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

Transcription

1 Les Desig II Leture 7: Chromtil orretio II Herbert Gross Witer term 05

2 relimiry Shedule 0.0. Aberrtios d optimiztio Repetitio 7.0. Struturl modifitios Zero operds, les splittig, les dditio, les removl, mteril seletio Aspheres Corretio with spheres, orbes pproh, optiml lotio of spheres, severl spheres reeforms reeform surfes ield fltteig Astigmtism d field urvture, thik meisus, plus-mius pirs, field leses Chromtil orretio I Ahromtiztio, xil versus trsversl, glss seletio rules, burried surfes Chromtil orretio II seodry spetrum, pohromti orretio, spherohromtism Speil orretio topis I Symmetry, wide field systems,stop positio Speil orretio topis II Amorphoti leses, teleetriity Higher order berrtios high NA systems, broke hromtes, idued berrtios.0. urther topis Sesitivity, s systems, eyepiees 9.0. Mirror systems speil spets, double psses, tdioptri systems Zoom systems mehil ompestio, optil ompestio Diffrtive elemets olor orretio, ry equivlet model, strylight, third order berrtios, mufturig Reliztio spets Tolerig, dustmet

3 3 Cotets. rtil dispersio. Apohromte 3. Spherohromtism

4 4 Reltive prtil dispersio Reltive prtil dispersio : Chge of dispersio slope with l Differet urvture of dispersio urve Defiitio of lol slope for seleted wvelegths reltive to seodry olors l l l l ' C' i - g g - - e - C C - s C - t (l) Speil l-seletios for hrteristi rges of the visible spetrum.49 l = 656 / 04 m fr IR l = 656 / 85 m er IR l = 486 / 546 m blue edge of VIS l = 435 / 486 m er UV l = 365 / 435 m fr 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 for glsses l b, l l, l d l, l 0.6 Nerly ll glsses re loted o the orml lie i --digrm g The slope of the orml lie depeds o the seletio of wvelegths 0.55 Glsses prt from the orml lie shows omlous prtil dispersio D 0.5 Cs l d b D l ll ll ll these mteril re importt for hromtil orretio of higher order

6 6 Aomlous rtil Dispersio Arrows i the glss mp: iditio of the devitio from the orml lie h' Vertil ompoet: t the red horizotl: t the blue ed of the spetrum l d b D l ll ll ll orml lie Glss D d D h' rrow of devitio D tc' d glss lotio D h' blue side red side d

7 7 Aomlous rtil Dispersio Norml glsses: rtil dispersio hges lier with Abbe umber Defiitio of depeds o seleted wvelegths Norml lie defied by d K7 C, t C, s, e g, i, g d d d d d Devitio from lier behvior: omlous prtil dispersio D l d b D l ll ll ll g ' D d The vlue of D depeds o the wvelegth seletio Typil D osidered t the red d the blue ed of the visible spetrum orml lie D g ' rel urve Lrge devitio vlues D re eessry for pohromti hromtil orretio d

8 8 Reltive rtil Dispersio referred glss seletio for 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 Aberrtios Differet sttes of hromtil orretio Iresig umber of zeros or oiidet olors Redued residul berrtios Ref :. Blehiger

10 0 Axil Colour: Ahromte d Apohromte Effet of differet mterils Axil hromtil berrtio hges with wvelegth Differet levels of orretio:.no orretio: les, oe zero rossig poit.ahromti orretio: - oiidee of outer olors - remiig error for eter wvelegth - two zero rossig poits 3. Apohromti orretio: - oiidee of t lest three olors - smll residul berrtios - t lest 3 zero rossig poits - speil hoie of glss types with omlous prtil dispertio eessery l pohromte siglet C' residul error pohromte e residul error hromte hromte ' D s' les

11 Axil Colour : Apohromte Choie of t lest oe speil glss g Corretio of seodry spetrum: omlous prtil dispersio 0,6 0,60 N-S6 () At lest oe glss should devite sigifitly form 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

12 ol power oditio Ahromti oditio Seodry spetrum Curvtures of leses rmeter E The 3 mterils re ot llowed to be o the orml lie The trigle of the 3 poits should be lrge: smll give relxed desig r r 3,, l l b E f 3,, l l b b b E f 3,, l l b E f b b b E Apohromte

13 3 Splitted Ahromtes Split of emeted surfe: redued zol residul berrtio possible ) Clssil hromte Lrger diste of ir gp: redued spherohromtism b) Splitted hromte zoe smll ) Splitted hromte with lrge ir gp spherohromtism smll

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

15 5 Two-Les Apohromte Speil glsses with orml reltive prtil dispersio High refrtive powers i the two ompoets result i lrge spheril zol berrtio 656m 588m 486m -mm Dz 436m 5m 0 Dz Ref.:H. Zuegge

16 6 Spherohromtism: Ahromte Residul spherohromtism of hromte Represettio s futio of peture or wvelegth r p logitudil berrtio 656 l defous vritio pupil height : 587 r p = r p = r p = 0.4 r p = m 587 m m Dz D z

17 7 Spherohromtism Spherohromtism: vritio of spheril berrtio with wvelegth, Altertive ottio: Gussi hromtil error Idividul urve of spheril berrtio with olor Covetiol hromte: - oiidig imge lotio for red (C ) d blue ( ) o xis (prxil) - differees d seodry spetrum for gree (e) - but differet itersetio legths for fiite perture rys r p Better blig with hlf 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

18 8 Spherohromtism Spheril berrtio of les i 3rd order: Wvelegth depedee of idues spherohromtism A s 3 X f 3 3 ( ) M M Typil spetrl vritio of this berrtio with wvelegth Dz + ) sigle les Dz +.5 b) orreted