Burst-Mode Ultrafast Laser Welding of Sapphire and Invar Alloy Across Large Interfacial Gaps up to 10 μm
Pith reviewed 2026-05-14 18:58 UTC · model grok-4.3
The pith
Burst-mode ultrafast laser pulses bridge 10-micrometer gaps between sapphire and Invar alloy to reach 6.3 MPa shear strength.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Burst-mode ultrafast laser welding enables interfacial bridging across gaps up to 10 micrometers between sapphire and Invar alloy, producing a maximum shear strength of 6.3 MPa where single-pulse welding fails entirely. The temporally spaced sub-pulses create cyclic thermal stresses that drive material flow and energy accumulation sufficient to close the gap and form a mechanically robust interface, as confirmed by microscopy, elemental mapping, and shear tests.
What carries the argument
Burst-mode ultrafast laser pulses, which split the energy into a train of temporally spaced sub-pulses to deposit heat incrementally across the gap instead of in one instantaneous event.
If this is right
- At 3-micrometer gaps, increasing the number of sub-pulses reduces joint strength because cyclic stresses create transverse micro-crack networks in the sapphire.
- Joint morphology and elemental mixing change systematically with gap width, showing a transition from direct fusion at small gaps to bridged structures at larger ones.
- Optimization of burst parameters yields reliable dissimilar-material bonds under non-contact conditions that standard lasers cannot achieve.
- The maximum 6.3 MPa strength at 10 micrometers exceeds previously reported values for comparable sapphire-metal joints.
Where Pith is reading between the lines
- The same burst-timing principle could be tested on other transparent ceramics paired with low-expansion metals to see whether comparable gap-bridging occurs.
- Real-time acoustic or thermal monitoring during welding might detect the onset of crack networks early enough to adjust pulse count and preserve strength.
- If energy accumulation scales linearly with burst length, the technique might close gaps beyond 10 micrometers by simply lengthening the pulse train.
Load-bearing premise
The observed bridging and strength at large gaps arise primarily from the burst-mode timing rather than from unmeasured details of surface finish, beam focus, or material chemistry.
What would settle it
Reproduce the identical 10-micrometer gap experiment with single pulses under the same surface preparation and focusing conditions and obtain comparable bridging plus 6.3 MPa shear strength.
read the original abstract
Achieving reliable joining between transparent materials and metals under non-optical-contact conditions remains challenging due to limited energy coupling and uncontrolled interfacial reaction across $\mu$m-scale gaps. Burst-mode ultrafast lasers provide a potential solution for large-gap welding through temporally distributed energy deposition. However, the underlying interaction mechanisms and achievable joining limits remain unclear. In this study, burst-mode ultrafast laser welding of sapphire to Invar alloy was investigated under controlled interfacial gaps from 3 to 10 $\mu$m. Cross-sectional microscopy, elemental mapping, white-light interferometry, and shear testing were employed to analyze joint morphology, elemental distribution, fracture behavior, and mechanical performance.After optimization of the processing parameters for burst-mode ultrafast laser welding, the interfacial morphological evolution and joint strength under different gap conditions were systematically investigated. At a 3 $\mu$m gap, cyclic thermal stresses induced by burst pulses generate transverse micro-crack networks in sapphire, accompanied by a reduction in joint strength with increasing sub-pulse numbers. Notably, at a 10 $\mu$m gap, where single-pulse welding fails, burst-mode ultrafast laser welding enables interfacial bridging with a maximum shear strength of 6.3 MPa, representing the highest level among published studies.These results indicate a gap-dependent evolution in burst-mode welding behavior governed by crack formation and energy accumulation. This study provides an important theoretical basis and practical guidance for achieving high-performance joining of dissimilar materials under large gap conditions.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports an experimental investigation of burst-mode ultrafast laser welding between sapphire and Invar alloy across controlled interfacial gaps of 3–10 μm. Using cross-sectional microscopy, elemental mapping, white-light interferometry, and shear testing, the authors show gap-dependent interfacial morphology and mechanical performance. They claim that optimized burst-mode parameters enable bridging and joining at 10 μm gaps where single-pulse welding fails, achieving a maximum shear strength of 6.3 MPa (highest reported), with behavior governed by crack formation and energy accumulation from temporally distributed sub-pulses.
Significance. If the central experimental claims hold after clarification of controls, the work is significant for practical dissimilar-material joining in optics and precision engineering, where non-contact gaps are common. The demonstration of reliable bridging at 10 μm with quantified strength provides concrete process guidance and extends the known limits of ultrafast laser welding beyond optical-contact conditions.
major comments (2)
- [Results (10 μm gap comparison)] Results section (paragraph discussing 10 μm gap trials): The statement that single-pulse welding fails at 10 μm while burst-mode succeeds requires explicit confirmation that the single-pulse control used equivalent total fluence or cumulative energy to the optimized burst (multiple sub-pulses). The 3 μm gap data show strength reduction with increasing sub-pulse number, indicating sensitivity to energy accumulation; without matched total-energy single-pulse controls, the attribution of bridging specifically to temporal distribution (rather than higher total energy input) cannot be isolated.
- [Methods (parameter optimization)] Methods/parameter optimization subsection: The abstract and main text provide only high-level descriptions of burst-mode parameter optimization (sub-pulse number, energy distribution, repetition rate). Specific values for total fluence, peak power per sub-pulse, and focusing conditions for both burst and single-pulse trials should be tabulated or stated quantitatively to allow reproduction and to rule out confounding variables such as exact spot size or surface preparation.
minor comments (2)
- [Figures] Figure captions for cross-sectional micrographs and shear-test plots should include scale bars, error bars (n= number of replicates), and explicit labeling of single-pulse vs. burst conditions for direct visual comparison.
- [Abstract and Discussion] The claim in the abstract that 6.3 MPa is 'the highest level among published studies' should be supported by a brief comparison table or citations in the discussion section rather than left as a standalone assertion.
Simulated Author's Rebuttal
We thank the referee for the detailed and constructive review. The comments have helped us to clarify important aspects of our experimental design and improve the manuscript's reproducibility. Below we provide point-by-point responses to the major comments.
read point-by-point responses
-
Referee: Results section (paragraph discussing 10 μm gap trials): The statement that single-pulse welding fails at 10 μm while burst-mode succeeds requires explicit confirmation that the single-pulse control used equivalent total fluence or cumulative energy to the optimized burst (multiple sub-pulses). The 3 μm gap data show strength reduction with increasing sub-pulse number, indicating sensitivity to energy accumulation; without matched total-energy single-pulse controls, the attribution of bridging specifically to temporal distribution (rather than higher total energy input) cannot be isolated.
Authors: We appreciate this important point regarding the control experiments. In our study, the single-pulse welding trials at 10 μm gap were conducted with a pulse energy set to match the total cumulative energy of the optimized burst-mode sequence (sum of the sub-pulse energies). This was done to ensure comparable total fluence input. The 3 μm gap results indeed highlight the role of energy accumulation and crack formation, but for the 10 μm case, the temporal distribution allows for better bridging without excessive cracking. We will revise the manuscript to explicitly state the equivalent total fluence used in single-pulse controls and include the specific values in a new table. revision: yes
-
Referee: Methods/parameter optimization subsection: The abstract and main text provide only high-level descriptions of burst-mode parameter optimization (sub-pulse number, energy distribution, repetition rate). Specific values for total fluence, peak power per sub-pulse, and focusing conditions for both burst and single-pulse trials should be tabulated or stated quantitatively to allow reproduction and to rule out confounding variables such as exact spot size or surface preparation.
Authors: We agree that quantitative details are essential for reproducibility. We will add a dedicated table in the Methods section that lists all key parameters, including total fluence, energy per sub-pulse, number of sub-pulses, repetition rate, focusing conditions (NA, spot size), and surface preparation procedures for both the burst-mode and single-pulse experiments. This will also include the optimized values used for the 10 μm gap joining. revision: yes
Circularity Check
No circularity: purely experimental study with direct measurements only
full rationale
The paper reports experimental results on laser welding parameters, joint morphology, elemental mapping, and shear strength measurements across controlled gaps. No derivations, equations, fitted models, or theoretical predictions are present that could reduce to inputs by construction. All claims rest on direct observations and comparisons to published studies, with no self-citation chains or ansatzes invoked as load-bearing steps. The work is self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
free parameters (1)
- burst-mode parameters (sub-pulse number, energy distribution, repetition rate)
axioms (1)
- domain assumption Ultrafast laser pulses deposit energy locally through absorption and plasma-mediated processes to enable melting and bonding across gaps
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
At a 10 μm gap, where single-pulse welding fails, burst-mode ultrafast laser welding enables interfacial bridging with a maximum shear strength of 6.3 MPa... gap-dependent evolution in burst-mode welding behavior governed by crack formation and energy accumulation.
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
cyclic thermal stresses induced by burst pulses generate transverse micro-crack networks... ΔK = Y·Δσ·√(πa)
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
Femtosecond laser welding of sapphire-copper using a thin film titanium interlayer,
H. Yu, J.-X. Zhao, L.-J. Zhang, et al., “Femtosecond laser welding of sapphire-copper using a thin film titanium interlayer,” Opt. Laser Technol. 177, 111063 (2024)
work page 2024
-
[2]
Laser welding of fiber array units,
S. L. Logunov, M. A. Quesada, L. C. Dabich, et al., “Laser welding of fiber array units,” Appl. Opt. 63(9), 2167–2174 (2024)
work page 2024
-
[3]
C. Chen, Y. Xie, L. Liu, et al., “Cold spray additive manufacturing of Invar 36 alloy: microstructure, thermal expansion and mechanical properties,” J. Mater. Sci. Technol. 72, 39–51 (2021)
work page 2021
-
[4]
X. Zuo, L. Lin, Y. Hu, et al., “High-strength and impermeable sapphire/aluminum joints fabricated by Ultrafast laser microwelding: Microstructures and joining mechanism,” Opt. Laser Technol. 180, 111455 (2025)
work page 2025
-
[5]
Q. Jiang, J. Xu, J. Yang, et al., “Microstructural and properties of Ultrafast laser selective micro-welding joints of sapphire and Invar alloys,” Transactions of the Li et al. Light: Advanced Manufacturing 27 / 31 China Welding Institution 44(12), 41–48 (2023)
work page 2023
-
[6]
P., Shetty, R., Schwerdtfeger, C
Khattak, C. P., Shetty, R., Schwerdtfeger, C. R. & Ullal, S. World’s largest sapphire for many applications. J. Cryst. Growth452, 44–48 (2016)
work page 2016
- [7]
-
[8]
Penilla, E., Devia-Cruz, L., Wieg, A., Martinez-Torres, P., Cuando-Espitia, N., Sellappan, P., Kodera, Y., Aguilar, G. & Garay, J. Ultrafast laser welding of ceramics. Science365(6455), 803–808 (2019)
work page 2019
-
[9]
R.E. Lafon, S.X. Li, F. Micalizzi, S.W. Lebair, A.L. Glebov, P.O. Leisher, Ultrafast laser bonding of glasses and crystals to metals for epoxy-free optical instruments, Proc. SPIE 11268 (2020)
work page 2020
-
[10]
Li, C. et al.Non-destructive measurement of residual stress distribution as a function of depth in sapphire/Ti6Al4V brazing joint via Raman spectra. Ceram. Int.45, 3284–3289 (2019)
work page 2019
- [11]
-
[12]
He, L., Chen, C., Li, H., Li, Y. & Yi, R. Research advances in joining processes of sapphire. Int. J. Adv. Manuf. Technol.121(1–2), 59–81 (2022)
work page 2022
-
[13]
J. Jin, S. Geng, L. Shu, P. Jiang, X. Shao, C. Han, L. Ren, Y. Li, L. Yang, X. Wang, High-strength and crack-free welding of 2024 aluminium alloy via Zr-core-Al-shell wire, Nat. Commun. 15(1) (2024)
work page 2024
-
[14]
Z.H. Lai, S. Xu, S.J. Clark, K. Fezzaa, J. Li, Unveiling mechanisms and onset threshold of humping in high-speed laser welding, Nat. Commun. 15(1) (2024) 9546
work page 2024
-
[15]
H. Shen, Z. Yang, C. Tian, H. Ren, X. Wei, High welding strength of fused silica and stainless steel by picosecond laser with large defocus, Ceram. Int. (2025)
work page 2025
- [16]
-
[17]
Ultrafast Laser Welding of Silicon,
M. Chambonneau, Q. Li, M. Blothe, et al., “Ultrafast Laser Welding of Silicon,” Adv. Photonics Res. 4(5), 2200300 (2023)
work page 2023
-
[18]
Transmission Laser Welding of Similar and Dissimilar Semiconductor Materials,
P. Sopeña, A. Wang, A. Mouskeftaras, et al., “Transmission Laser Welding of Similar and Dissimilar Semiconductor Materials,” Laser Photonics Rev. 16(11), 2200208 (2022)
work page 2022
-
[19]
D. Tan, B. Zhang, J. Qiu, Ultrafast laser direct writing in glass: Thermal accumulation engineering and applications, Laser Photon. Rev. 15(9) (2021)
work page 2021
-
[20]
Richter, S., Zimmermann, F., Eberhardt, R., Tünnermann, A. & Nolte, S. Laser welding of glasses at high repetition rates fundamentals and prospects. Opt. Laser Technol.83, 59–66 (2016)
work page 2016
-
[21]
Zhang, G. & Cheng, G. Direct welding of glass and metal by 1 kHz femtosecond laser pulses. Appl. Opt.54, 8957–8961 (2015)
work page 2015
-
[22]
et al.Welding with ultrashort laser pulses: Recent developments at TRUMPF
Zimmermann, F. et al.Welding with ultrashort laser pulses: Recent developments at TRUMPF. Proc. SPIE11673, 69-74(2021)
work page 2021
-
[23]
X. Jia, J. Luo, K. Li, C. Wang, Z. Li, M. Wang, Z. Jiang, V.P. Veiko, J.A. Duan, Ultrafast laser welding of transparent materials: From principles to applications, Int. J. Extrem. Manuf. 7(3) (2025)
work page 2025
-
[24]
et al.Micro-welding of sapphire and metal by femtosecond laser
Pan, R., Yang, D., Zhou, T. et al.Micro-welding of sapphire and metal by femtosecond laser. Ceram. Int.49(13), 21384–21392 (2023)
work page 2023
-
[26]
S. Yoshitake, Y. Ito, N. Miyamoto, et al., “Ultrafast and large-gap microwelding of glass substrates by selective absorption of continuous-wave laser into transiently excited electrons,” CIRP Ann. 71(1), 157–160 (2022)
work page 2022
-
[27]
C. Ji, Y. Huang, X. Chen, et al., “Direct microwelding of dissimilar glass and Kovar alloy without optical contact using femtosecond laser pulses,” J. Cent. South Li et al. Light: Advanced Manufacturing 29 / 31 Univ. 29(10), 3422–3435 (2022)
work page 2022
-
[28]
The effect of gap on the quality of glass-to-glass welding using a picosecond laser,
J. Zhang, S. Chen, H. Lu, et al., “The effect of gap on the quality of glass-to-glass welding using a picosecond laser,” Opt. Lasers Eng. 134, 106248 (2020)
work page 2020
-
[29]
Li, N. et al.Ultrafast laser direct welding of sapphire and Invar under non-optical contact conditions with white-light-interferometric gap measurement. Opt. Express33(23), 49661–49669 (2025)
work page 2025
-
[30]
M. Yang, Q. Jiang, X. Zhang, et al., “Effects of surface roughness on the microstructure and mechanical properties of dissimilar sapphire/Invar36 alloy joints made by ultrashort pulsed laser micro-welding,” J. Laser Appl. 36(3), 032021 (2024)
work page 2024
-
[31]
Ultrastable bonding of glass with femtosecond laser laser bursts,
F. Zimmermann, S. Richter, S. Döring, et al., “Ultrastable bonding of glass with femtosecond laser laser bursts,” Appl. Opt. 52(6), 1149–1154 (2013)
work page 2013
-
[32]
X. Li, X. Xu, X. Tang, M. Liu, S. Li, G. Wang, L. Li, Study on microstructure and mechanical properties of femtosecond laser welding of non-optical contact quartz glass and Zr-4, Mater. Lett. 382 (2025)
work page 2025
-
[33]
Q. Li, G. Matthäus, S. Nolte, Glass to copper direct welding with a rough surface by femtosecond laser pulse bursts, Lasers Manuf Conf. (2021)
work page 2021
- [34]
- [35]
-
[36]
et al.Direct welding of diamond and glass using burst mode femtosecond pulses, Opt
Chen, W. et al.Direct welding of diamond and glass using burst mode femtosecond pulses, Opt. Express33(12), 26681–26689 (2025)
work page 2025
-
[37]
et al.Tailoring sapphire–invar welds using burst femtosecond ,laser
Jia, X., Chen, Y., Yi, Z. et al.Tailoring sapphire–invar welds using burst femtosecond ,laser. Light: Advanced Manufacturing7, 1–17 (2026)
work page 2026
-
[38]
S. Kim and G. Kim, “Thickness-profile measurement of transparent thin-film layers by white-light scanning interferometry,” Appl. Opt. 38(28), 5968–5973 Li et al. Light: Advanced Manufacturing 30 / 31 (1999)
work page 1999
-
[39]
Dobrovinskaya, E. R., Lytvynov, L. A. & Pishchik, V. Sapphire: material, manufacturing, applications. (Springer Science & Business Media, 2009)
work page 2009
-
[40]
Mills, K. C., Keene, B. J., Brooks, R. F. et al.Marangoni effects in welding. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.356(1739), 911–925 (1998)
work page 1998
-
[41]
Liu, T., Wei, H., Wu, J., Lu, J. & Zhang, Y. Modulation of crack formation inside single-crystal sapphire using Ultrafast laser Bessel beams. Opt. Laser Technol.136, 106778 (2021)
work page 2021
-
[42]
Tongwei, L., Haoxing, T., Xin, D. et al.Crystallographic dependence of Ultrafast laser induced crack generation in single-crystal sapphire. Vacuum240, 114528 (2025)
work page 2025
-
[43]
Gross, D. & Seelig, T. Fracture Mechanics with an introduction to micromechanics. (Springer, 2011)
work page 2011
-
[44]
Coherence scanning interferometry
Su, R. Coherence scanning interferometry. In Advances in Optical Surface Texture Metrology(IOP Publishing, 2020), pp. 2-1–2-27
work page 2020
-
[45]
J. Huo, Z. Zeng, J. Yuan, M. Luo, A. Luo, J. Li, H. Yang, N. Zhao, Q. Zhang, Welding between rough copper foil and silica glass using green femtosecond laser, Opt. Laser Technol. 181 110054 (2025)
work page 2025
- [46]
- [47]
-
[48]
Li, Q. et al. Direct Glass-to-Metal Welding by Femtosecond Laser Pulse Bursts: II, Enhancing the Weld Between Glass and Polished Metal Surfaces. Nanomaterials 15, 1215 (2025)
work page 2025
-
[49]
Li, W. et al. Femtosecond laser welding of non-optical-contact ceramic and Li et al. Light: Advanced Manufacturing 31 / 31 fused silica. Opt. Lett. 51, 532 (2026)
work page 2026
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.