Superachromatic air-spaced triplet

Antonin Miks; Jiri Novak

doi:10.1364/AO.53.006930

Applied Optics
Vol. 53,
Issue 29,
pp. 6930-6937
(2014)
•https://doi.org/10.1364/AO.53.006930

Superachromatic air-spaced triplet

Antonin Miks and Jiri Novak

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Antonin Miks and Jiri Novak, "Superachromatic air-spaced triplet," Appl. Opt. 53, 6930-6937 (2014)

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Abstract

A theoretical analysis of properties of superachromatic air-spaced triplets composed of thin lenses is described in this paper. An interesting result is shown in that the superachromatic air-spaced triplet cannot simultaneously correct field curvature and transverse and longitudinal chromatic aberration. The formulas for the calculation of parameters of an air-spaced triplet are derived and the procedure for the calculation of the shape of individual lenses of the triplet is described using the third-order aberration theory. The application of the described analysis is presented in an example of the design of a superachromatic triplet.

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$f^{'} = 250$ , $s_{F}^{'} = 236.121$ , $y^{'} = 24.513$ , $Strehl = 0.82$
$r$	$d$	$\emptyset$	Material
137.959	10.0	52	${CaF}_{2}$
$- 94.127$	1.0	52
$- 97.649$	5.0	52	N-LAF33
$- 194.851$	1.0	52
255.453	6.0	52	SF10
273.325		52

$X_{1} = - 0.0954$ , $X_{2} = 1.4294$ , $X_{3} = - 3.1619$
$φ$	$φ_{1}$	$φ_{2}$	$φ_{3}$	$e_{1}$	$e_{2}$
1.0000	2.4778	$- 2.2357$	0.6659	0.0404	0.2096
$r_{1}$	$r_{1}^{'}$	$r_{2}$	$r_{2}^{'}$	$r_{3}$	$r_{3}^{'}$
0.3872	$- 0.3197$	$- 0.2894$	$- 1.6372$	$- 1.0118$	$- 0.5256$
$h_{1}$	$h_{2}$	$h_{3}$	${\bar{h}}_{1}$	${\bar{h}}_{2}$	${\bar{h}}_{3}$
1.0000	0.9000	0.8024	$- 3.0000$	$- 2.6596$	$- 2.1382$

$f^{'} = 250$ , $s_{F}^{'} = 178.208$ , $y^{'} = 24.513$ , $Strehl = 0.82$
$r$	$d$	$\emptyset$	Material
97.327	17.5	70	${CaF}_{2}$
$- 116.68$	5.0	70
$- 110.98$	7.5	70	N-LAF33
$- 383.30$	50.0	70
$- 910.24$	10.0	70	SF10
$- 440.72$		70

Glass 1	Glass 2	Glass 3	$φ_{1}$	$φ_{2}$	$φ_{3}$
F2HT	N-LAK33A	N-FK58	$+ 0.3920$	$- 2.1487$	$+ 2.7567$
F5	N-LAK33A	N-FK58	$+ 0.4510$	$- 2.2015$	$+ 2.7506$
LF5	N-LAK33A	N-FK58	$+ 0.5624$	$- 2.2855$	$+ 2.7232$
LF1	N-LAK33A	N-FK58	$+ 0.9026$	$- 2.5584$	$+ 2.6559$
N-BAF4	N-LAK10	N-FK58	$+ 0.9638$	$- 2.5642$	$+ 2.6004$
N-BAF4	N-LAK34	N-FK58	$+ 0.4410$	$- 2.2098$	$+ 2.7688$
N-BAF4	N-SF11	N-FK58	$- 2.7201$	$+ 0.7620$	$+ 2.9581$
N-BAF4	N-SF57	N-FK58	$- 2.5164$	$+ 0.6078$	$+ 2.9086$
N-BAF52	N-LAK10	N-FK58	$+ 1.3238$	$- 2.8389$	$+ 2.5151$
N-BAF52	N-LAK34	N-FK58	$+ 0.5725$	$- 2.3122$	$+ 2.7397$
N-BASF2	N-KZFS11	N-FK58	$+ 0.7663$	$- 1.8967$	$+ 2.1304$
N-BASF64	N-LAK33A	N-FK58	$+ 0.5058$	$- 2.2483$	$+ 2.7425$
N-F2	N-LAK34	N-FK58	$+ 0.2463$	$- 2.0486$	$+ 2.8023$
N-KZFS11	N-LAF7	N-FK58	$- 1.9246$	$+ 0.7454$	$+ 2.1792$
N-KZFS11	N-LASF46A	N-FK58	$- 1.8345$	$+ 0.5769$	$+ 2.2576$
N-KZFS11	SF10	N-FK58	$- 1.6709$	$+ 0.4139$	$+ 2.2571$
N-KZFS11	SF57	N-FK58	$- 1.5606$	$+ 0.2786$	$+ 2.2820$
N-KZFS4	N-SF1	N-FK58	$- 1.7935$	$+ 0.4208$	$+ 2.3727$
N-KZFS4	N-SF10	N-FK58	$- 1.7567$	$+ 0.3807$	$+ 2.3760$
N-KZFS4	N-SF14	N-FK58	$- 1.6968$	$+ 0.3173$	$+ 2.3796$
N-KZFS4	N-SF4	N-FK58	$- 1.7260$	$+ 0.3449$	$+ 2.3812$
N-KZFS4	N-SF5	N-FK58	$- 1.8525$	$+ 0.5126$	$+ 2.3399$
N-KZFS4	N-SF6	N-FK58	$- 1.6631$	$+ 0.2842$	$+ 2.3788$
N-KZFS4	N-SF8	N-FK58	$- 1.8404$	$+ 0.4831$	$+ 2.3573$
N-KZFS4	P-SF69	N-FK58	$- 1.7727$	$+ 0.4024$	$+ 2.3703$
N-KZFS4	P-SF8	N-FK58	$- 1.8621$	$+ 0.4935$	$+ 2.3685$
N-KZFS4	SF11	N-FK58	$- 1.6727$	$+ 0.2943$	$+ 2.3783$
N-KZFS5	SF56A	N-FK58	$- 1.9995$	$+ 0.6351$	$+ 2.3644$
N-KZFS5	SF6	N-FK58	$- 2.0109$	$+ 0.6190$	$+ 2.3919$
N-KZFS8	SF6	N-FK58	$- 2.4632$	$+ 1.1613$	$+ 2.3019$
N-LAK10	N-SF11	N-FK58	$- 1.8933$	$+ 0.1994$	$+ 2.6940$
N-LAK10	N-SF15	N-FK58	$- 1.9845$	$+ 0.2880$	$+ 2.6965$
N-LAK10	N-SF2	N-FK58	$- 2.0763$	$+ 0.3863$	$+ 2.6901$
N-LAK10	N-SF57	N-FK58	$- 1.8540$	$+ 0.1683$	$+ 2.6857$
N-LAK10	P-SF67	N-FK58	$- 1.7788$	$+ 0.1279$	$+ 2.6509$
N-LAK10	P-SF68	N-FK58	$- 1.7425$	$+ 0.1161$	$+ 2.6264$
N-LAK33A	N-LASF40	N-FK58	$- 2.2488$	$+ 0.4605$	$+ 2.7883$
N-LAK33A	N-LASF43	N-FK58	$- 2.5128$	$+ 0.6920$	$+ 2.8208$
N-LAK33A	N-LASF45	N-FK58	$- 2.1039$	$+ 0.3470$	$+ 2.7570$
N-LAK33A	N-LASF9	N-FK58	$- 2.0088$	$+ 0.2654$	$+ 2.7434$
N-LAK33A	N-SSK8	N-FK58	$- 2.8557$	$+ 1.3473$	$+ 2.5085$
N-LAK33A	SF1	N-FK58	$- 1.9751$	$+ 0.2210$	$+ 2.7541$
N-LAK33A	SF2	N-FK58	$- 2.0682$	$+ 0.3135$	$+ 2.7547$
N-LAK33A	SF4	N-FK58	$- 1.9326$	$+ 0.1865$	$+ 2.7460$
N-LAK33A	SF5	N-FK58	$- 2.0352$	$+ 0.2766$	$+ 2.7586$
N-LAK34	N-SF1	N-FK58	$- 1.9559$	$+ 0.1481$	$+ 2.8079$
N-LAK34	N-SF10	N-FK58	$- 1.9416$	$+ 0.1358$	$+ 2.8059$
N-LAK34	N-SF11	N-FK58	$- 1.9015$	$+ 0.1063$	$+ 2.7952$
N-LAK34	N-SF14	N-FK58	$- 1.9175$	$+ 0.1157$	$+ 2.8018$
N-LAK34	N-SF15	N-FK58	$- 1.9492$	$+ 0.1502$	$+ 2.7990$
N-LAK34	N-SF2	N-FK58	$- 1.9953$	$+ 0.1971$	$+ 2.7982$
N-LAK34	N-SF4	N-FK58	$- 1.9294$	$+ 0.1244$	$+ 2.8050$
N-LAK34	N-SF5	N-FK58	$- 1.9781$	$+ 0.1766$	$+ 2.8015$
N-LAK34	N-SF57	N-FK58	$- 1.8803$	$+ 0.1050$	$+ 2.7985$
N-LAK34	N-SF6	N-FK58	$- 1.9034$	$+ 0.1050$	$+ 2.7985$
N-LAK34	N-SF8	N-FK58	$- 1.9736$	$+ 0.1671$	$+ 2.8065$
N-LAK34	P-SF67	N-FK58	$- 1.8383$	$+ 0.0702$	$+ 2.7682$
N-LAK34	P-SF68	N-FK58	$- 1.8176$	$+ 0.0643$	$+ 2.7533$
N-LAK34	P-SF69	N-FK58	$- 1.9479$	$+ 0.1426$	$+ 2.8053$
N-LAK34	P-SF8	N-FK58	$- 1.9816$	$+ 0.1694$	$+ 2.8122$
N-LAK34	SF11	N-FK58	$- 1.9075$	$+ 0.1083$	$+ 2.7992$
N-LAK8	N-SF66	N-FK58	$- 1.7836$	$+ 0.0680$	$+ 2.7156$
N-LAK8	P-SF67	N-FK58	$- 1.8056$	$+ 0.0749$	$+ 2.7307$
N-LAK9	N-SF66	N-FK58	$- 1.8537$	$+ 0.0675$	$+ 2.7863$
N-LAK9	P-SF67	N-FK58	$- 1.8764$	$+ 0.0743$	$+ 2.8021$
N-LASF43	SF5	N-FK58	$- 2.9487$	$+ 1.4552$	$+ 2.4935$

$f^{'} = 250$ , $s_{F}^{'} = 236.121$ , $y^{'} = 24.513$ , $Strehl = 0.82$
$r$	$d$	$\emptyset$	Material
137.959	10.0	52	${CaF}_{2}$
$- 94.127$	1.0	52
$- 97.649$	5.0	52	N-LAF33
$- 194.851$	1.0	52
255.453	6.0	52	SF10
273.325		52

Abstract

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Figures (2)

Tables (4)

Equations (34)

Applied Optics