Theoretical and experimental analysis of Rayleigh–Taylor instability and Marangoni convection in copper foil under laser irradiation

Keywords: Rayleigh–Taylor instability, Marangoni convection, laser ablation, copper plasma, surface morphology, electron density, spectroscopic diagnostics

Abstract

This study investigates the physical phenomena occurring on the surface of copper foil under high-intensity pulsed irradiation of a Nd: YAG laser, (λ = 1064nm, τ = 28ps), with particular focus on plasma formation, Rayleigh–Taylor (RT) instability, and the influence of Marangoni convection on crater morphology. The plasma temperature and electron density are determined using experimental methods through spectral emission lines. These parameters evaluate the pressure gradient in the plasma, temperature variations, and changes in surface tension. The RT instability is modeled based on density contrasts arising under strong pressure differentials, while Marangoni convection is described as a mechanism for surface flow formation driven by temperature gradients. The paper analyzes the interplay between these two instabilities, their role in material redistribution, and their influence on the final geometric shape of the laser-induced crater, supported by theoretical calculations and spectroscopic measurements. The results contribute to a deeper understanding of the complex thermohydrodynamic processes involved in laser ablation.

Downloads

Download data is not yet available.

References

Japakov A. I. et al. ”The impact of laser radiation frequency on the formation of the main characteristics of ions in a mono-element laser plasma,” EPJ Web of Conferences, EDP Sciences, 318, 05002 (2025). https://doi.org/10.1051/epjconf/202531805002

Japakov A. I. et al. ”Spectra of multiply charged ions in laser plasma formed from gas-containing targets,”East European Journal of Physics, (3), 490-494 (2023). https://doi.org/10.26565/2312-4334-2023-3-55

Ruziev Z. et al. ”Surface ionization of diamond by femtosecond laser pulses: A comparative study of analytical models,” Results in Optics, 23, 100942 (2026). https://doi.org/10.1016/j.rio.2025.100942

Lian B. et al. ”Research and experimentation on acoustic monitoring technology for laser drilling penetration,” Micromachines, 16(4), 475 (2025). https://doi.org/10.3390/mi16040475

Hayasaki Y., and Miura T. ”Femtosecond laser drilling controlled with laser-generated ultrasound pressure,” Applied Physics B, 130(12), 220 (2024). https://doi.org/10.1007/s00340-024-08355-1

Sheng L. et al. ”Investigation on cutting of CFRP composite by nanosecond short-pulsed laser with rotary drilling method,” Science and Engineering of Composite Materials, 32(1), 20240047 (2025). https://doi.org/10.1515/secm-2024-0047

Boltaev G. S. et al. ”Impact of plasma conditions on the shape of femtosecond laser-induced surface structures of Ti and Ni,” Applied Physics A, 128(6), 488 (2022). https://doi.org/10.1007/s00339-022-05614-w

Eshchanov B. X. et al. ”Ultrafast laser nanostructured silicon coated with silver nanoparticles for efficient SERS detection of R6G,” Applied Physics A, 132(2), 111 (2026). https://doi.org/10.1007/s00339-025-09179-2

Vapaev M. E. et al. ”Laser fluence-dependent LIPSS formed on the surface of niobium alloys,” EPJ Web of Conferences. – EDP Sciences, 318, 05005 (2025). https://doi.org/10.1051/epjconf/202531805005

S. Singh, B. Vidhani, S. Yogi, A. Tyagi, S. Kumar, and S.K. Meena, Plasma waves and Rayleigh–Taylor instability: Theory and application, Plasma Science-Recent Advances, New Perspectives and Applications, (IntechOpen, 2023). https://doi.org/10.5772/intechopen.109965

Hu K. et al., ”Thermal-fluid modeling and physics-informed machine learning for predicting molten pool depth in single-layer multi-track fiber laser cladding,” The International Journal of Advanced Manufacturing Technology, 135(7), 3591-3613 (2024). https://doi.org/10.1007/s00170-024-14706-1

Zheng G. et al. ”A linearized hydrodynamic code for laser ablation and its application to laser pulse shaping for direct-drive fusion,” Physics of Plasmas, 31(10), 102705 (2024). https://doi.org/10.1063/5.0225382

Dai D. et al. ”Role of angular velocity on Marangoni convection shifting, heat accumulation, and microstructure evolution using laser directed energy deposition,” Journal of Applied Physics, 135, 053105 (2024). https://doi.org/10.1063/5.0187045

Bryukhovetsky V. V. et al. ”Formation mechanism of craters on the surface of AA6111 aluminum alloy irradiated by quasirelativistic high-current electron beam,” Vacuum, 215, 112263 (2023). https://doi.org/10.1016/j.vacuum.2023.112263

Zhong H. et al. ”Dynamic mechanism of crater formation induced by inclusion during intense pulsed ion beam irradiation,” Vacuum, 179, 109541 (2020). https://doi.org/10.1016/j.vacuum.2020.109541

Tojinazarov F. et al. ”Picosecond laser drilling grids in aluminium foil at 532 and 355 nm wavelengths,” Engineering Research Express, 6(1), 015050 (2024). https://doi.org/10.1088/2631-8695/ad1ea3

Akhmedov M. et al. ”Picosecond-pulsed laser ablation of aluminum foils: crater morphology and plasma parameters,” Engineering Research Express, 7(3), 035362 (2025). https://doi.org/10.1088/2631-8695/ae0092

Akhmedov M. et al. ”Effects of picosecond pulsed laser radiation on crater formation on copper foil surfaces,” Engineering Research Express, 8(3), 035401 (2026). https://doi.org/10.1088/2631-8695/ae3b9d

Akhmedov M. et al. ”Self-regulated crater formation governed by electron density in picosecond Nd: YAG laser-induced molybdenum plasma,” Journal of Russian Laser Research, 1-15 (2026). https://doi.org/10.1007/s10946-026-10318-0

Sadullayev J. O. et al. ”Modeling of Thermal Effects in a Polyimide Target Under Pulsed Laser Irradiation,” East European Journal of Physics, (1), 274-280 (2026). https://doi.org/10.26565/2312-4334-2026-1-31

Sadullayev J. O. et al. ”Finite Element Modeling of Scanning Speed Effects in Femtosecond Laser-Induced Graphene Fabrication,” East European Journal of Physics, (2), 352-360 (2026). https://doi.org/10.26565/2312-4334-2026-2-37

Ajith A. et al. ”Comprehensive analysis of copper plasma: A laser-induced breakdown spectroscopic approach,” Photonics, MDPI, 10(2), 199 (2023). https://doi.org/10.3390/photonics10020199

Isaev M. S. et al. ”The Surface Layer Morphology of Si¡ Cr¿ Samples,” East European Journal of Physics, (4), 297-300 (2024). https://doi.org/10.26565/2312-4334-2024-4-32

Isaev M. S. et al. ”Study of the Inhomogeneities of Overcompensed Silicon Samples Doped with Manganese,” East European

Journal of Physics, (2), 341-344 (2024). https://doi.org/10.26565/2312-4334-2024-2-40

Mamadalimov A. T. et al. ”Study of Silicide Formation in Large Diameter Monocrystalline Silicon,” East European Journal of Physics, (2), 366-371 (2024). https://doi.org/10.26565/2312-4334-2024-2-45

Mustafoqulov A. et al. ”Angular displacement measurement and control sensors of agricultural robot-manipulators,” BIO Web of Conferences. – EDP Sciences, 105, 03003 (2024). https://doi.org/10.1051/bioconf/202410503003

Boboev A. Y. et al. ”SRIM simulation of irradiation damage by protons in ZnO: S compound,” Journal of Ovonic Research, 216, 781–788 (2025). https://doi.org/10.15251/JOR.2025.216.781

Boboev, A. Y., Karimberdiev, U., Kadirov, S., Yunusaliyev, N. Y. ”Growth of Solid Solutions (Ge2)(GaAs1-δBiδ)x(ZnSe)y on Silicon Substrates by Liquid Phase Epitaxy,” Chalcogenide Letters, 22(11), 951-957 (2025). https://doi.org/10.15251/CL.2025.2211.951

Mamadalimov A. T. et al. ”Comparative Analysis of the Properties of Manganese Silicide,” Journal of Nano- and Electronic Physics, 17(5), 05011 (2025). https://doi.org/10.21272/jnep.17(5).05011

Qodirov S. R. U., and Davletov I. Y. ”Improving thinking and imagining skills in school students by training the physics using simulations,” AIP Conference Proceedings, 3268(1), 060006 (2025). https://doi.org/10.1063/5.0257234

Davletov I. et al. ”Soft start of induction electric motors using rezistor and denistor devices,” E3S Web of Conferences. – EDP Sciences, 461, 01066 (2023). https://doi.org/10.1051/e3sconf/202346101066

Davletov I. Y. et al. ”Increasing the Efficiency of Asynchronous Motors by Improving the Quality of the Electric Current,” in: 2023 IEEE XVI International Scientific and Technical Conference Actual Problems of Electronic Instrument Engineering (APEIE), (IEEE, 2023). pp. 1820-1824. https://doi.org/10.1109/APEIE59731.2023.10347842

Kramida A., Ralchenko Y., and Reader J. ”National Institute of Standards and Technology (NIST),” Atomic Spectra Database. 2022. https://physics.nist.gov/PhysRefData/ASD/lines form.html

Griem H. R. ”Plasma spectroscopy in inertial confinement fusion and soft x-ray laser research,” Physics of Fluids B: Plasma Physics, 4(7), 2346-2361 (1992). https://doi.org/10.1063/1.860205

Sahal-Br´echot S., Dimitrijevi´c M. S., and Ben Nessib N. ”Widths and shifts of isolated lines of neutral and ionized atoms perturbed by collisions with electrons and ions: An outline of the semiclassical perturbation (SCP) method and of the approximations used for the calculations,” Atoms, 2(2), 225-252 (2014). https://doi.org/10.3390/atoms2020225

Harilal S. S. et al. ”Optical diagnostics of laser-produced plasmas,” Reviews of modern Physics, 94(3), 035002 (2022). https://doi.org/10.1103/RevModPhys.94.035002

Fikry M., Tawfik W., and Omar M. M. ”Investigation on the effects of laser parameters on the plasma profile of copper using picosecond laser induced plasma spectroscopy,” Optical and Quantum Electronics, 52(5), 249 (2020). https://doi.org/10.1007/s11082-020-02381-x

Zhang Z. et al. ”Rule of the pulse energy from ground-based lasers for the laser ablation propulsion in space,” Optics Express, 33(6), 13439-13454 (2025). https://doi.org/10.1364/OE.554720

Mohajan S., Beier N. F., and Hussein A. E. ”Investigating crater formation in nanosecond laser ablation of aluminum foils,” Journal of Applied Physics, 136(2), 023102 (2024). https://doi.org/10.1063/5.0212660

Suchandra P., and Ranjan D. ”Dynamics of multilayer Rayleigh–Taylor instability at moderately high Atwood numbers,” Journal of Fluid Mechanics, 974, A35 (2023). https://doi.org/10.1017/jfm.2023.689

Zhou Y. ”Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II,” Physics Reports, 723, 1-160 (2017). https://doi.org/10.1016/j.physrep.2017.07.008

Xi C., and Xin T. ”Heat transfer to a particle exposed to a rarefied plasma with a great temperature gradient,” Journal of Thermal Science, 2(2), 135-142 (1993). https://doi.org/10.1007/BF02718269

SunW. et al. ”Numerical study of the effect of a magnetic field on Rayleigh-Taylor instability with different density disturbances,” Frontiers in Physics, 11, 1203081 (2023). https://doi.org/10.3389/fphy.2023.1203081

Martins I. T., G´omez L. C., and Alvari˜no P. F. ”Parametric investigation of Rayleigh–Taylor instability under experimental conditions with the lattice Boltzmann method,” Physics of Fluids, 37(2), 024131 (2025). https://doi.org/10.1063/5.0256018

Onoda K., and Nanzai B. ”Marangoni Convection Velocity in Nonlinear Hanging-Droplet Vibration Phenomena,” Processes, 12(3), 609 (2024). https://doi.org/10.3390/pr12030609

Lin F. et al. ”Marangoni convection-driven laser fountains on free surfaces of liquids,” Materials Today Physics, 21, 100558 (2021). https://doi.org/10.1016/j.mtphys.2021.100558

Published
2026-09-07
Cited
How to Cite
Akhmedov, M., Sadullayev, J., Vapayev, M., Babayazova, N., Matnazarov, A., Davletov, I., JumaniyazovaМ., Ozodov, R., Ismatov, B., & Matchanova, F. (2026). Theoretical and experimental analysis of Rayleigh–Taylor instability and Marangoni convection in copper foil under laser irradiation. East European Journal of Physics, (3), 526-538. https://doi.org/10.26565/2312-4334-2026-3-48