Sixth-order wave aberration theory of ultrawide-angle optical systems

Lijun Lu; Yiqing Cao

doi:10.1364/AO.56.008570

Applied Optics
Vol. 56,
Issue 30,
pp. 8570-8583
(2017)
•https://doi.org/10.1364/AO.56.008570

Sixth-order wave aberration theory of ultrawide-angle optical systems

Lijun Lu and Yiqing Cao

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Lijun Lu and Yiqing Cao, "Sixth-order wave aberration theory of ultrawide-angle optical systems," Appl. Opt. 56, 8570-8583 (2017)

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Abstract

In this paper, we develop sixth-order wave aberration theory of ultrawide-angle optical systems like fisheye lenses. Based on the concept and approach to develop wave aberration theory of plane-symmetric optical systems, we first derive the sixth-order intrinsic wave aberrations and the fifth-order ray aberrations; second, we present a method to calculate the pupil aberration of such kind of optical systems to develop the extrinsic aberrations; third, the relation of aperture-ray coordinates between adjacent optical surfaces is fitted with the second-order polynomial to improve the calculation accuracy of the wave aberrations of a fisheye lens with a large acceptance aperture. Finally, the resultant aberration expressions are applied to calculate the aberrations of two design examples of fisheye lenses; the calculation results are compared with the ray-tracing ones with Zemax software to validate the aberration expressions.

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Corrections

Lijun Lu and Yiqing Cao, "Sixth-order wave aberration theory of ultrawide-angle optical systems: erratum," Appl. Opt. 57, 1050-1050 (2018)
https://opg.optica.org/ao/abstract.cfm?uri=ao-57-5-1050

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Equations (103)

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Surface	Radius (mm)	Spacing (mm)	Index	Glass
1	125.01	6.14	1.51633	BK7HT
2	53.69	25.46	—	—
3	90.47	4.71	1.61272	SK4
4	36.82	13.08	—	—
5	75.24	3.01	1.61484	SSK3
6	12.71	13.10	—	—
7	−145.85	1.18	1.48749	N-FK5
8	16.57	4.36	1.78470	SF56A
9	−274.27	1.25	1.75550	P-LAF37
10	66.93	15.17	—	—
STO	Infinity	2.67	—	—
12	50,427.00	1.14	1.78470	SF56A
13	14.79	6.12	1.74330	N-LAF35
14	−45.50	0.12	—	—
15	−358.78	5.14	1.75550	P-LAF37
16	−38.90	17.53	—	—
17	32.43	2.80	1.78470	SF56A
18	17.34	20.76	1.62041	N-SK16
19	−51.47	11.764	—	—

Surface	Radius (mm)	Spacing (mm)	Index	Glass
1	143.47	7.00	1.51680	N-BK7
2	52.50	28.00	—	—
3	76.40	3.80	1.51680	N-BK7
4	31.521	21.80	—	—
5	150.00	3.00	1.51680	N-BK7
6	17.10	16.50	—	—
7	−60.00	7.00	1.62090	SK51
8	22.625	0.60	—	—
9	23.90	12.60	1.72825	SF10
10	78.988	29.60	—	—
11	278.333	3.00	1.64831	SF12
12	−185.420	0.10	—	—
13	52.030	7.00	1.52330	D263TECO
14	−28.50	2.00	1.77314	LAFN28
15	−77.00	13.00	—	—
STO	Infinite	2.00	—	—
17	45.00	6.00	1.51823	K3
18	−14.40	0.60	1.80610	P-LASF47
19	−34.50	0.10	—	—
20	−110.00	1.00	1.71736	SF1
21	35.00	3.50	1.51680	N-BK7
22	−27.763	41.890

	Fisheye Lens I			Fisheye Lens II
	0°	40°	80°	0°	40°	80°
Figure 13(a)	113.0	125.8	168.6	159.0	166.1	202.9
Figure 13(b)	115.9	121.9	184.0	134.1	146.9	205.2
Figure 13(c)	121.5	147.2	109.2	32.1	37.7	70.6

Surface	Radius (mm)	Spacing (mm)	Index	Glass
1	125.01	6.14	1.51633	BK7HT
2	53.69	25.46	—	—
3	90.47	4.71	1.61272	SK4
4	36.82	13.08	—	—
5	75.24	3.01	1.61484	SSK3
6	12.71	13.10	—	—
7	−145.85	1.18	1.48749	N-FK5
8	16.57	4.36	1.78470	SF56A
9	−274.27	1.25	1.75550	P-LAF37
10	66.93	15.17	—	—
STO	Infinity	2.67	—	—
12	50,427.00	1.14	1.78470	SF56A
13	14.79	6.12	1.74330	N-LAF35
14	−45.50	0.12	—	—
15	−358.78	5.14	1.75550	P-LAF37
16	−38.90	17.53	—	—
17	32.43	2.80	1.78470	SF56A
18	17.34	20.76	1.62041	N-SK16
19	−51.47	11.764	—	—

Surface	Radius (mm)	Spacing (mm)	Index	Glass
1	143.47	7.00	1.51680	N-BK7
2	52.50	28.00	—	—
3	76.40	3.80	1.51680	N-BK7
4	31.521	21.80	—	—
5	150.00	3.00	1.51680	N-BK7
6	17.10	16.50	—	—
7	−60.00	7.00	1.62090	SK51
8	22.625	0.60	—	—
9	23.90	12.60	1.72825	SF10
10	78.988	29.60	—	—
11	278.333	3.00	1.64831	SF12
12	−185.420	0.10	—	—
13	52.030	7.00	1.52330	D263TECO
14	−28.50	2.00	1.77314	LAFN28
15	−77.00	13.00	—	—
STO	Infinite	2.00	—	—
17	45.00	6.00	1.51823	K3
18	−14.40	0.60	1.80610	P-LASF47
19	−34.50	0.10	—	—
20	−110.00	1.00	1.71736	SF1
21	35.00	3.50	1.51680	N-BK7
22	−27.763	41.890

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Cited By

Figures (13)

Tables (5)

Equations (103)

Applied Optics