Application of Freeform Surface in Aberration Compensation of Femtosecond Laser Filamentation System

Bofu Xie; Xing Zhao; Shishi Tao; Shuai Zhang; Haoran Li; Yuanbo Li; Hongliang Liu; Weiwei Liu

doi:10.3788/AOS221720

Acta Optica Sinica, Volume. 43, Issue 8, 0822020(2023)

Application of Freeform Surface in Aberration Compensation of Femtosecond Laser Filamentation System

Bofu Xie¹, Xing Zhao^1,2、*, Shishi Tao¹, Shuai Zhang¹, Haoran Li¹, Yuanbo Li¹, Hongliang Liu^1,2, and Weiwei Liu^1,2

Author Affiliations

¹Institute of Modern Optics, Nankai University, Tianjin 300350, China

²Tianjin Key Laboratory of Micro-scale Optical Information Science and Technology, Tianjin 300350, China

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Figures & Tables(20)

Fig. 1. Schematic diagram of femtosecond laser long-distance focusing and filamentation system

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Fig. 2. Schematic diagram of femtosecond laser focusing and filamentation system at 10 m simulated by CODE V

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Fig. 3. Light spot patterns on image plane at different distances from concave mirror

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Fig. 4. Wavefront aberration distribution of system before optimization

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Fig. 5. Schematic diagram of optimized femtosecond laser focusing and filamentation system at 10 m

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Fig. 6. Surface shape Sag diagram of transmission freeform phase plate. (a) Three-demensional diagram; (b) vetical view

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Fig. 7. Light spot patterns on image plane at different distances from concave mirror after optimization

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Fig. 8. Wavefront aberration distribution of system after optimization

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Fig. 9. Probability diagram of light spot RMS diameter change obtained by Monte Carlo tolerance analysis

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Fig. 10. Physical drawing of transmission freeform phase plate

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Fig. 11. Comparison of design Sag and scanning result of transmission freeform surface phase plate in horizontal and vertical directions. (a) Schematic diagram for horizontal and vertical directions; (b) comparison of design Sag and scanning result in horizontal direction; (c) comparison of design Sag and scanning result in vertical direction

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Fig. 12. Light spot patterns at different positions from concave mirror with introduced horizontal and vertical Sag errors. (a) Horizontal direction; (b) vertical direction

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Fig. 13. Schematic diagram of optical path for aberration compensation by transmission freeform surface phase plate

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Fig. 14. Spot patterns at different distances from concave mirror captured by CCD in experiment before compensation. (a) $Z^{'} = 9.8 m$ ; (b) $Z^{'} = 9.9 m$ ; (c) $Z^{'} = 10.0 m$ ; (d) $Z^{'} = 10.1 m$ ; (e) $Z^{'} = 10.2 m$

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Fig. 15. Spot patterns at different distances from concave mirror captured by CCD in experiment after compensation. (a) $Z^{'} = 9.3 m$ ; (b) $Z^{'} = 9.4 m$ ; (c) $Z^{'} = 9.5 m$ ; (d) $Z^{'} = 9.6 m$ ; (e) $Z^{'} = 9.7 m$

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Fig. 16. RMS radius curves of femtosecond laser focusing spot before and after aberration compensation

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Fig. 17. Characterization results of filamentation intensities of femtosecond laser filamentation system before and after aberration compensation using ultrasonic detection method

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Table 1. Detailed design parameters of femtosecond laser focusing and filamentation system at 10 m
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Table 1. Detailed design parameters of femtosecond laser focusing and filamentation system at 10 m
Surface Thickness /mm Radius /mm Conic Semi-diameter /mm Optical axis deflection angle /（°）
Object 200.00 $\infty$ 0
Mirror 2350.80 $\infty$ 0 25.4 90
Concave mirror 10000.00 4064 -1 206.4 10

Table 2. Optimized surface shape parameters of transmission freeform surface phase plate

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Table 2. Optimized surface shape parameters of transmission freeform surface phase plate

Parameter	Optimization result	Parameter	Optimization result
$T_{t}$ /mm	4.0000	$Z_{8 t}$	$- 1.1840 \times 10^{- 8}$
$R_{t}$ /mm	-248.7424	$Z_{9 t}$	$- 7.3544 \times 10^{- 4}$
ρ_t /mm	23.0000	$Z_{10 t}$	$- 2.9977 \times 10^{- 4}$
$D_{t}$ /mm	46.0000	$Z_{11 t}$	$- 4.9952 \times 10^{- 9}$
$K_{t}$	-3.6893	$Z_{12 t}$	$- 2.6967 \times 10^{- 5}$
$Z_{1 t}$	0	$Z_{13 t}$	$- 9.5429 \times 10^{- 9}$
$Z_{2 t}$	0	$Z_{14 t}$	$1.2820 \times 10^{- 5}$
$Z_{3 t}$	0	$Z_{15 t}$	$- 7.9483 \times 10^{- 9}$
$Z_{4 t}$	0.2995	$Z_{16 t}$	$2.9688 \times 10^{- 6}$
$Z_{5 t}$	0.0267	$Z_{17 t}$	$3.9446 \times 10^{- 6}$
$Z_{6 t}$	$1.2350 \times 10^{- 9}$	$Z_{18 t}$	$3.8836 \times 10^{- 9}$
$Z_{7 t}$	$- 3.6480 \times 10^{- 3}$

Table 3. Tolerance types and corresponding values of transmission freeform surface phase plate

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Table 3. Tolerance types and corresponding values of transmission freeform surface phase plate

Tolerance type	Component	CODE V macro command	Value
Surface tolerance	RMS error	RSE（ $λ = 546.1 n m$ ）	0.3000
Tilt tolerance	$α$	DLA	$3.4000 \times 10^{- 3}$ rad
	$β$	DLB	$5.8100 \times 10^{- 4}$ rad
	$γ$	DLG	$3.4000 \times 10^{- 3}$ rad
Decenter tolerance	$Δ X$	DLX	1.0000 mm
	$Δ Y$	DLY	1.0000 mm
	$Δ Z$	DLZ	1.0000 mm

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Bofu Xie, Xing Zhao, Shishi Tao, Shuai Zhang, Haoran Li, Yuanbo Li, Hongliang Liu, Weiwei Liu. Application of Freeform Surface in Aberration Compensation of Femtosecond Laser Filamentation System[J]. Acta Optica Sinica, 2023, 43(8): 0822020

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Paper Information

Category: Optical Design and Fabrication

Received: Sep. 20, 2022

Accepted: Oct. 31, 2022

Published Online: Apr. 6, 2023

The Author Email: Zhao Xing (zhaoxingtjnk@nankai.edu.cn)

DOI:10.3788/AOS221720

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Detailed design parameters of femtosecond laser focusing and filamentation system at 10 m

Table 1. Detailed design parameters of femtosecond laser focusing and filamentation system at 10 m

Table 2. Optimized surface shape parameters of transmission freeform surface phase plate

Table 2. Optimized surface shape parameters of transmission freeform surface phase plate

Table 3. Tolerance types and corresponding values of transmission freeform surface phase plate

Table 3. Tolerance types and corresponding values of transmission freeform surface phase plate