Lens Design II. Lecture 7: Chromatical correction II Herbert Gross. Winter term

Transcription

1 Les Desig II Leture 7: Chromtil orretio II Herert Gross Witer term 08

2 relimiry Shedule Les Desig II Aerrtios d optimiztio Repetitio 4.0. Struturl modiitios Zero operds, les splittig, les dditio, les removl, mteril seletio Aspheres Corretio with spheres, Fores pproh, optiml lotio o spheres, severl spheres Freeorms Freeorm sures, geerl spets, sure desriptio, qulity ssessmet, iitil systems 5.. Field ltteig Astigmtism d ield urvture, thik meisus, plus-mius pirs, ield leses Chromtil orretio I Ahromtiztio, xil versus trsversl, glss seletio rules, urried sures Chromtil orretio II Seodry spetrum, pohromti orretio, plti hromtes, spherohromtism 8.. Speil orretio topis I Symmetry, wide ield systems, stop positio, vigettig Speil orretio topis II Teleetriity, mooetri systems, morphoti leses, Sheimplug systems Higher order errtios High NA systems, roke hromtes, idued errtios 6.0. Further topis Sesitivity, s systems, eyepiees 3.0. Mirror systems speil spets, doule psses, tdioptri systems Zoom systems Mehil ompestio, optil ompestio Dirtive elemets Color orretio, ry equivlet model, strylight, third order errtios, muturig

3 3 Cotets. rtil dispersio. Apohromte 3. Spherohromtism

4 4 Struturig Color Aerrtios Depedee o perture d D-power D expsio logitudil errtio moohrom st order d order 3rd order =D 0 D D D 3 prxil r p 0 s (0) CHL () CHL () CHL (3) perture primry Seidel seodry r p r p 4 Sph 3rd Sph 5th sphchr 3rd () sphchr 5th () sphchr 3rd () sphchr 3rd (3) sphchr 5th () sphchr 5th (3) tertiry r p 6 Sph 7th sphchr 7th () sphchr 7th () sphchr 7th (3)

5 5 Reltive prtil dispersio Reltive prtil dispersio : Chge o dispersio slope with l Dieret urvture o dispersio urve Deiitio o lol slope or seleted wvelegths reltive to seodry olors l l l l F ' C' i - g g - F F - e F - C C - s C - t (l) Speil l-seletios or hrteristi rges o the visile spetrum.49 l = 656 / 04 m r IR l = 656 / 85 m er IR l = 486 / 546 m lue edge o VIS l = 435 / 486 m er UV l = 365 / 435 m r UV.48 i : 365 m UV edge g : 435 m UV edge e : 546 m d : 588 m mi olor F' : 480 m C' : 644 m F : 486 m C : 656 m. seodry olor. seodry olor s : 85 m IR edge t : 04 m IR edge l

6 6 rtil Dispersio d Norml Lie The reltive prtil dispersio hges pproximtely lier with the dispersio or glsses l, l l, l d l, l 0.6 Nerly ll glsses re loted o the orml lie i --digrm gf The slope o the orml lie depeds o the seletio o wvelegths 0.55 Glsses prt rom the orml lie shows omlous prtil dispersio D 0.5 Cs l d D l ll ll ll these mteril re importt or hromtil orretio o higher order

7 7 Aomlous rtil Dispersio Arrows i the glss mp: iditio o the devitio rom the orml lie hf' Vertil ompoet: t the red horizotl: t the lue ed o the spetrum l d D l ll ll ll orml lie Glss D d D hf' rrow o devitio D tc' d glss lotio D hf' lue side red side d

8 8 Aomlous rtil Dispersio Norml glsses: rtil dispersio hges lier with Ae umer Deiitio o depeds o seleted wvelegths Norml lie deied y F d K7 C, t C, s F, e g, F i, g d d d d d Devitio rom lier ehvior: omlous prtil dispersio D l d D l ll ll ll g ' D d The vlue o D depeds o the wvelegth seletio Typil D osidered t the red d the lue ed o the visile spetrum orml lie D g ' rel urve Lrge devitio vlues D re eessry or pohromti hromtil orretio d

9 9 Seodry Spetrum ' Simple hromtiztio / irst order orretio: - two glsses with dieret dispersio - equl itersetio legth or outer wvelegths (lue F', red C') white s' F' s' C' seodry spetrum Residul devitio or middle wvelegth (gree e): seodry spetrum ( ) l, C' D s' SS s' l sc ' ' ( ) l, C' 644 l C' s' e hromte lue red gree Ds 546 e l siglet residul error hromte F' e C' F' 480 D s'

10 0 Seodry Spetrum Represettio o the seody spetrum l-vrit depth o ous must e tke ito out or perorme evlutio 644 l C' 546 e dirtio limit R u F' 480 D s'

11 Fol power oditio Ahromti oditio Seodry spetrum Curvtures o leses rmeter E The 3 mterils re ot llowed to e o the orml lie The trigle o the 3 poits should e lrge: smll give relxed desig 3 F F F F F F F F F F r r 3,, l l E 3,, l l E 3,, l l E E Apohromte

12 Reltive rtil Dispersio reerred glss seletio or pohromtes N-SF N-SF6 N-SF57 N-SF66 -SF68 -SF67 N-FK5A N-K5A N-K5 N-KZFS N-KZFS4 N-LAF33 N-LASF4 N-LAF37 N-LAF N-LAF35 N-LAK0 N-KZFS

13 3 Axil Colour : Apohromte Choie o t lest oe speil glss gf Corretio o seodry spetrum: omlous prtil dispersio 0,6 0,60 N-FS6 () At lest oe glss should devite sigiitly orm the orml glss lie 0,58 0,56 ()+() T N-KZFS (3) 656m 588m 0,54 () 90 N-FK m -0.mm Dz -0.mm 436m 0 mm Dz

14 4 Residul Chromtil Aerrtios Dieret sttes o hromtil orretio Iresig umer o zeros or oiidet olors Redued residul errtios Re : F. Blehiger

15 5 Axil Colour: Ahromte d Apohromte Eet o dieret mterils Axil hromtil errtio hges with wvelegth Dieret levels o orretio:.no orretio: les, oe zero rossig poit.ahromti orretio: - oiidee o outer olors - remiig error or eter wvelegth - two zero rossig poits 3. Apohromti orretio: - oiidee o t lest three olors - smll residul errtios - t lest 3 zero rossig poits - speil hoie o glss types with omlous prtil dispertio eessery l pohromte siglet C' residul error pohromte e residul error hromte hromte F' D s' les

16 6 Geerl Ahromtiztio Cotriutio o thi les to the xil hromtil errtio Axil hromtil errtio o system o thi leses K Ds CHL les CHL F s' ' N ' F Coditio o hromtiztio o system o leses F 0 Speil se o leses lose together F 0 Coditio o pohromti (polyhromti) orretio with the prtil reltive dispersio F 0

17 Dilyt pproh: Ahromtiztio with two leses t iite diste Slig prmeter k: With iite mrgil ry height Fol legth oditio Ahromtiztio Fol legths o the leses Les diste t k ' k 0 y y k k k k k d ) ( Dilyt-Ahromt 7

18 8 Dilyt Ahromt Usge o oly oe glss mteril with hromti orretio: dilyt hromte No rel imgig possile rmeters: Setup k k ( k ) k les k t k les imge ple y y s' t

19 Sigle glss olor orretio Dilyt hromte: Shupm les Speil lyout o dilyte pproh ordig to Shupm Oly oe glss is used Very log system Oly virtul imgig possile Seodry spetrum ompletely due to higher order eets, hee very smll irst les positive seod les positive wvelegth i mm itermedite imge Shupm les hromte virtul imge 0.57 Re: D. Ohse mm 0 Ds 50 mm 9

20 0 Axil Color Corretio with Shupm Les Speil lyout o dilyte pproh ordig to Shupm Mirror gurtees rel imgig = -00 mm mirror = 300 mm rel imge

21 Spherohromtism: Corretio y splitted hromtes Split o emeted sure: redued zol residul errtio possile ) Clssil hromte Lrger diste o ir gp: redued spherohromtism Corretio priiple: Dieret ry heights t seod les d dieret depedeies o ry heights: Fous Spheril errtio ~ ~ 4 ) Splitted hromte zoe smll Dy red lue ) Splitted hromte with lrge ir gp spherohromtism smll Re: D. Ohse

22 Spherohromtism Spherohromtism: vritio o spheril errtio with wvelegth, Altertive ottio: Gussi hromtil error Idividul urve o spheril errtio with olor Covetiol hromte: - oiidig imge lotio or red (C ) d lue (F ) o xis (prxil) - dierees d seodry spetrum or gree (e) - ut dieret itersetio legths or iite perture rys r p Better lig with hl spherohromtism o xis 480 m 644 m perture m 480 m 546 m 644 m Ds' i R U 0 Ds' se 0. mm Ds' 0. mm Ds' hl Ds' tot

23 3 Spherohromtism Corretio o spherohromtism or dieret xil olor orretios ) o orretio ) hromte ) pohromte r p ) ot orreted ) hromte ) pohromte r p r p spherohromtism ot orreted r p Dz r p Dz r p Dz spherohromtism orreted Re.: A. Miks Dz Dz Dz

24 4 Splitted Ahromtes Split o emeted sure: redued zol residul errtio possile ) Clssil hromte Lrger diste o ir gp: redued spherohromtism ) Splitted hromte zoe smll ) Splitted hromte with lrge ir gp spherohromtism smll

25 5 Two-Les Apohromte Speil glsses with orml reltive prtil dispersio High rertive powers i the two ompoets result i lrge spheril zol errtio 656m 588m 486m -mm Dz 436m 5m 0 Dz Re.:H. Zuegge

26 Wvelegth [m] Seodry spetrum d Super Ahromtes dc' 0,58 0,56 0,54 0,5 0,50 0,48 0,46 0,44 0,4 0,40 0,38 TIF6 KZFSN4 N-FK5A N-KZFS N-K5 0,36 0,465 0,470 0,475 0,480 0,485 0,490 0,495 ec' -* plot with some glsses tht llow or pohromti orretio The three glsses N-FK5A, KZFSN4 d TIF6 lie o ommo lie i dc vs. ec plot d llow orretio o tertiry spetrum ec' 0,500 0,495 0,490 0,485 0,480 0,475 0,470 0,465 0, N-FK5A N-K e N-FK5A KZFSN4 TIF6 N-KZFS KZFSN4 orml lie ,0 -,5 -,0-0,5 0,0 0,5,0,5,0,5 Fol shit [µm] TIF6 30 N-K5 N-KZFS TIF6 0 Re: D. Ohse 6