Beam Quality Analysis Based on Ray Mapping Initial Phase Estimation and Radial Basis Function Optimization

Chunyuan Chen; Zexin Feng

doi:10.3788/LOP240817

Laser & Optoelectronics Progress, Volume. 62, Issue 1, 0112001(2025)

Beam Quality Analysis Based on Ray Mapping Initial Phase Estimation and Radial Basis Function Optimization

Chunyuan Chen and Zexin Feng^*

Beijing Engineering Research Center of Mixed Reality and Advanced Display, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

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Abstract Get PDF(in Chinese)

Figures & Tables(13)

Fig. 1. Schematic diagram of light ray mapping

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Fig. 2. Flowchart and light propagation schematic diagram of proposed method

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Fig. 3. Phase estimation by proposed method and zero-initial RBF method

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Fig. 4. Reconstruction and fitting results of single mode laser beam

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Fig. 5. Intensity distributions of multimode laser in different distances. (a) 15 mm; (b) 20 mm

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Fig. 6. Reconstruction and fitting results of multimode laser beam

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Fig. 7. Effect of noise on energy conservation method and second-order moment method

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Fig. 8. Experimental lightpath setup

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Fig. 9. Captured data by CCD and phase recovery results. (a) Laser image captured at 2 mm; (b) laser image captured at 4 mm; (c) initial phase estimation by proposed method; (d) phase retrieval result by proposed method; (e) phase retrieval result by zero-initial RBF method

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Fig. 10. Laser beam width distribution along z axis

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Fig. 11. Spatial distribution of reconstructed beam. (a) Intensity distribution in the xoz plane; (b) intensity distribution in the yoz plane

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Table 1. Comparison of beam parameters measured by different methods
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Table 1. Comparison of beam parameters measured by different methods
Method ω_x /μm ω_y /μm z_x/mm z_y/mm
Relative error /% 0.463 0.625 0.958 1.301
Proposed 32.28 34.98 5.17 6.07
Beam profiler 32.43 35.20 5.22 6.15

Table 2. $M_{x}^{2}$ and $M_{y}^{2}$ of reconstruction results by different displacement distances
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Table 2. $M_{x}^{2}$ and $M_{y}^{2}$ of reconstruction results by different displacement distances
Displacement distance /mm Measured value Relative error /%
$M_{x}^{2}$ $M_{y}^{2}$ $M_{x}^{2}$ $M_{y}^{2}$
（4， 6） 1.048 1.114 1.411 2.366
（2， 6） 1.053 1.136 0.941 0.438
（6， 10） 1.060 1.053 0.282 7.712
（2， 10） 1.062 1.108 0.094 2.892

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Chunyuan Chen, Zexin Feng. Beam Quality Analysis Based on Ray Mapping Initial Phase Estimation and Radial Basis Function Optimization[J]. Laser & Optoelectronics Progress, 2025, 62(1): 0112001

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Mar. 5, 2024

Accepted: May. 7, 2024

Published Online: Dec. 11, 2024

The Author Email: Feng Zexin (fzx84@126.com)

DOI:10.3788/LOP240817

CSTR:32186.14.LOP240817

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Comparison of beam parameters measured by different methods

Table 1. Comparison of beam parameters measured by different methods

Table 2. Mx2 and My2 of reconstruction results by different displacement distances

Table 2. Mx2 and My2 of reconstruction results by different displacement distances

Table 2. $M_{x}^{2}$ and $M_{y}^{2}$ of reconstruction results by different displacement distances

Table 2. $M_{x}^{2}$ and $M_{y}^{2}$ of reconstruction results by different displacement distances