Evaluation of Optical Performance of Progressive Addition Lenses Using Point Spread Function

Bingcheng Wang; Huazhong Xiang; Lefei Ma; Hui Cheng; Jianting Liu; Chunxian Tao; Dawei Zhang

doi:10.3788/AOS241552

Acta Optica Sinica, Volume. 45, Issue 2, 0222003(2025)

Evaluation of Optical Performance of Progressive Addition Lenses Using Point Spread Function

Bingcheng Wang¹, Huazhong Xiang^2、**, Lefei Ma², Hui Cheng², Jianting Liu², Chunxian Tao^1、*, and Dawei Zhang¹

¹School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

²Institute of Medical Optics and Optometry, School of Health Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

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Abstract Get PDF(in Chinese)

Figures & Tables(16)

Fig. 1. Simulated images of lens 1. (a) Power; (b) astigmatism

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Fig. 2. Simulated results of lens 2. (a) Power; (b) astigmatism

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Fig. 3. 3D images at different angles of rotation observed by lens. (a) (20°, 20°); (b) (0°, 0°); (c) (-20°, -20°)

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Fig. 4. Plane of all rotation angles on lens surface

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Fig. 5. PSF plots observed through lens 1 at different viewing distances and rotation angles. (a) Far distance; (b) intermediate distance; (c) near distance

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Fig. 6. Convolutional plots observed through lens 1 at different viewing distances and rotation angles. (a) Initial diagram; (b) far distance; (c) intermediate distance; (d) near distance

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Fig. 7. PSF plots observed through lens 2 at different viewing distances and rotation angles. (a) Far distance; (b) intermediate distance; (c) near distance

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Fig. 8. Convolutional plots observed through lens 2 at different viewing distances and rotation angles. (a) Initial diagram; (b) far distance; (c) intermediate distance; (d) near distance

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Fig. 9. PSF plots obtained by observation and calculation through lens 1 at different rotation angles. (a) (-20°, -20°); (b) (-20°, -25°); (c) (-25°, -20°); (d) (-25°, -25°)

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Table 1. Parameters of human eye model

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Table 1. Parameters of human eye model

Surface type	Comment	Radius /mm	Thickness /mm	Material refractive index	Semi-dia /mm	Conic
OBJ standard	Object	Infinity	Infinity	-	0	0
1 standard	Anterior cornea	7.77	0.550	1.376	5.0	-0.18
2 standard	Aqueous	6.40	3.160	1.336	5.0	-0.60
STO standard	Pupil	Infinity	0	1.336	1.5	0
4 gradient 3	Lens-front	12.40	1.590	Grad A	5.0	0
5 gradient 3	Lens-back	Infinity	2.430	Grad P	5.0	0
6 standard	Vitreous	-8.10	16.189	1.336	5.0	0.96
IMA standard	Retina	-12.00	-	-	5.0	0

Table 2. Design parameters for lens 1
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Table 2. Design parameters for lens 1
Parameter D_SPH /D ADD /D D_CYL /D h /mm L /mm
Lens 1 0 2 0 24 4

Table 3. Design parameters for lens 2
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Table 3. Design parameters for lens 2
Parameter Meridional power Contour D_SPH /D ADD /D D_CYL /D h₁/h₂/h₃ /mm L₁/L₂/L₃ /mm
Lens 2 CDF/CDF/CDF Ellipse 0 2 0 24/14/8 4/6/6

Table 4. Progressive addition lenses and rotation angle parameters

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Table 4. Progressive addition lenses and rotation angle parameters

Surface type	Comment	Radius /mm	Thickness /mm	Material refractive index	Semi-dia /mm	Conic
Standard （1）	PAL-front	140.10	2.3	1.565	40	0
Grid sag （2）	PAL-back	Infinity	27	-	40	-
Coordinate break （3）方正汇总行^*	-	-	-12	-	0	-

Table 5. Aberration coefficients at different angles

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Table 5. Aberration coefficients at different angles

Angle	（-20°， -20°）	（-20°， -25°）	（-25°， -20°）	（-25°， -25°）
Astigmatism at ±45°	-0.6682	-0.6648	-0.6501	-0.6793
Defocus	0.2828	0.2857	0.2606	0.2189
Astigmatism at 0° or 90°	-0.2556	-0.2579	-0.3432	-0.3586
Trefoil along Y	-0.0040	0.0009	-0.0017	0.0060
Coma along Y	0.0060	-0.0038	0.0148	0.0058
Coma along X	0.0072	-0.0172	-0.0009	-0.0079
Trefoil along X	0.0075	-0.0034	-0.0067	-0.0049

Table 6. Aberration coefficient parameters at different angles

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Table 6. Aberration coefficient parameters at different angles

Angle	（20°， -20）	（20°， -25°）	（25°， -20°）	（25°， -25°）
Astigmatism at ±45°	0.6687	0.6655	0.6503	0.6791
Defocus	0.2835	0.2866	0.2612	0.2193
Astigmatism at 0° or 90°	-0.2558	-0.2583	-0.3438	-0.3593

Table 7. Zernike aberration coefficient parameters at different angles

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Table 7. Zernike aberration coefficient parameters at different angles

Angle	（20°， -20）	（20°， -25°）	（25°， -20°）	（25°， -25°）
Astigmatism at ±45°	-1.3801	-1.3729	-1.3385	-1.3960
Defocus	0.5993	0.6018	0.5612	0.4677
Astigmatism at 0°or 90°	-0.5417	-0.5408	-0.7317	-0.7649

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Bingcheng Wang, Huazhong Xiang, Lefei Ma, Hui Cheng, Jianting Liu, Chunxian Tao, Dawei Zhang. Evaluation of Optical Performance of Progressive Addition Lenses Using Point Spread Function[J]. Acta Optica Sinica, 2025, 45(2): 0222003

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