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

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1 Les Desig II Leture 7: Chromtil orretio II Herert Gross Witer term 06

2 relimiry Shedule 9.0. Aerrtios d optimiztio Repetitio 6.0. Struturl modiitios Zero operds, les splittig, les dditio, les removl, mteril seletio Aspheres Corretio with spheres, ores pproh, optiml lotio o spheres, severl spheres reeorms reeorm sures ield 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, spherohromtism Speil orretio topis I Symmetry, wide ield systems,stop positio Speil orretio topis II Amorphoti leses, teleetriity 0.. Higher order errtios high NA systems, roke hromtes, idued errtios urther topis Sesitivity, s systems, eyepiees.0. Mirror systems speil spets, doule psses, tdioptri systems Zoom systems mehil ompestio, optil ompestio Dirtive elemets olor orretio, ry equivlet model, strylight, third order errtios, muturig Reliztio spets Tolerig, dustmet

3 3 Cotets. rtil dispersio. Apohromte 3. Spherohromtism

4 4 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 ' C' i - g g - - e - 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 ' : 480 m C' : 644 m : 486 m C : 656 m. seodry olor. seodry olor s : 85 m IR edge t : 04 m IR edge l

5 5 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 g 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

6 6 Aomlous rtil Dispersio Arrows i the glss mp: iditio o the devitio rom the orml lie h' 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 h' rrow o devitio D tc' d glss lotio D h' lue side red side d

7 7 Aomlous rtil Dispersio Norml glsses: rtil dispersio hges lier with Ae umer Deiitio o depeds o seleted wvelegths Norml lie deied y d K7 C, t C, s, e g, 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

8 8 Reltive rtil Dispersio reerred glss seletio or pohromtes N-S N-S6 N-S57 N-S66 -S68 -S67 N-K5A N-K5A N-K5 N-KZS N-KZS4 N-LA33 N-LAS4 N-LA37 N-LA N-LA35 N-LAK0 N-KZS

9 9 Residul Chromtil Aerrtios Dieret sttes o hromtil orretio Iresig umer o zeros or oiidet olors Redued residul errtios Re :. Blehiger

ahromti orretio: - oiidee o outer olors - remiig error or eter wvelegth - two zero rossig poits 3.

10 0 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 ' D s' les

11 ol 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 r r 3,, l l E 3,, l l E 3,, l l E E Apohromte

12 Axil Colour : Apohromte Choie o t lest oe speil glss g Corretio o seodry spetrum: omlous prtil dispersio 0,6 0,60 N-S6 () At lest oe glss should devite sigiitly orm the orml glss lie 0,58 0,56 ()+() T N-KZS (3) 656m 588m 0,54 () 90 N-K m -0.mm Dz -0.mm 436m 0 mm Dz

13 3 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

14 4 Geerl Ahromtiztio Cotriutio o thi les to the xil hromtil errtio Axil hromtil errtio o system o thi leses K Ds CHL les CHL s' ' N ' Coditio o hromtiztio o system o leses 0 Speil se o leses lose together 0 Coditio o pohromti (polyhromti) orretio with the prtil reltive dispersio 0

15 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

16 Dilyt pproh: Ahromtiztio with two leses t iite diste Slig prmeter k: With iite mrgil ry height ol legth oditio Ahromtiztio ol legths o the leses Les diste t k ' k 0 y y k k k k k d ) ( Dilyt-Ahromt 6

17 7 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

18 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 8

19 9 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

20 0 Spherohromtism: Ahromte Residul spherohromtism o hromte Represettio s utio o peture or wvelegth r p logitudil errtio 656 l deous vritio pupil height : 587 r p = r p = r p = 0.4 r p = m 587 m m Dz D z

21 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 ( ) 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

) M M Typil spetrl vritio o this errtio with wvelegth

22 Spherohromtism Spheril errtio o les i 3rd order: Wvelegth depedee o idues spherohromtism A s 3 X 3 3 ( ) M M Typil spetrl vritio o this errtio with wvelegth Dz + ) sigle les Dz +.5 ) orreted

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

Lens Design II. Lecture 7: Chromatical correction II Herbert Gross. Winter term Les Desig II Leture 7: Chromtil orretio II 05--0 Herbert Gross Witer term 05 www.ip.ui-e.de relimiry Shedule 0.0. Aberrtios d optimiztio Repetitio 7.0. Struturl modifitios Zero operds, les splittig, les