Practical technique for balancing the optical aberrations among conceptual thin-lens components of optical zoom lenses

Chaohsien Chen

doi:10.1364/AO.468577

Applied Optics
Vol. 61,
Issue 31,
pp. 9225-9232
(2022)
•https://doi.org/10.1364/AO.468577

Practical technique for balancing the optical aberrations among conceptual thin-lens components of optical zoom lenses

Chaohsien Chen

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Chaohsien Chen, "Practical technique for balancing the optical aberrations among conceptual thin-lens components of optical zoom lenses," Appl. Opt. 61, 9225-9232 (2022)

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Abstract

Solving conceptual thin-lens components with balanced optical aberrations among different optical configurations is essential for lens design from scratch. This paper presents a general and practical method for building conceptual thin-lens components that can be further optimized by Code V (a well-known optical design program) to approach specific aberration targets. The conceptual component consists of a Code V’s lens module and a hologram with zero diffraction order. The latter provides spaces for storing the reference data of incident marginal and chief rays, spherical aberration, central coma, and longitudinal chromatic aberration without affecting the paraxial ray tracing. Those reference data are used to evaluate the real aberrations at different optical configurations by our earlier aberration variation algorithms [Appl. Opt. 55, 10363 (2016) [CrossRef] ]. The model helps investigate the properties of lenses and solve the balanced aberrations by the optimization process. An example of solving a zoom lens with different optimization goals is given to demonstrate the usage of the method. Detailed design data are listed for verification.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the author upon reasonable request.

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Parameter	Note
Diffraction order (HOR)	0
Construction wavelength (HWL)	Not used
$R^{2}$ (HCO C1)	$S_{1}$
$R^{4}$ (HCO C2)	$S_{2 C}$
$R^{6}$ (HCO C3)	Not used
$R^{8}$ (HCO C4)	$n_{S 4}$
$R^{10}$ (HCO C5)	$C_{L}$
$R^{12}$ (HCO C6)	Not used
$R^{14}$ (HCO C7)	$h$
$R^{16}$ (HCO C8)	$u$
$R^{18}$ (HCO C9)	$\bar{h}$
$R^{20}$ (HCO C10)	$\bar{u}$

Surface #	Surface Name	Surface Type	Thicknesses of Zoom Positions
0 (object)			$\infty$ , $\infty$ , $\infty$ , 910.41, 914.23, 909.93
1	G1A	Lens module ( $f = - 50$ )	0
2			0
3	G1B	DOE	3.326, 12.863, 27.167, 5.929, 15.455, 29.772
4	G2A	Lens module ( $f = 70$ )	0
5			0
6	G2B	DOE	2.6442
7 (stop)			3.7693
8	G3A	Lens module ( $f = 55$ )	0
9			0
10	G3B	DOE	77.252, 63.9, 53.887, 77.252, 63.9, 53.887
11 (image)

Zoom	Object-to-Image Distance	Focal Length	Optical Invariant	F/#
1	Infinity	70	−2.37	4.55
2	Infinity	50	−2.81	3.83
3	Infinity	35	−3.27	3.3
4	1M	63.1	−2.37	4.55
5	1M	46.4	−2.81	3.83
6	1M	33.2	−3.27	3.3

Component 1
Zoom	$h$	$u$	$\bar{h}$	$\bar{u}$
1	7.68	0	−1.66	0.308
2	6.51	0	−5.13	0.432
3	5.30	0	−11.54	0.617
4	7.28	0.0079	−2.38	0.322
5	6.17	0.0067	−5.99	0.449
6	5.02	0.0055	−12.55	0.637
Component 2
Zoom	$h$	$u$	$\bar{h}$	$\bar{u}$
1	8.19	0.153	−0.75	0.275
2	8.18	0.130	−0.90	0.329
3	8.18	0.106	−1.05	0.386
4	8.19	0.153	−0.75	0.275
5	8.18	0.130	−0.90	0.329
6	8.18	0.106	−1.05	0.386
Component 3
Zoom	$h$	$u$	$\bar{h}$	$\bar{u}$
1	8.47	0.044	1.07	0.285
2	8.32	0.021	1.28	0.341
3	8.16	−0.003	1.5	0.400
4	8.47	0.0443	1.075	0.285
5	8.32	0.0210	1.28	0.341
6	8.16	−0.003	1.5	0.400

	Reference Incident Ray Data				Reference Aberrations
Comp.	$h$	$u$	$\bar{h}$	$\bar{u}$	$S_{1}$	$S_{2 C}$	$n_{s 4}$
1	7.68	0	−1.66	0.308	0	0	1.4
2	8.19	0.153	−0.75	0.275	0	0	1.4
3	8.47	0.044	1.07	0.285	0	0	1.6

Zoom	$S_{1}$	$S_{2 C}$	$S_{2}$	$S_{3}$	$S_{4}$	$S_{5}$
1	0	0	0	−0.112	−0.08	0.09
2	0	0	0	−0.158	−0.113	0.463
3	0	0	0	−0.214	−0.153	1.732
4	0.00093	−0.0074	−0.0077	−0.107	−0.08	0.134
5	0.00048	−0.0063	−0.0068	−0.145	−0.113	0.552
6	0.00021	−0.0049	−0.0054	−0.188	−0.153	1.891

Zoom	$S_{1}$	$S_{2}$	$S_{3}$	$S_{4}$	$S_{5}$	Dist. (%)
1	0	0	0.0646	0.037	0.112	−2.36
2	0.00716	−0.045	0.0877	0.0522	0.498	−8.86
3	0.0245	−0.105	0.114	0.0707	1.786	−27.29
4	0.00093	−0.0077	0.0696	0.037	0.155	−3.28
5	0.00764	−0.051	0.1	0.0522	0.587	−10.43
6	0.0248	−0.11	0.14	0.0707	1.945	−29.71

Zoom	On-Axis Field	Off-Axis Field	Sum
1	0	1.54	1.54
2	0.00111	2.354	2.355
3	0.009518	3.824	3.834
4	0.000027	1.7617	1.761
5	0.001265	2.952	2.953
6	0.009683	4.974	4.984

Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)	MF
1	−1.281	−0.704	0, 6.04, 28.52, 0.74, 8.22, 31.04	0.0664, 53.15, 2.44, 9.225, 68.72, 91.9
2	−3.802	0.492
3	5.084	−1.061

Case 1 (System $M F = 2.12$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	−0.0266	0.0289	−2.45, −9.79, −32.37, −3.47, −11.7, −35.62
2	0.0166	0.0564
3	−0.0571	−0.0345
Case 2 (System $MF = 7.56$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	0.0955	−0.0952	−1.92, −5.55, −10, −2.51, −6, −9.66
2	−0.050	0.478
3	−0.0214	−0.386
Case 3 (System $MF = 12.63$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	0.201	−0.105	−2.48, −5.67, −6, −3, −5.79, −4.62
2	5.673	1.209
3	−5.790	0.163

Case 1 (System $M F = 2.12$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	−0.0266	0.0289	−2.45, −9.79, −32.37, −3.47, −11.7, −35.62
2	0.0166	0.0564
3	−0.0571	−0.0345
Case 2 (System $MF = 7.56$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	0.0955	−0.0952	−1.92, −5.55, −10, −2.51, −6, −9.66
2	−0.050	0.478
3	−0.0214	−0.386
Case 3 (System $MF = 12.63$ )
Comp.	$S_{1}$	$S_{2 C}$	Dist. (%)
1	0.201	−0.105	−2.48, −5.67, −6, −3, −5.79, −4.62
2	5.673	1.209
3	−5.790	0.163

Abstract

Data availability

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Figures (5)

Tables (10)

Equations (22)

Applied Optics