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Analytical and numerical studies of dark current in radiofrequency structures for short-pulse high-gradient acceleration
Phys. Rev. Accel. Beams 28, 111301 – Published 21 November, 2025
DOI: https://doi.org/10.1103/w9mh-3klh
Abstract
High-gradient acceleration is a key research area that could enable compact linear accelerators for future colliders, light sources, and other applications. In the pursuit of high-gradient operation, rf breakdown limits the attainable accelerating gradient in normal-conducting rf structures. Recent experiments at the Argonne Wakefield Accelerator suggest a promising approach: using short rf pulses with durations of a few nanoseconds. Experimental studies show that these rf pulses can mitigate breakdown limitations, resulting in higher gradients. For example, an electric field of nearly was achieved in an -band photoemission gun driven by 6-ns-long rf pulses, with rapid rf conditioning and low dark current observed. Despite these promising results, the short-pulse regime remains an underexplored parameter space, and rf breakdown physics under nanosecond-long pulses requires further investigation. In this paper, we present analytical and numerical simulations of dark current dynamics in accelerating cavities operating in the short-pulse regime. We study breakdown-associated processes spanning different time scales, including field emission, multipacting, and plasma formation, using simulations of the -band photogun cavities. The results reveal the advantages of using short rf pulses to reduce dark current and mitigate rf breakdown, offering a path toward a new class of compact accelerators with enhanced performance and reduced susceptibility to breakdown.
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References (60)
- S. Döbert, I. H. Wilson, W. Wuensch, M. Taborelli, C. Archard, I. Syratchev, S. T. Heikkinen, C. Adolphsen, and A. Grudiev, High gradient test of a clamped, molybdenum iris, -band accelerator structure at NLCTA, Technical Report No. CERN-AB-2005-005, European Organization for Nuclear Research (CERN), 2004, https://cds.cern.ch/record/815278.
- S. Döbert, R. Fandos, A. Grudiev, S. Heikkinen, J. A. Rodriquez, M. Taborelli, W. Wuensch, C. Adolphsen, and L. L. Laurent, High power test of an -band slotted-iris accelerator structure at NLCTA, in Proceedings of the 2007 Particle Accelerator Conference (PAC-2007), Albuquerque, NM (JACoW, Geneva, Switzerland, 2007), pp. 2191–2193.
- D. Yu, H. Henke, H. Braun, S. Dobert, and W. Wuensch, High power test of a 30-GHz planar accelerator, in Proceedings of the 2001 Particle Accelerator Conference (PAC-2001), Chicago, IL (JACoW, Geneva, Switzerland, 2001), pp. 3858–3860.
- W. Wuensch, C. Achard, S. Dobert, H. Braun, I. Syratchev, M. Taborelli, and I. Wilson, Demonstration of high-gradient acceleration, in Proceedings of the 2003 Particle Accelerator Conference (PAC-2003), Portland, OR (JACoW, Geneva, Switzerland, 2003), pp. 495–497.
- W. H. Tan, S. Antipov, D. S. Doran, G. Ha, C. Jing, E. Knight, S. Kuzikov, W. Liu, X. Lu, P. Piot, J. G. Power, J. Shao, C. Whiteford, and E. E. Wisniewski, Demonstration of sub- accelerating field in a photoemission electron gun powered by nanosecond -band radio-frequency pulses, Phys. Rev. Accel. Beams 25, 083402 (2022).
- J. Shao, H. Chen, D. Doran, G. Ha, C. Jing, X. Lin, W. Liu, M. Peng, J. Power, J. Shi et al., Demonstration of gradient above in short pulse regime using an -band single-cell structure, in Proceedings of the 13th International Particle Accelerator Conference (IPAC-2022), Bangkok, Thailand (JACoW, Geneva, Switzerland, 2022), pp. 3134–3137.
- D. Merenich, B. Leung, G. Rijal, X. Lu, S. Doran, G. Chen, W. Liu, C. Jing, J. Power, C. Whiteford, and E. Wisniewski, Breakdown insensitive acceleration regime in a metamaterial accelerating structure, Phys. Rev. Accel. Beams 27, 041301 (2024).
- B. Freemire, J. Shao, S. Weatherly, M. Peng, E. Wisniewski, S. Doran, W. Liu, C. Whiteford, X. Lu, S. Poddar et al., Development of -band single-cell dielectric disk accelerating structures, Phys. Rev. Accel. Beams 26, 071301 (2023).
- O. A. Ivanov, M. A. Lobaev, A. L. Vikharev, A. M. Gorbachev, V. A. Isaev, J. L. Hirshfield, S. H. Gold, and A. K. Kinkead, Active microwave pulse compressor using an electron-beam triggered switch, Phys. Rev. Lett. 110, 115002 (2013).
- S. V. Samsonov, A. D. R. Phelps, V. L. Bratman, G. Burt, G. G. Denisov, A. W. Cross, K. Ronald, W. He, and H. Yin, Compression of frequency-modulated pulses using helically corrugated waveguides and its potential for generating multigigawatt rf radiation, Phys. Rev. Lett. 92, 118301 (2004).
- W. Gu, H. Zha, J. Shi, Y. Jiang, X. Lin, F. Liu, J. Gao, A. Li, F. Hu, Q. Li, Q. Gao, and H. Chen, Design, fabrication, and test of a parallel-coupled slow-wave high-gradient structure for short input power pulses, Phys. Rev. Accel. Beams 28, 060401 (2025).
- I. Syratchev, G. Riddone, and S. Tantawi, CLIC rf high power production testing program, in Proceedings of the 11th European Particle Accelerator Conference (EPAC-2008), Genoa, Italy (JACoW, Geneva, Switzerland, 2008), pp. 1909–1911.
- A. Cappelletti, V. Dolgashev, J. Lewandoski, S. Tantawi, S. Weathersby, and J. Zelinski, Demonstration of the high rf power production feasibility in the CLIC power extraction and transfer structure [PETS], Nucl. Instrum. Methods Phys. Res., Sect. A 657, 78 (2011).
- J. Picard, I. Mastovsky, M. A. Shapiro, R. J. Temkin, X. Lu, M. Conde, D. S. Doran, G. Ha, J. G. Power, J. Shao et al., Generation of 565 MW of -band power using a metamaterial power extractor for structure-based wakefield acceleration, Phys. Rev. Accel. Beams 25, 051301 (2022).
- M. Peng, J. Shao, C. Jing, E. Wisniewski, G. Ha, J. Seok, M. Conde, and W. Liu, Generation of high power short rf pulses using an -band metallic power extractor driven by high charge multi-bunch train, in Proceedings of the 10th International Particle Accelerator Conference (IPAC-2019), Melbourne, Australia (JACoW, Geneva, Switzerland, 2019), pp. 734–737.
- J. Shao, C. Jing, E. Wisniewski, G. Ha, M. Conde, W. Liu, J. Power, and L. Zheng, Development and high-power testing of an -band dielectric-loaded power extractor, Phys. Rev. Accel. Beams 23, 011301 (2020).
- X. Lu et al., Advanced rf structures for wakefield acceleration and high-gradient research, arXiv:2203.08374.
- C. Jing, J. Power, J. Shao, G. Ha, P. Piot, X. Lu, A. Zholents, A. Kanareykin, S. Kuzikov, J. B. Rosenzweig, G. Andonian, E. I. Simakov, J. Upadhyay, C. Tang, R. J. Temkin, E. A. Nanni, and J. Lewellen, Continuous and coordinated efforts of structure wakefield acceleration (SWFA) development for an energy frontier machine, arXiv:2203.08275.
- A. Grudiev, S. Calatroni, and W. Wuensch, New local field quantity describing the high gradient limit of accelerating structures, Phys. Rev. ST Accel. Beams 12, 102001 (2009).
- A. W. Chao, K. H. Mess, M. Tigner, and F. Zimmermann, Handbook of Accelerator Physics and Engineering, 2nd ed. (World Scientific, Singapore, 2013).
- P. B. Wilson, Frequency and pulse length scaling of rf breakdown in accelerator structures, in Proceedings of the 2001 Particle Accelerator Conference (PAC-2001), Chicago, IL (JACoW, Geneva, Switzerland, 2001), pp. 509–511.
- E. I. Simakov, V. A. Dolgashev, and S. G. Tantawi, Advances in high gradient normal conducting accelerator structures, Nucl. Instrum. Methods Phys. Res., Sect. A 907, 221 (2018).
- K. L. Jensen, Y. Y. Lau, D. W. Feldman, and P. G. O’Shea, Electron emission contributions to dark current and its relation to microscopic field enhancement and heating in accelerator structures, Phys. Rev. ST Accel. Beams 11, 081001 (2008).
- M. Jimenez, R. J. Noer, G. Jouve, J. Jodet, and B. Bonin, Electron field emission from large-area cathodes: Evidence for the projection model, J. Phys. D 27, 1038 (1994).
- R. H. Fowler and L. Nordheim, Electron emission in intense electric fields, Proc. R. Soc. A 119, 173 (1928).
- D. Alpert, D. A. Lee, E. M. Lyman, and H. E. Tomaschke, Initiation of electrical breakdown in ultrahigh vacuum, J. Vac. Sci. Technol. 1, 35 (1964).
- J. Norem, Z. Insepov, and I. Konkashbaev, Triggers for rf breakdown, Nucl. Instrum. Methods Phys. Res., Sect. A 537, 510 (2005).
- A. J. Ahearn, The effect of temperature, degree of thoriation and breakdown on field currents from tungsten and thoriated tungsten, Phys. Rev. 50, 238 (1936).
- J. W. Wang and G. A. Loew, Field emission and rf breakdown in high gradient room temperature linac structures, in Proceedings of the Joint CERN-US-Japan Accelerator School: Course on Frontiers of Accelerator Technology: RF Engineering for Particle Accelerators (1997), https://inspirehep.net/literature/454313.
- J. R. M. Vaughan, Multipactor, IEEE Trans. Electron Devices 35, 1172 (1988).
- G. Bienvenu, P. Fernandes, and R. Parodi, An investigation on the field emitted electrons in travelling wave accelerating structures, Nucl. Instrum. Methods Phys. Res., Sect. A 320, 1 (1992).
- R. Larciprete, D. R. Grosso, M. Commisso, R. Flammini, and R. Cimino, Secondary electron yield of Cu technical surfaces: Dependence on electron irradiation, Phys. Rev. ST Accel. Beams 16, 011002 (2013).
- R. Valizadeh, O. B. Malyshev, S. Wang, S. A. Zolotovskaya, W. A. Gillespie, and A. Abdolvand, Low secondary electron yield engineered surface for electron cloud mitigation, Appl. Phys. Lett. 105, 231605 (2014).
- J. H. Han, K. Flöttmann, and W. Hartung, Single-side electron multipacting at the photocathode in rf guns, Phys. Rev. ST Accel. Beams 11, 013501 (2008).
- S. Mori, M. Yoshida, and D. Satoh, Multipactor suppression in dielectric-assist accelerating structures via diamondlike carbon coatings, Phys. Rev. Accel. Beams 24, 022001 (2021).
- J. G. Power, W. Gai, S. H. Gold, A. K. Kinkead, R. Konecny, C. Jing, W. Liu, and Z. Yusof, Observation of multipactor in an alumina-based dielectric-loaded accelerating structure, Phys. Rev. Lett. 92, 164801 (2004).
- J. E. Yater, Secondary electron emission and vacuum electronics, J. Appl. Phys. 133, 050901 (2023).
- H. Xu, M. A. Shapiro, and R. Temkin, Measurement of internal dark current in a 17 GHz, high gradient accelerator structure, Phys. Rev. Accel. Beams 22, 021002 (2019).
- A. Neuber, D. Hemmert, H. Krompholz, L. Hatfield, and M. Kristiansen, Initiation of high power microwave dielectric interface breakdown, J. Appl. Phys. 86, 1724 (1999).
- A. Valfells, L. K. Ang, Y. Y. Lau, and R. M. Gilgenbach, Effects of an external magnetic field, and of oblique radio-frequency electric fields on multipactor discharge on a dielectric, Phys. Plasmas 7, 750 (2000).
- G.-Y. Sun, B.-P. Song, and G.-J. Zhang, Investigation of multipactor-induced surface plasma discharge and temporal mode transition, Appl. Phys. Lett. 113, 011603 (2018).
- Dassault Systèmes, cst studio suite, https://www.3ds.com/products-services/simulia/products/cst-studio-suite/.
- R. A. Kishek and Y. Y. Lau, Multipactor discharge on a dielectric, Phys. Rev. Lett. 80, 193 (1998).
- A. G. Sazontov, V. E. Nechaev, and N. K. Vdovicheva, The susceptibility diagrams of a multipactor discharge on a dielectric: Effects of rf magnetic field, Appl. Phys. Lett. 98, 161503 (2011).
- A. Iqbal, D.-Q. Wen, J. Verboncoeur, and P. Zhang, Two surface multipactor with non-sinusoidal rf fields, J. Appl. Phys. 134, 153304 (2023).
- V. Shemelin, One-point multipactor in crossed fields of rf cavities, Phys. Rev. ST Accel. Beams 16, 102003 (2013).
- C. M. Lyneis, H. A. Schwettman, and J. P. Turneaure, Elimination of electron multipacting in superconducting structures for electron accelerators, Appl. Phys. Lett. 31, 541 (1977).
- D. Gonz’alez-Iglesias, B. Gimeno, D. Esperante, P. Martinez-Reviriego, P. Mart’in-Luna, N. Fuster-Mart’inez, C. Blanch, E. Mart’inez, A. Menéndez, J. Fuster, and A. Grudiev, Non-resonant ultra-fast multipactor regime in dielectric-assist accelerating structures, Results Phys. 56, 107245 (2024).
- R. M. Vaughan, Secondary emission formulas, IEEE Trans. Electron Devices 40, 830 (1993).
- K. L. F. Bane, V. A. Dolgashev, T. Raubenheimer, G. V. Stupakov, and J. Wu, Dark currents and their effect on the primary beam in an -band linac, Phys. Rev. ST Accel. Beams 8, 064401 (2005).
- L. Zheng, Y. Du, W. Huang, and C. Tang, Simulation of dark current and dark current-induced background photons in the Thomson scattering -ray source, Nucl. Instrum. Methods Phys. Res., Sect. A 800, 12 (2015).
- X. Wu et al., High-gradient breakdown studies of -band choke-mode structures, in Proceedings of the International Particle Accelerator Conference (IPAC-2017), Copenhagen, Denmark (JACoW, Geneva, Switzerland, 2017), pp. 1322–1325.
- R. Huang, D. Filippetto, C. F. Papadopoulos, H. Qian, F. Sannibale, and M. Zolotorev, Dark current studies on a normal-conducting high-brightness very-high-frequency electron gun operating in continuous wave mode, Phys. Rev. ST Accel. Beams 18, 013401 (2015).
- G. Rijal, M. Shapiro, J. Power, and X. Lu, Dark current simulations in accelerating structures operating with short rf pulses, in Proceedings of the 15th International Particle Accelerator Conference (IPAC-2024) (JACoW, Geneva, Switzerland, 2024), pp. 1440–1443.
- D. W. Hahn and M. N. Özişik, Chapter 6: Solution of the heat equation for semi-infinite and infinite domains, in Heat Conduction (John Wiley & Sons, Ltd, New York, 2012), pp. 236–272.
- A. Iqbal, J. Verboncoeur, and P. Zhang, Two surface multipactor discharge with two-frequency rf fields and space-charge effects, Phys. Plasmas 29, 012102 (2022).
- M. Johnson, R. Ruber, V. Ziemann, and H. Braun, Arrival time measurements of ions accompanying rf breakdown, Nucl. Instrum. Methods Phys. Res., Sect. A 595, 568 (2008).
- F. Wang and C. Adolphsen, Localization of rf breakdowns in a standing wave cavity, Phys. Rev. ST Accel. Beams 12, 042001 (2009).
- W. Wuensch, High gradient breakdown in normal conducting rf cavities, in Proceedings of the 8th European Particle Accelerator Conference (EPAC-2002), Paris, France (JACoW, Geneva, Switzerland, 2002), pp. 134–138.
- M. A. Miller, Motion of charged particles in the high-frequency electromagnetic fields (in Russian), Izv. Vyssh. Uchebn. Zaved., Radiofiz. 1, 110 (1958).