- Open Access
Dynamic phase-driven cascade focusing and acceleration of subrelativistic electrons in on-chip inverse-Cherenkov particle accelerators
Phys. Rev. Accel. Beams 29, 083602 – Published 11 August, 2026
DOI: https://doi.org/10.1103/d2ff-sq6k
Abstract
The inverse-Cherenkov dielectric laser accelerator (ICR-DLA) holds great promise as a compact, on-chip accelerator for a wide range of future applications. However, two significant challenges—bunch dispersion/deflection and phase slippage—have hindered its development in the subrelativistic regime. In this paper, we propose an approach that addresses both issues simultaneously by utilizing a single laser pulse to illuminate a staged dielectric prism. Our method leverages the phase slippage experienced by subrelativistic electrons during high-gradient acceleration, allowing these electrons to encounter alternating focusing and defocusing forces throughout the acceleration process. This technique enables stable, long-range bunch transport within a miniaturized acceleration channel. We show that cascading focusing and acceleration of subrelativistic electrons can be achieved in a multistage acceleration structure, laying a foundation to bridge the gap between subrelativistic and relativistic regimes, which is crucial for the realization of a practical on-chip particle accelerator.
Physics Subject Headings (PhySH)
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References (39)
- S. V. Kutsaev, Advanced technologies for applied particle accelerators and examples of their use, Tech. Phys. 66, 161 (2021).
- V. N. Starovoitova, L. Tchelidze, and D. P. Wells, Production of medical radioisotopes with linear accelerators, Appl. Radiat. Isotopes 85, 39 (2014).
- W. P. Levin, H. Kooy, J. S. Loeffler, and T. F. DeLaney, Proton beam therapy, Br. J. Cancer 93, 849 (2005).
- T. D. Malouff, A. Mahajan, S. Krishnan, C. Beltran, D. S. Seneviratne, and D. M. Trifiletti, Carbon ion ther apy: A modern review of an emerging technology, Front. Oncol. 10, 82 (2020).
- J. S. Loeffler and M. Durante, Charged particle ther apy—optimization, challenges and future directions, Nat. Rev. Clin. Oncol. 10, 411 (2013).
- K. Hossain, Y. A. Maruthi, N. L. Das, K. P. Rawat, and K. S. S. Sarma, Irradiation of wastewater with electron beam is a key to sustainable smart/green cities: A review, Appl. Water Sci. 8, 1 (2018).
- P. A. Bystrov, Y. S. Pavlov, O. V. Souvorova, and I. Y. Yakupov, Formation of irradiation beams on accelera- tor UELV-10-10-70 for research of the radiation resistance of polymers, Radiat. Phys. Chem. 161, 83 (2019).
- F. Lin, Y. Liu, X. Yu, L. Cheng, A. Singer, O. G. Shpyrko, H. L. Xin, N. Tamura, C. Tian, T.-C. Weng, X.-Q. Yang, Y. S. Meng, D. Nordlund, W. Yang, and M. M. Doeff, Synchrotron x-ray analytical techniques for studying materials electrochemistry in rechargeable batteries, Chem. Rev. 117, 13123 (2017).
- T. P. Wangler, RF Linear Accelerators (John Wiley & Sons, New York, 2008).
- J. Rosenzweig and L. Serafini, Transverse particle motion in radio-frequency linear accelerators, Phys. Rev. E 49, 1599 (1994).
- G. Ciovati, Effect of low-temperature baking on the radio-frequency properties of niobium superconducting cavities for particle accelerators, J. Appl. Phys. 96, 1591 (2004).
- W. D. Kimura, G. H. Kim, R. D. Romea, L. C. Steinhauer, I. V. Pogorelsky, K. 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).
- T. B. Zhang and T. C. Marshall, A microwave inverse Cherenkov accelerator (MICA), Nucl. Instrum. Methods Phys. Res. Sect. A 375, 614 (1996).
- K. Shimoda, Proposal for an electron accelerator using an optical maser, Appl. Opt. 1, 33 (1962).
- E. A. Peralta, K. Soong, R. J. England, E. R. Colby, Z. Wu, B. Montazeri, C. McGuinness, J. McNeur, K. J. Leedle, D. Walz, E. B. Sozer, B. Cowan, B. Schwartz, G. Travish, and R. L. Byer, Demonstration of electron acceleration in a laser-driven dielectric microstructure, Nature (London) 503, 91 (2013).
- J. Breuer and P. Hommelhoff, Laser-based acceleration of nonrelativistic electrons at a dielectric structure, Phys. Rev. Lett. 111, 134803 (2013).
- U. Niedermayer, O. Boine-Frankenheim, and T. Egenolf, Designing a dielectric laser accelerator on a chip, in Journal of Physics: Conference Series (IOP Publishing, 2017), Vol. 874, p. 012041.
- J. Breuer and P. Hommelhoff, Dielectric laser accelera tion of 28 keV electrons with the inverse Smith–Purcell effect, Nucl. Instrum. Methods Phys. Res. Sect. A 740, 114 (2014).
- N. Talebi, Schrödinger electrons interacting with optical gratings: Quantum mechanical study of the inverse Smith–Purcell effect, New J. Phys. 18, 123006 (2016).
- 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).
- 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).
- 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).
- 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).
- A. Hanuka and L. Schächter, Operation regimes of a dielectric laser accelerator, Nucl. Instrum. Methods Phys. Res. Sect. A 888, 147 (2018).
- A. Hanuka and L. Schächter, Optimized operation of dielectric laser accelerators: Single bunch, Phys. Rev. Accel. Beams 21, 054001 (2018).
- J. Breuer, J. McNeur, and P. Hommelhoff, Dielectric laser acceleration of electrons in the vicinity of single and double grating structures—theory and simulations, J. Phys. B 47, 234004 (2014).
- K. P. Wootton, Z. Wu, B. M. Cowan, A. Hanuka, I. V. Makasyuk, E. A. Peralta, K. Soong, R. L. Byer, and R. Joel England, Demonstration of acceleration of relativistic electrons at a dielectric microstructure using femtosecond laser pulses, Opt. Lett. 41, 2696 (2016).
- J. Breuer and P. Hommelhoff, Laser-based acceleration of nonrelativistic electrons at a dielectric structure, Phys. Rev. Lett. 111, 134803 (2013).
- U. Niedermayer, T. Egenolf, O. Boine-Frankenheim, and P. Hommelhoff, Alternating-phase focusing for dielectric laser acceleration, Phys. Rev. Lett. 121, 214801 (2018).
- U. Niedermayer, T. Egenolf, and O. Boine-Frankenheim, Three dimensional alternating-phase focusing for dielectric-laser electron accelerators, Phys. Rev. Lett. 125, 164801 (2020).
- 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).
- T. Chlouba, R. Shiloh, S. Kraus, L. Brückner, J. Litzel, and P. Hommelhoff, Coherent nanophotonic electron accelerator, Nature (London) 622, 476 (2023).
- R. Shiloh, J. Illmer, T. Chlouba, P. Yousefi, N. Schönenberger, U. Niedermayer, A. Mittelbach, and P. Hommelhoff, Electron phase-space control in photonic chip-based particle acceleration, Nature (London) 597, 498 (2021).
- 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).
- 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).
- L. Zhang, W. Liu, H. Xu, S. Liu, and Y. Lu, Synchronous acceleration of subrelativistic particles in an inverse-Cherenkov dielectric laser accelerator with tapered phase velocity, IEEE Trans. Plasma Sci. 51, 3484 (2023).
- H. Miao, L. Chen, M. Mirzaeimoghri, R. Kasica, and H. Wen, Cryogenic etching of high aspect ratio 400-nm pitch silicon gratings, J. Microelectromech. Syst. 25, 963 (2016).
- K. Soong, R. Byer, E. Colby, R. England, and E. Peralta, Laser damage threshold measurements of optical materials for direct laser accelerators, in AIP Conference Proceedings (American Institute of Physics, 2012), pp. 511–515.
- 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).