- Open Access
Resonant Excitation of Surface Plasmon for Wakefield Acceleration by Beating GW Lasers on Smooth Cylindrical Surface
Phys. Rev. Lett. 137, 105002 – Published 4 September, 2026
DOI: https://doi.org/10.1103/2dkn-db5z
Abstract
We present a theoretical and numerical study of resonant surface-plasmon (SP) excitation driven by the beating of two copropagating laser pulses on a smooth cylindrical plasma-vacuum interface. Analytical formulas for the SP dispersion relation, field amplitude, geometric coupling factor, and resonance conditions are derived and validated by fully three-dimensional particle-in-cell simulations. We show that the curvature-modified SP dispersion enables the optical beat wave to resonantly drive an axial SP wakefield that leaks into the vacuum channel. This enables a grating-free surface-plasmon phase-matching mechanism, which is not available on a smooth planar interface. Under matched resonance conditions, few-gigawatt (GW) lasers can drive tens of SP wakefields and initiate electron trapping, while tens to hundreds of GW drivers can reach sub- fields. It therefore opens a low-power, grating-free route toward portable laser-driven surface plasma wakefield accelerators.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (29)
- R. H. Ritchie, Plasma losses by fast electrons in thin films, Phys. Rev. 106, 874 (1957).
- R. W. Wood, XLII. On a remarkable case of uneven distribution of light in a diffraction grating spectrum, Philos. Mag. 4, 396 (1902).
- U. Fano, The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfeld’s waves), J. Opt. Soc. Am. 31, 213 (1941).
- A. Otto, Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection, Z. Phys. A 216, 398 (1968).
- X. F. Shen, A. Pukhov, and B. Qiao, Monoenergetic high-energy ion source via femtosecond laser interacting with a microtape, Phys. Rev. X 11, 041002 (2021).
- J. Sarma, A. McIlvenny, N. Das, M. Borghesi, and A. Macchi, Surface plasmon-driven electron and proton acceleration without grating coupling, New J. Phys. 24, 073023 (2022).
- A. McCay, A. McIlvenny, A. Macchi, L. Romagnani, P. Martin, O. Cavanagh, D. P. Molloy, L. Lancia, T. Dzelzainis, H. Ahmed, J. Sarma, S. Kar, D. Margarone, and M. Borghesi, Surface wave electron acceleration from flat foils at parallel laser incidence, Phys. Rev. Lett. 135, 145001 (2025).
- B. Lei, H. Zhang, D. Seipt, A. Bonatto, B. Qiao, J. Resta-López, G. Xia, and C. Welsch, Coherent synchrotron radiation by excitation of surface plasmon polariton on near-critical solid microtube surface, Phys. Rev. Lett. 135, 205001 (2025).
- B. Lei, H. Zhang, C. Bonţoiu, A. Bonatto, P. Martín-Luna, B. Liu, J. Resta López, G. Xia, and C. Welsch, Leaky surface plasmon-based wakefield acceleration in nanostructured carbon nanotubes, Plasma Phys. Controlled Fusion 67, 065036 (2025).
- G. I. Stegeman, R. F. Wallis, and A. A. Maradudin, Excitation of surface polaritons by end-fire coupling, Opt. Lett. 8, 386 (1983).
- L. Fedeli, A. Sgattoni, G. Cantono, D. Garzella, F. Réau, I. Prencipe, M. Passoni, M. Raynaud, M. Květoň, J. Proska, A. Macchi, and T. Ceccotti, Electron acceleration by relativistic surface plasmons in laser-grating interaction, Phys. Rev. Lett. 116, 015001 (2016).
- A. A. Sahai, Nanomaterials based nanoplasmonic accelerators and light-sources driven by particle-beams, IEEE Access 9, 54831 (2021).
- B. Lei, H. Zhang, C. Bonţoiu, A. Bonatto, J. Resta-López, G. Xia, B. Qiao, and C. Welsch, 100 s TeV/m-level particle accelerators driven by high-density electron beams in micro structured carbon nanotube forest channel, New J. Phys. 27, 084301 (2025).
- C. Bonţoiu, A. Bonatto, Ö. Apsimon, L. Bandiera, G. Cavoto, I. Drebot, G. Gatti, J. Giner-Navarro, B. Lei, P. Martín-Luna, I. Rago, J. Rodríguez Pérez, B. S. Nunes, A. Sytov, C. Valagiannopoulos, C. P. Welsch, G. Xia, J. Zhang, and J. Resta-López, Numerical study of self-injected electron acceleration in CNT structured targets driven by an 800 nm laser, Sci. Rep. 15, 45323 (2025).
- T. Tajima and M. Cavenago, Crystal x-ray accelerator, Phys. Rev. Lett. 59, 1440 (1987).
- X. Zhang, T. Tajima, D. Farinella, Y. Shin, G. Mourou, J. Wheeler, P. Taborek, P. Chen, F. Dollar, and B. Shen, Particle-in-cell simulation of x-ray wakefield acceleration and betatron radiation in nanotubes, Phys. Rev. Accel. Beams 19, 101004 (2016).
- M. Yu, H. H. Funke, J. L. Falconer, and R. D. Noble, High density, vertically-aligned carbon nanotube membranes, Nano Lett. 9, 225 (2009).
- G. Aliana-Cervera, D. Mattia, C. Pasquino, R. Veness, and A. J. G. Lunt, Carbon nanotube wires for accelerator applications, Mater. Des. 258, 114606 (2025).
- A. Lekosiotis, F. Belli, C. Brahms, M. Sabbah, H. Sakr, I. A. Davidson, F. Poletti, and J. C. Travers, On-target delivery of intense ultrafast laser pulses through hollow-core anti-resonant fibers, Opt. Express 31, 30227 (2023).
- E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys. 81, 1229 (2009).
- W. Horton and T. Tajima, Laser beat-wave accelerator and plasma noise, Phys. Rev. A 31, 3937 (1985).
- Y. Kitagawa, T. Matsumoto, T. Minamihata, K. Sawai, K. Matsuo, K. Mima, K. Nishihara, H. Azechi, K. A. Tanaka, H. Takabe, and S. Nakai, Beat-wave excitation of plasma wave and observation of accelerated electrons, Phys. Rev. Lett. 68, 48 (1992).
- A. Chamoli, D. N. Gupta, and V. Kumar, Surface plasma wave excitation using laser beat-wave and terahertz generation, Radiat. Eff. Defects Solids 179, 962 (2024).
- D. Roa, J. Kuo, H. Moyses, P. Taborek, T. Tajima, G. Mourou, and F. Tamanoi, Fiber-optic based laser wakefield accelerated electron beams and potential applications in radiotherapy cancer treatments, Photonics 9, 403 (2022).
- J. L. Vay, A. Almgren, J. Bell, L. Ge, D. P. Grote, M. Hogan, O. Kononenko, R. Lehe, A. Myers, C. Ng, J. Park, R. Ryne, O. Shapoval, M. Thévenet, and W. Zhang, warp-x: A new exascale computing platform for beam–plasma simulations, Nucl. Instrum. Methods Phys. Res., Sect. A 909, 476 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/2dkn-db5z for additional information on why longitudinal ponderomotive force dominates SP coupling, derivation of coupling coefficient, , practical estimation of geometric factor , curvature effect on dispersion relation, experimental alignment, and PIC simulation configurations, which includes Ref. [27].
- A. L. Falk, K.-C. Chiu, D. B. Farmer, Q. Cao, J. Tersoff, Y.-H. Lee, P. Avouris, and S.-J. Han, Coherent plasmon and phonon-plasmon resonances in carbon nanotubes, Phys. Rev. Lett. 118, 257401 (2017).
- T. M. Antonsen and P. Mora, Self-focusing and Raman scattering of laser pulses in tenuous plasmas, Phys. Rev. Lett. 69, 2204 (1992).
- Y. Gao, J. Bin, D. Haffa, C. Kreuzer, J. Hartmann, M. Speicher, F. H. Lindner, T. M. Ostermayr, P. Hilz, T. F. Rösch, S. Lehrack, F. Englbrecht, S. Seuferling, M. Gilljohann, H. Ding, W. Ma, K. Parodi, and J. Schreiber, An automated, 0.5 Hz nano-foil target positioning system for intense laser plasma experiments, High Power Laser Sci. Eng. 5, e12 (2017).