Optical analysis of miniature lenses with curved imaging surfaces

Dmitry Reshidko; Jose Sasian

doi:10.1364/AO.54.00E216

Applied Optics
Vol. 54,
Issue 28,
pp. E216-E223
(2015)
•https://doi.org/10.1364/AO.54.00E216

Optical analysis of miniature lenses with curved imaging surfaces

Dmitry Reshidko and Jose Sasian

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Dmitry Reshidko and Jose Sasian, "Optical analysis of miniature lenses with curved imaging surfaces," Appl. Opt. 54, E216-E223 (2015)

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Abstract

Miniature cameras for consumer electronics and mobile phones have been, and continue to be, in fast development. The system level requirements, such as manufacturing cost, packaging, and sensor characteristics, impose unique challenges for optical designers. In this paper, we discuss the potential optical benefits of having a curved image surface rather than a flat one. We show that curved sensor technology allows for optically faster lens solutions. We discuss trade-offs of several relevant characteristics, such as packaging, chief ray angle, image quality, and tolerance sensitivity. A comparison of a benchmark flat field lens, and an evaluation design imaging on a curved surface and working at $f / 1.6$ , provides useful specific insights. For a given image quality, departing from a flat imaging surface does not allow significantly reducing the total length of a lens.

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Requirement	Value
Sensor format	$1 / 3^{''}$
$f / #$	2.2
FOV [deg]	70
$f$	4.5
Total length [mm]	$< 5.5$
Distortion	$< 1 %$
Number of lenses	5
Materials	COC, OKP4
Edge thickness [mm]	$> 0.1$
Center thickness [mm]	$> 0.3$
Air gap [mm]	$> 0.1$
Surface slope [deg]	$< 55$
Element aspect ratio	$< 1 ∶ 5$
IR cut filter [mm]	0.2

Surf	Radi	Thic	Glass	Conic	4th	6th	8th	10th	12th	14th	16th
OBJ	Inf	Inf
STO	Inf	−0.1742
2	2.3150	0.5487	F52R		$- 5.43 E - 03$	$- 8.89 E - 03$	$2.41 E - 03$	$- 5.37 E - 03$
3	−46.17	0.1018			$2.84 E - 03$	$- 1.91 E - 02$	$2.56 E - 03$	$- 1.71 E - 03$
4	3.3031	0.2453	OKP4		$- 8.88 E - 02$	$3.83 E - 02$	$- 1.92 E - 02$	$7.62 E - 03$
5	1.7092	0.3272			$- 1.23 E - 01$	$5.05 E - 02$	$- 2.04 E - 02$	$5.00 E - 03$
6	6.3429	0.6860	F52R		$- 2.87 E - 02$	$1.26 E - 02$	$- 1.60 E - 02$	$1.32 E - 02$	$2.63 E - 03$	$- 2.71 E - 03$	$3.11 E - 04$
7	521.22	0.5740			$- 4.82 E - 02$	$6.21 E - 03$	$- 1.10 E - 02$	$1.85 E - 02$	$- 1.26 E - 02$	$5.14 E - 03$	$- 6.79 E - 04$
8	2.8303	0.4901	F52R		$- 5.18 E - 02$	$4.63 E - 02$	$- 7.00 E - 02$	$5.38 E - 02$	$- 2.62 E - 02$	$6.87 E - 03$	$- 7.35 E - 04$
9	3.5651	0.5929		−54.19	$1.15 E - 02$	$- 1.26 E - 03$	$- 7.86 E - 03$	$1.25 E - 03$
10	2.2306	0.8486	F52R	3.9004	$- 1.29 E - 01$	$2.04 E - 02$	$6.20 E - 03$	$- 4.67 E - 03$	$4.96 E - 04$	$1.49 E - 04$	$- 2.42 E - 05$
11	1.5027	0.4000		−3.2055	$- 8.67 E - 02$	$2.71 E - 02$	$- 5.03 E - 03$	$7.28 E - 05$	$1.23 E - 04$	$- 1.76 E - 05$	$7.67 E - 07$
12	Inf	0.2000	1.517, 64.2
13	Inf	0.5063
IMA	Inf

Surf	Radi	Thic	Glass	Conic	4th	6th	8th	10th	12th	14th	16th
OBJ	Inf	Inf	0
1	2.2494	0.4100	F52R	0.1400	$1.77 E - 03$	$- 5.59 E - 03$	$2.11 E - 03$	$- 1.40 E - 03$	$- 4.35 E - 04$	$4.84 E - 04$	$- 1.86 E - 04$
2	7.1311	0.1703			$1.33 E - 02$	$- 7.39 E - 03$	$- 3.52 E - 04$	$1.20 E - 04$	$5.87 E - 05$	$- 1.19 E - 05$	$- 5.17 E - 05$
STO	Inf	0.0496
4	6.9383	0.3472	OKP4		$- 1.24 E - 02$	$- 4.55 E - 03$	$5.88 E - 03$	$- 1.57 E - 03$	$- 5.53 E - 04$	$5.52 E - 04$	$- 1.05 E - 04$
5	2.5203	0.1845			$- 3.85 E - 02$	$2.67 E - 02$	$- 2.26 E - 02$	$1.96 E - 02$	$- 9.61 E - 03$	$2.38 E - 03$	$- 2.54 E - 04$
6	3.0512	0.8691	F52R		$- 1.52 E - 02$	$2.87 E - 03$	$7.73 E - 04$	$- 1.59 E - 04$	$- 3.32 E - 05$	$- 3.92 E - 05$	$1.58 E - 05$
7	−8.0687	1.0341			$- 1.47 E - 02$	$3.97 E - 03$	$- 5.04 E - 03$	$8.19 E - 04$	$1.00 E - 03$	$- 6.13 E - 04$	$1.05 E - 04$
8	14.4908	0.3906	OKP4		$- 3.90 E - 02$	$- 1.83 E - 02$	$1.93 E - 02$	$- 1.28 E - 02$	$1.73 E - 04$	$1.92 E - 03$	$- 4.93 E - 04$
9	8.5320	0.4696			$- 7.03 E - 02$	$3.01 E - 02$	$- 1.30 E - 02$	$1.74 E - 03$	$- 1.23 E - 04$	$1.18 E - 04$	$- 2.23 E - 05$
10	3.3880	0.4499	F52R		$- 1.65 E - 01$	$3.04 E - 02$	$5.26 E - 04$	$2.31 E - 04$	$- 1.76 E - 03$	$6.42 E - 04$	$- 6.73 E - 05$
11	2.5782	0.4820			$- 1.43 E - 01$	$3.69 E - 02$	$- 8.28 E - 03$	$9.85 E - 04$	$- 4.04 E - 05$	$- 3.76 E - 06$	$3.28 E - 07$
12	Inf	0.2000	1.550, 55.0
13	Inf	0.4500
IMA	−10.8615	5.8702

Requirement	Value
Sensor format	$1 / 3^{''}$
$f / #$	2.2
FOV [deg]	70
$f$	4.5
Total length [mm]	$< 5.5$
Distortion	$< 1 %$
Number of lenses	5
Materials	COC, OKP4
Edge thickness [mm]	$> 0.1$
Center thickness [mm]	$> 0.3$
Air gap [mm]	$> 0.1$
Surface slope [deg]	$< 55$
Element aspect ratio	$< 1 ∶ 5$
IR cut filter [mm]	0.2

Surf	Radi	Thic	Glass	Conic	4th	6th	8th	10th	12th	14th	16th
OBJ	Inf	Inf
STO	Inf	−0.1742
2	2.3150	0.5487	F52R		$- 5.43 E - 03$	$- 8.89 E - 03$	$2.41 E - 03$	$- 5.37 E - 03$
3	−46.17	0.1018			$2.84 E - 03$	$- 1.91 E - 02$	$2.56 E - 03$	$- 1.71 E - 03$
4	3.3031	0.2453	OKP4		$- 8.88 E - 02$	$3.83 E - 02$	$- 1.92 E - 02$	$7.62 E - 03$
5	1.7092	0.3272			$- 1.23 E - 01$	$5.05 E - 02$	$- 2.04 E - 02$	$5.00 E - 03$
6	6.3429	0.6860	F52R		$- 2.87 E - 02$	$1.26 E - 02$	$- 1.60 E - 02$	$1.32 E - 02$	$2.63 E - 03$	$- 2.71 E - 03$	$3.11 E - 04$
7	521.22	0.5740			$- 4.82 E - 02$	$6.21 E - 03$	$- 1.10 E - 02$	$1.85 E - 02$	$- 1.26 E - 02$	$5.14 E - 03$	$- 6.79 E - 04$
8	2.8303	0.4901	F52R		$- 5.18 E - 02$	$4.63 E - 02$	$- 7.00 E - 02$	$5.38 E - 02$	$- 2.62 E - 02$	$6.87 E - 03$	$- 7.35 E - 04$
9	3.5651	0.5929		−54.19	$1.15 E - 02$	$- 1.26 E - 03$	$- 7.86 E - 03$	$1.25 E - 03$
10	2.2306	0.8486	F52R	3.9004	$- 1.29 E - 01$	$2.04 E - 02$	$6.20 E - 03$	$- 4.67 E - 03$	$4.96 E - 04$	$1.49 E - 04$	$- 2.42 E - 05$
11	1.5027	0.4000		−3.2055	$- 8.67 E - 02$	$2.71 E - 02$	$- 5.03 E - 03$	$7.28 E - 05$	$1.23 E - 04$	$- 1.76 E - 05$	$7.67 E - 07$
12	Inf	0.2000	1.517, 64.2
13	Inf	0.5063
IMA	Inf

Abstract

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Figures (13)

Tables (3)

Equations (1)

Applied Optics