobjectivelensareproduced.Becausetherefractiveindexnofthemediumisgreaterthan1,theNAvaluecanbegreaterthan1.Themaximumnumericalapertureis1.4,whichhasreachedthelimittheoreticallyandtechnically.Therefractiveindexofbromonaphthaleneis1.66,sotheNAvaluecanbegreaterthan1.4.Itmustbepointedoutherethatinordertogivefullplaytotheroleoftheobjectivelensnumericalaperture,theNAvalueofthecondenserlensshouldbeequaltoorslightlygreaterthantheNAvalueoftheobjectivelensduringobservation.Numericalaperturehasacloserelationshipwithothertechnicalparameters,italmostdeterminesandaffectsothertechnicalparameters.Itisproportionaltotheresolution,proportionaltothemagnification,andinverselyproportionaltothedepthoffocus.AstheNAvalueincreases,thewidthofthefieldofviewandtheworkingdistancewilldecreaseaccordingly.

2.ResolutionTheresolutionofamicroscopereferstotheminimumdistancebetweentwoobjectpointsthatcanbeclearlydistinguishedbythemicroscope,alsoknownasthe"discriminationrate".Thecalculationformulaisσ=λ/NAwhereσistheminimumresolutiondistance;λisthewavelengthoflight;NAisthenumericalapertureoftheobjectivelens.Itcanbeseenthattheresolutionoftheobjectivelensisdeterminedbytwofactors,theNAvalueoftheobjectivelensandthewavelengthoftheilluminatinglightsource.ThelargertheNAvalue,theshorterthewavelengthoftheilluminatinglight,andthesmallertheσvalue,thehighertheresolution.Toimprovetheresolution,thatis,reducethevalueofσ,thefollowingmeasurescanbetaken(1)Reducethevalueofwavelengthλanduseashort-wavelengthlightsource.(2)IncreasethevalueofmediumntoincreasethevalueofNA(NA=nsinu/2).(3)IncreasetheapertureangleuvaluetoincreasetheNAvalue.(4)Increasethecontrastbetweenlightanddark.

3.MagnificationandeffectivemagnificationDuetothetwomagnificationsoftheobjectivelensandtheeyepiece,theoverallmicroscopeThemagnificationΓshouldbetheproductoftheobjectivelensmagnificationβandtheeyepiecemagnificationΓ1:Γ=βΓ1Obviously,comparedwithamagnifyingglass,amicroscopecanhaveamuchhighermagnification,anditcanbeconvenienttoexchangeobjectivesandeyepieceswithdifferentmagnificationsChangethemagnificationofthemicroscope.Themagnificationisalsoanimportantparameterofthemicroscope,butyoushouldnotblindlybelievethatthehigherthemagnification,thebetter.Thelimitofmicroscopemagnificationistheeffectivemagnification.Resolutionandmagnificationaretwodifferentbutrelatedconcepts.Thereisarelationship:500NAnumericalapertureisnotlargeenough,thatis,whentheresolutionisnothighenough,themicroscopecannotdistinguishthefinestructureoftheobject.Atthistime,evenifthemagnificationisincreasedexcessively,theresultcanonlybealargeoutlinebutuncleardetailsTheimageiscalledinvalidmagnification.Conversely,iftheresolutionhasmettherequirementsandthemagnificationisinsufficient,themicroscopehastheabilitytodistinguish,buttheimageistoosmalltobeclearlyseenbythehumaneye.Therefore,inordertogivefullplaytotheresolvingpowerofthemicroscope,thenumericalapertureshouldbereasonablymatchedwiththetotalmagnificationofthemicroscope.

4.DepthoffocusDepthoffocusistheabbreviationofdepthoffocus,thatis,whenusingamicroscope,whenthefocusisonacertainobject,notonlyisitlocatedontheplaneofthepointEverypointcanbeseenclearly,andwithinacertainthicknessaboveandbelowtheplane,itcanalsobeseenclearly.Thethicknessofthisclearpartisthedepthoffocus.Ifthefocaldepthislarge,youcanseethewholelayeroftheobjecttobeinspected,whileifthefocaldepthissmall,youcanonlyseeathinlayeroftheobjecttobeinspected.Thefocaldepthhasthefollowingrelationshipwithothertechnicalparameters:

(1)Thedepthoffocusisinverselyproportionaltothetotalmagnificationandthenumericalapertureoftheobjectivelens.

(2)Thedepthoffocusislargeandtheresolutionisreduced.Duetothelargedepthoffieldofthelow-magnificationobjectivelens,itcausesdifficultieswhentakingpictureswiththelow-magnificationobjectivelens.Itwillbeintroducedindetailinthephotomicrograph.

5.FieldofView(FieldOfView)Whenobservingamicroscope,thebrightcircularareaseeniscalledthefieldofview.Itssizeisdeterminedbytheviewintheeyepiece.Determinedbythefielddiaphragm.Thefieldofviewdiameterisalsocalledthefieldofviewwidth,whichreferstotheactualrangeoftheobjecttobeinspectedinthecircularfieldofviewseenunderthemicroscope.Thelargerthediameterofthefieldofview,theeasieritistoobserve.ThereisaformulaF=FN/βwhereF:fieldofviewdiameter,FN:fieldnumber(FieldNumber,abbreviatedasFN,markedontheoutsideoftheeyepiecelensbarrel),β:objectivelensmagnification.Itcanbeseenfromtheformula:

(1)Thediameterofthefieldofviewisdirectlyproportionaltothenumberoffieldsofview.

(2)Increasethemultipleoftheobjectivelens,thediameterofthefieldofviewwilldecrease.Therefore,ifyoucanseethewholepictureoftheobjectunderinspectionwithalowmagnificationlens,youcanonlyseeasmallpartoftheobjectunderinspectionwithahighmagnificationobjectivelens.

6.PoorcoverageTheopticalsystemofthemicroscopealsoincludesthecoverglass.Becausethethicknessofthecoverglassisnotstandard,thelightpathafterthelightenterstheairfromthecoverglassischanged,resultinginaphasedifference,whichisthecoveragedifference.Poorcoverageaffectsthesoundqualityofthemicroscope.Internationally,thestandardthicknessofthecoverglassis0.17mm,andthepermittedrangeis0.16-0.18mm.Thedifferenceinthisthicknessrangehasbeencalculatedinthemanufactureoftheobjectivelens.The0.17ontheobjectivelensshellindicatesthethicknessofthecoverglassrequiredbytheobjectivelens.

7.WorkingdistanceWDworkingdistanceisalsocalledobjectdistance

Itreferstothedistancebetweenthesurfaceofthefrontlensoftheobjectivelensandtheobjecttobeinspected.

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