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Laser prepulse-induced deformation dynamics in tin microdroplets for extreme ultraviolet light source applications

Qi Min1,2,*, Chaowei He1, Haidong Lu1, Xingbang Liu1, Maogen Su1,2,†, and Chenzhong Dong1,2,‡

  • 1Key Laboratory of Atomic and Molecular Physics & Functional Material of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • 2Gansu International Scientific and Technological Cooperation Base of Laser Plasma Spectroscopy, Lanzhou 730070, China

  • *Contact author: mq_lpps@nwnu.edu.cn
  • †Contact author: sumg@nwnu.edu.cn
  • ‡Contact author: dongcz@nwnu.edu.cn

Phys. Rev. Research 7, 043155 – Published 12 November, 2025

DOI: https://doi.org/10.1103/3v34-2f14

Abstract

This paper presents a detailed numerical investigation of the deformation dynamics of spherical tin (Sn) microdroplets under the action of laser prepulses, which is an essential process for optimizing extreme ultraviolet (EUV) lithography targets. A hybrid simulation method is developed, combining a single-fluid radiation hydrodynamics model for laser-produced plasmas with a two-phase flow model that incorporates surface tension effects. Two distinct scenarios are analyzed using this hybrid approach: nanosecond and picosecond prepulses, each characterized by markedly different energy deposition and deformation mechanisms. The simulations capture the full deformation process from initial laser impact to the capillary timescale, reproducing target morphologies that show good agreement with experimental observations. Detailed quantitative analyses of droplet expansion rates and geometries are also provided. Finally, the impact of the predeformed targets on EUV emission performance is evaluated by simulating the interaction of a CO2 main pulse with the deformed structures. This study offers significant insights into laser-droplet interactions and contributes to the development of precise control strategies for optimizing EUV target shaping.

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References (44)

  1. V. Bakshi (ed.), EUV Lithography, 2nd ed. (SPIE Press, Bellingham, Washington, 2018).
  2. O. O. Versolato, Physics of laser-driven tin plasma sources of EUV radiation for nanolithography, Plasma Sources Sci. Technol. 28, 083001 (2019).
  3. O. O. Versolato, J. Sheil, S. Witte, W. Ubachs, and R. Hoekstra, Microdroplet-tin plasma sources of EUV radiation driven by solid-state-lasers (Topical Review), J. Opt. 24, 054014 (2022).
  4. S. Fujioka, M. Shimomura, Y. Shimada, S. Maeda, H. Sakaguchi, Y. Nakai, T. Aota, H. Nishimura, N. Ozaki, A. Sunahara, K. Nishihara, N. Miyanaga, Y. Izawa, and K. Mima, Pure-tin microdroplets irradiated with double laser pulses for efficient and minimum-mass extreme-ultraviolet light source production, Appl. Phys. Lett. 92, 241502 (2008).
  5. F. Torretti, J. Sheil, R. Schupp, M. M. Basko, M. Bayraktar, R. A. Meijer, S. Witte, W. Ubachs, R. Hoekstra, O. O. Versolato, A. J. Neukirch, and J. Colgan, Prominent radiative contributions from multiply-excited states in laser-produced tin plasma for nanolithography, Nat. Commun. 11, 2334 (2020).
  6. J. Sheil, O. O. Versolato, A. J. Neukirch, and J. Colgan, Multiply-excited states and their contribution to opacity in laser-driven tin-plasma conditions, J. Phys. B At. Mol. Opt. Phys. 54, 035002 (2021).
  7. G. O’Sullivan, B. W. Li, R. D’Arcy, P. Dunne, P. Hayden, D. Kilbane, T. McCormack, H. Ohashi, F. O’Reilly, P. Sheridan, E. Sokell, C. Suzuki, and T. Higashiguchi, Spectroscopy of highly charged ions and its relevance to EUV and soft x-ray source development, J. Phys. B At. Mol. Opt. Phys. 48, 144025 (2015).
  8. D. Hudgins and R. S. Abhari, Rupture time of droplets impacted by a burst of picosecond laser pulses, Phys. Rev. E 99, 031102(R) (2019).
  9. D. Hudgins, N. Gambino, B. Rollinger, and R. Abhari, Neutral cluster debris dynamics in droplet-based laser-produced plasma sources, J. Phys. D Appl. Phys. 49, 185205 (2016).
  10. J. Hernandez-Rueda, B. Liu, D. J. Hemminga, Y. Mostafa, R. A. Meijer, D. Kurilovich, M. Basko, H. Gelderblom, J. Sheil, and O. O. Versolato, Early-time hydrodynamic response of a tin droplet driven by laser-produced plasma, Phys. Rev. Res. 4, 013142 (2022).
  11. M. S. Krivokorytov, A. Y. Vinokhodov, Y. V. Sidelnikov, V. M. Krivtsun, V. O. Kompanets, A. A. Lash, K. N. Koshelev, and V. V. Medvedev, Cavitation and spallation in liquid metal droplets produced by subpicosecond pulsed laser radiation, Phys. Rev. E 95, 031101(R) (2017).
  12. S. Y. Grigoryev, B. V. Lakatosh, M. S. Krivokorytov, V. V. Zhakhovsky, S. A. Dyachkov, D. K. Ilnitsky, K. P. Migdal, N. A. Inogamov, A. Y. Vinokhodov, V. O. Kompanets, Y. V. Sidelnikov, V. M. Krivtsun, K. N. Koshelev, and V. V. Medvedev, Expansion and fragmentation of a liquid-metal droplet by a short laser pulse, Phys. Rev. Appl. 10, 064009 (2018).
  13. D. Kurilovich, T. D. Pinto, F. Torretti, R. Schupp, J. Scheers, A. S. Stodolna, H. Gelderblom, K. S. E. Eikema, S. Witte, W. Ubachs, R. Hoekstra, and O. O. Versolato, Expansion dynamics after laser-induced cavitation in liquid tin microdroplets, Phys. Rev. Appl. 10, 054005 (2018).
  14. M. M. Basko, M. S. Krivokorytov, A. Y. Vinokhodov, Y. V. Sidelnikov, V. M. Krivtsun, V. V. Medvedev, D. A. Kim, V. O. Kompanets, A. A. Lash, and K. N. Koshelev, Fragmentation dynamics of liquid-metal droplets under ultra-short laser pulses, Laser Phys. Lett. 14, 036001 (2017).
  15. B. Liu, D. Kurilovich, H. Gelderblom, and O. O. Versolato, Mass loss from a stretching semitransparent sheet of liquid tin, Phys. Rev. Appl. 13, 024035 (2020).
  16. D. Kurilovich, A. L. Klein, F. Torretti, A. Lassise, R. Hoekstra, W. Ubachs, H. Gelderblom, and O. O. Versolato, Plasma propulsion of a metallic microdroplet and its deformation upon laser impact, Phys. Rev. Appl. 6, 014018 (2016).
  17. D. Kurilovich, M. M. Basko, D. A. Kim, F. Torretti, R. Schupp, J. C. Visschers, J. Scheers, R. Hoekstra, W. Ubachs, and O. O. Versolato, Power-law scaling of plasma pressure on laser-ablated tin microdroplets, Phys. Plasmas 25, 012709 (2018).
  18. R. A. Meijer, D. Kurilovich, K. S. E. Eikema, O. O. Versolato, and S. Witte, The transition from short- to long-timescale pre-pulses: Laser-pulse impact on tin microdroplets, J. Appl. Phys. 131, 105905 (2022).
  19. R. A. Meijer, R. Schupp, J. Sheil, M. M. Basko, K. S. E. Eikema, O. O. Versolato, and S. Witte, Spall-velocity reduction in double-pulse impact on tin microdroplets, Phys. Rev. Appl. 16, 024026 (2021).
  20. S. A. Reijers, D. Kurilovich, F. Torretti, H. Gelderblom, and O. O. Versolato, Laser-to-droplet alignment sensitivity relevant for laser-produced plasma sources of extreme ultraviolet light, J. Appl. Phys. 124, 013102 (2018).
  21. H. Gelderblom, H. Lhuissier, A. L. Klein, W. Bouwhuis, D. Lohse, E. Villermaux, and J. H. Snoeijer, Drop deformation by laser-pulse impact, J. Fluid Mech. 794, 676 (2016).
  22. S. A. Reijers, J. H. Snoeijer, and H. Gelderblom, Droplet deformation by short laser-induced pressure pulses, J. Fluid Mech. 828, 374 (2017).
  23. A. L. Klein, D. Kurilovich, H. Lhuissier, O. O. Versolato, D. Lohse, E. Villermaux, and H. Gelderblom, Drop fragmentation by laser-pulse impact, J. Fluid Mech. 893, A7 (2020).
  24. B. Liu, J. Hernandez-Rueda, H. Gelderblom, and O. O. Versolato, Speed of fragments ejected by an expanding liquid tin sheet, Phys. Rev. Fluids 7, 083601 (2022).
  25. T. D. Pinto, J. Mathijssen, R. Meijer, H. Zhang, A. Bayerle, D. Kurilovich, O. O. Versolato, K. S. E. Eikema, and S. Witte, Cylindrically and non-cylindrically symmetric expansion dynamics of tin microdroplets after ultrashort laser pulse impact, Appl. Phys. A 127, 93 (2021).
  26. P. Koukouvinis, N. Kyriazis, and M. Gavaises, Smoothed particle hydrodynamics simulation of a laser pulse impact onto a liquid metal droplet, PLoS One 13, e0204125 (2018).
  27. Q. Min, Z. Y. Xu, S. Q. He, H. D. Lu, X. B. Liu, R. Z. Shen, Y. H. Wu, Q. K. Pan, C. X. Zhao, F. Chen, M. G. Su, and C. Z. Dong, RHDLPP: A multigroup radiation hydrodynamics code for laser-produced plasmas, Comput. Phys. Commun. 302, 109242 (2024).
  28. V. Sizyuk, T. Sizyuk, and A. Hassanein, Temporal pre-pulse shaping in dual pulse laser produced plasma for the optimization of the EUV source in tin microdroplet system, J. Appl. Phys. 135, 093101 (2024).
  29. G. Nykteri and M. Gavaises, Numerical modeling of droplet rim fragmentation by laser-pulse impact using a multiscale two-fluid approach, Phys. Rev. Fluids 7, 103604 (2022).
  30. I. Y. Vichev, D. A. Kim, and V. V. Medvedev, Modeling of liquid metal droplet deformation by laser impact, arXiv:2311.01384.
  31. K. Schmidmayer, F. Petitpas, S. Le Martelot, and É. Daniel, ECOGEN: An open-source tool for multiphase, compressible, multiphysics flows, Comput. Phys. Commun. 251, 107093 (2020).
  32. J. I. Castor, Radiation Hydrodynamics (Cambridge University Press, Cambridge, 2004).
  33. M. M. Basko and I. P. Tsygvintsev, A hybrid model of laser energy deposition for multi-dimensional simulations of plasmas and metals, Comput. Phys. Commun. 214, 59 (2017).
  34. R. M. More, K. H. Warren, D. A. Young, and G. B. Zimmerman, A new quotidian equation of state (QEOS) for hot dense matter, Phys. Fluids 31, 3059 (1988).
  35. Q. Min, R. Z. Shen, M. G. Su, H. D. Lu, S. Q. He, X. B. Liu, Y. Li, Q. Q. Tao, Y. H. Wu, D. X. Sun, S. Q. Cao, and C. Z. Dong, Two-dimensional axisymmetric radiation hydrodynamics model of moderate-intensity nanosecond laser-produced plasmas, J. Phys. D Appl. Phys. 55, 505205 (2022).
  36. H. K. Chung, M. H. Chen, W. L. Morgan, Y. Ralchenko, and R. W. Lee, FLYCHK: Generalized population kinetics and spectral model for rapid spectroscopic analysis for all elements, High Energy Density Phys. 1, 3 (2005).
  37. A. F. Nikiforov, V. G. Novikov, and V. B. Uvarov, Quantum-Statistical Models of Hot Dense Matter: Methods for Computation Opacity and Equation of State (Birkhäuser, Basel, 2005).
  38. S. LeMartelot, B. Nkonga, and R. Saurel, Liquid and liquid-gas flows at all speeds, J. Comput. Phys. 255, 53 (2013).
  39. A. K. Kapila, R. Menikoff, J. B. Bdzil, S. F. Son, and D. S. Stewart, Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Phys. Fluids 13, 3002 (2001).
  40. R. Saurel, P. Fabien, and R. A. Berry, Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, J. Comput. Phys. 228, 1678 (2009).
  41. K. Schmidmayer, F. Petitpas, E. Daniel, N. Favrie, and S. Gavrilyuk, A model and numerical method for compressible flows with capillary effects, J. Comput. Phys. 334, 468 (2017).
  42. K. Tomita, Y. Pan, A. Sunahara, K. Kouge, H. Mizoguchi, and K. Nishihara, Observation of plasma inflows in laser-produced Sn plasma and their contribution to extreme-ultraviolet light output enhancement, Sci. Rep. 13, 1825 (2023).
  43. Y. B. Zel’dovich and Y. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Dover Publications, Mineola, New York, 2012).
  44. Q. Min, G. D. Wang, C. W. He, S. Q. He, H. D. Lu, X. B. Liu, Y. H. Wu, M. G. Su, and C. Z. Dong, Numerical simulation of state parameter distributions and extreme ultraviolet radiation in laser-produced tin plasma, Acta Phys. Sin. 74, 033201 (2025).

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