Measurement of Lens Parameters Using a Shack-Hartmann Wavefront Sensor

Zijin Deng; Changwei Li; Sijiong Zhang

doi:10.3788/LOP242091

Laser & Optoelectronics Progress, Volume. 62, Issue 9, 0912004(2025)

Measurement of Lens Parameters Using a Shack-Hartmann Wavefront Sensor

Zijin Deng^1,2,3, Changwei Li^1,2,3, and Sijiong Zhang^1,2,3、*

Author Affiliations

¹Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, Jiangsu , China

²Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, Jiangsu , China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(17)

Fig. 1. Schematic diagrams of determining the position of the reference point. (a) (b) Focal point F of the lens away from point source S; (c) focal point F of the lens at the point source S

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Fig. 2. Schematic diagram of the focal length measurement

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Fig. 3. Schematic diagram of the geometric relationship between the radii of the curvatures of the spherical waves at the rear principal plane of the lens and the front surface of the microlens array

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Fig. 4. Schematic diagram of the reflection configuration for the radius of curvature measurement

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Fig. 5. Schematic diagram of the experimental setup for lens parameter measurements

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Fig. 6. Experimental setup for measuring lens parameters

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Fig. 7. Determination of the position of the reference point by the evaluation function LSSCS

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Fig. 8. LSSCS changes with position coordinates around points z_a and z_b

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Table 1. Parameters of the test lens
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Table 1. Parameters of the test lens
Nominal focal length /mm Nominal radius of curvature /mm Nominal refractive index
25.5 13.13 1.515
38.3 19.69 1.515
100.0 51.50 1.515

Table 2. Measurement results of the focal length
View table
Table 2. Measurement results of the focal length
Nominal focal length /mm Measured value /mm
25.5 25.7±0.2
38.3 37.6±0.2
100.0 100.0±0.9

Table 3. Measurement results of the radius of curvature
View table
Table 3. Measurement results of the radius of curvature
Nominal radius of curvature /mm Measured value /mm
13.13 13.17±0.05
19.69 19.73±0.03

Table 4. Measurement results of the refractive index
View table
Table 4. Measurement results of the refractive index
Nominal refractive index Measured refractive index
1.515 1.513±0.004（f=25.5）
1.515 1.525±0.003（f=38.3）

Table 5. Errors in the refractive index caused by uncertainties in the parameters
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Table 5. Errors in the refractive index caused by uncertainties in the parameters
Focal length /mm Error caused by the focal length Error caused by the radii of the curvatures Error caused by the thickness
25 0.0053 0.0017 0.0004
50 0.0052 0.0028 0.0002
100 0.0052 0.0031 0.0001

Table 6. Refractive index calculated for lenses of different thicknesses
View table
Table 6. Refractive index calculated for lenses of different thicknesses
Focal length /mm Thickness /mm Calculated refractive index
Nominal refractive index 1.5168
25 3.4 1.5179
50 2.6 1.5175
100 2.2 1.5164

Table 7. Errors in the measurement of the focal length corresponding to different focal lengths of the microlens
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Table 7. Errors in the measurement of the focal length corresponding to different focal lengths of the microlens
Focal length of the microlens /mm Error caused by the linear translation /mm Error caused by the focal length of the microlens /mm Error caused by the noise /mm
5 0.13 0.19 0.06
10 0.27 0.19 0.06
20 0.54 0.19 0.06

Table 8. Measurement of the focal length using different numbers of subapertures
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Table 8. Measurement of the focal length using different numbers of subapertures
Number of subapertures Measured focal length /mm
Mean value 25.5±0.1
625 25.45
576 25.64
529 25.47
484 25.51
441 25.31

Table 9. Appropriate defocus amount for measuing different focal lengths
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Table 9. Appropriate defocus amount for measuing different focal lengths
Focal length /mm Appropriate defocus amount /mm
25 0.9
50 3.6
100 15.7

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Zijin Deng, Changwei Li, Sijiong Zhang. Measurement of Lens Parameters Using a Shack-Hartmann Wavefront Sensor[J]. Laser & Optoelectronics Progress, 2025, 62(9): 0912004

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Oct. 9, 2024

Accepted: Oct. 17, 2024

Published Online: Apr. 23, 2025

The Author Email: Sijiong Zhang (sjzhang@niaot.ac.cn)

DOI:10.3788/LOP242091

CSTR:32186.14.LOP242091

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Parameters of the test lens

Table 1. Parameters of the test lens

Table 2. Measurement results of the focal length

Table 2. Measurement results of the focal length

Table 3. Measurement results of the radius of curvature

Table 3. Measurement results of the radius of curvature

Table 4. Measurement results of the refractive index

Table 4. Measurement results of the refractive index

Table 5. Errors in the refractive index caused by uncertainties in the parameters

Table 5. Errors in the refractive index caused by uncertainties in the parameters

Table 6. Refractive index calculated for lenses of different thicknesses

Table 6. Refractive index calculated for lenses of different thicknesses

Table 7. Errors in the measurement of the focal length corresponding to different focal lengths of the microlens

Table 7. Errors in the measurement of the focal length corresponding to different focal lengths of the microlens

Table 8. Measurement of the focal length using different numbers of subapertures

Table 8. Measurement of the focal length using different numbers of subapertures

Table 9. Appropriate defocus amount for measuing different focal lengths

Table 9. Appropriate defocus amount for measuing different focal lengths