Multimodule optical systems*

R. I. Mercado; O. N. Stavroudis

doi:10.1364/JOSA.65.001133

Journal of the Optical Society of America
Vol. 65,
Issue 10,
pp. 1133-1140
(1975)
•https://doi.org/10.1364/JOSA.65.001133

Multimodule optical systems

R. I. Mercado and O. N. Stavroudis

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R. I. Mercado and O. N. Stavroudis, "Multimodule optical systems*," J. Opt. Soc. Am. 65, 1133-1140 (1975)

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Abstract

Earlier work on modular optical-design techniques is extended to lens systems that consist of an arbitrary number of modules; the work is generalized to include finite-conjugate systems (copy lenses) and afocal systems as well as infinite-conjugate systems (camera lenses). All such modular designs have the property that third-order spherical aberration and astigmatism are identically zero. Equations are derived for obtaining zero values for the remaining third-order monochromatic aberrations as well as the primary chromatic aberrations. Several examples are given.

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Equations (40)

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Focal length = 20 cm, F/4, semifield angle = 20°

Shape parameters		Power parameters

ψ₁ = 0.116868	ψ₂ = −0.0938146	f₁ = 104.408	f₂ = −79.6333
ψ₃ = −0.0368411	ψ₄ = −0.104043	f₃ = 26.7659	f₄ = −21.9162
ψ₅ = −0.108729	ψ₆ = −0.161844	f₅ = −10.5051	f₆ = 10.9564
ψ₇ = 0.104089		f₇ = 13.0302

Surface No.	Curvature	Separation	N	ΔN	Glass
		−44.71440	1.0	0
1	0.0170219	7.97215	1.80802	0.019841	LaSF 3
2	0.0322187	25.98768	1.67003	0.014222	BaF N10
3	−0.0222451	3.82152	1.57310	0.013458	LF 1
4	0.0258037	0.37630	1.0	0
5	0.0548741	2.71184	1.69680	0.012575	LaK N14
6	−0.1860698	2.62943	1.70181	0.017112	BaSF 52
7	−0.0687261	2.19530	1.57845	0.013908	LF 4
8	0.0946528	1.92702	1.0	0
Stop		0.53486	1.0	0
9	−0.2939144	0.02706	1.4645	0.007063	FK 3
10	0.2005905	0.86036	1.67003	0.014222	BaF N10
11	−0.5547224	0.02911	1.0	0
12	−0.6102838	0.97801	1.46450	0.007063	FK 3
13	−0.4139471	0.96705	1.9525	0.046774	SF 59
14	−0.2660347	14.33389	1.0	0

Third-order aberration coefficients
Spherical = 0.	Coma = 0.
Astigmatism = 0.	Petzval sum = 0.
Axial color = 0.	Distortion = 0.0256341
Lateral color = −0.00425751

Focal length = 15 cm, F/6.25, object format = 12 × 16 cm, m = 0.5X.
Shape parameters		Power parameters

ψ₁ = 0.103112	ψ₂ = −0.205324	f₁ = 33.3242	f₂ = 19.7199
ψ₃ = −0.155556	ψ₄ = −0.109187	f₃ = −21.7766	f₄ = −15.5735
ψ₅ = −0.162701	ψ₆ = 0.101765	f₅ = 16.0218	f₆ = 18.9295

Surface No.	Curvature	Separation	N	ΔN	Glass
		35.6336	1.0	0
1	0.105513	1.7470	1.9525	0.046774	SF 59
2	0.158726	0.6188	1.4645	0.007063	FK 3
3	0.190165	2.5796	1.0	0
4	0.118886	2.0658	1.9525	0.046774	SF 59
5	−0.044164	1.6720	1.6223	0.011707	SSK 2
6	0.098710	1.1636	1.0	0
Stop		0.7411	1.0	0
7	−0.197683	0.2424	1.4645	0.007063	FK 3
8	0.132337	1.0013	1.67003	0.014222	BaF N10
9	−0.384194	0.1203	1.0	0
10	−0.433240	2.1232	1.4645	0.007063	FK 3
11	−0.272000	0.4097	1.9525	0.046774	SF 59
12	−0.189538	19.4568	1.0	0

Focal length = 15 cm, F/6.25, object format = 12 × 16 cm, m = 0.5X.
Shape parameters		Power parameters

ψ₁ = 0.103346	ψ₂ = −0.200585	f₁ = 33.6954	f₂ = 13.7142
ψ₃ = −0.155556	ψ₄ = −0.155556	f₃ = −13.7418	f₄ =29.2941
ψ₅ = −0.0687855	ψ₆ = 0.0599031	f₅ = 29.1692	f₆ = 16.8096

Surface No.	Curvature	Separation	N	ΔN	Glass
		36.2771	1.0	0
1	0.103992	1.9438	1.9525	0.046774	SF 59
2	0.157715	2.3598	1.4645	0.007063	FK 3
3	0.244334	1.2875	1.0	0
4	0.170755	2.1603	1.9525	0.046774	SF 59
5	−0.069987	1.0550	1.6223	0.011707	SSK 2
6	0.156425	0.7343	1.0	0
Stop		1.2614	1.0	0
7	−0.087085	0.8179	1.5731	0.013458	LF 1
8	0.040519	1.3835	1.9525	0.046774	SF 59
9	−0.164322	1.5911	1.4645	0.007063	FK 3
10	−0.216476	0.3772	1.6968	0.012575	LAK N14
11	−0.240738	0.7400	1.9525	0.046774	SF 59
12	−0.124185	17.2018	1.0	0

Abstract

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Tables (3)

Equations (40)

Journal of the Optical Society of America