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Ionization-seeded current filamentation in expanding plasma sheaths
Phys. Rev. E 114, 025208 – Published 27 August, 2026
DOI: https://doi.org/10.1103/gk4q-v1rm
Abstract
We report a seeding mechanism for the current filamentation instability that was identified using an experimental platform where a relativistically intense 2-ps (full width at half maximum) long-wavelength infrared pump laser both produces and interacts with a plasma that is overdense to the pump yet transparent to a near-infrared probe laser. This platform enables simultaneous high spatial resolution measurements of the self-generated magnetic filaments using Faraday rotation polarimetry and density filaments using interferometry. Supporting simulations show that the highly nonlinear dependence of the ionization rate on the local sheath electric field produced by pump-laser-heated hot electrons gives rise to -scale filaments of cold electrons that form a return current, generating local azimuthal magnetic fields that can last for over 100 picoseconds.
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References (53)
- Y. Sentoku, K. Mima, H. Ruhl, Y. Toyama, R. Kodama, and T. E. Cowan, Laser light and hot electron micro focusing using a conical target, Phys. Plasmas 11, 3083 (2004).
- M. Roth and M. Schollmeier, Ion acceleration—Target normal sheath acceleration, CERN Yellow Reports 1, 231 (2016).
- C. Zhang, C.-K. Huang, and C. Joshi, Self-organization of photoionized plasmas via kinetic instabilities, Rev. Mod. Plasma Phys. 7, 34 (2023).
- N. A. Ebrahim, C. Joshi, D. M. Villeneuve, N. H. Burnett, and M. C. Richardson, Anomalous energy transport to rear surface of microdisks at high laser irradiances, Phys. Rev. Lett. 43, 1995 (1979).
- J. J. Pilgram, C. G. Constantin, H. Zhang, P. Tzeferacos, T. G. Bachmann, L. Rovige, P. V. Heuer, M. B. P. Adams, S. Ghazaryan, M. Kaloyan, R. S. Dorst, M. J.-E. Manuel, and C. Niemann, Two-dimensional Thomson scattering measurements of misaligned electron density and temperature gradients and associated Biermann battery produced fields, Phys. Plasmas 31, 042113 (2024).
- E. S. Weibel, Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution, Phys. Rev. Lett. 2, 83 (1959).
- A. Bret, L. Gremillet, and M. E. Dieckmann, Multidimensional electron beam-plasma instabilities in the relativistic regime, Phys. Plasmas 17, 120501 (2010).
- S. Humphries, Charged Particle Beams (John Wiley & Sons, Inc., Hoboken, 2013).
- M. Tzoufras, C. Ren, F. S. Tsung, J. W. Tonge, W. B. Mori, M. Fiore, R. A. Fonseca, and L. O. Silva, Space-charge effects in the current-filamentation or Weibel instability, Phys. Rev. Lett. 96, 105002 (2006).
- C. Ren, M. Tzoufras, F. S. Tsung, W. B. Mori, S. Amorini, R. A. Fonseca, L. O. Silva, J. C. Adam, and A. Heron, Global simulation for laser-driven MeV electrons in fast ignition, Phys. Rev. Lett. 93, 185004 (2004).
- M. Tatarakis, F. N. Beg, E. L. Clark, A. E. Dangor, R. D. Edwards, R. G. Evans, T. J. Goldsack, K. W. D. Ledingham, P. A. Norreys, M. A. Sinclair, M-S. Wei, M. Zepf, and K. Krushelnick, Propagation instabilities of high-intensity laser-produced electron beams, Phys. Rev. Lett. 90, 175001 (2003).
- M. Manclossi, J. J. Santos, D. Batani, J. Faure, A. Debayle, V. T. Tikhonchuk, and V. Malka, Study of ultraintense laser-produced fast-electron propagation and filamentation in insulator and metal foil targets by optical emission diagnostics, Phys. Rev. Lett. 96, 125002 (2006).
- G. S. Sarkisov, V. V. Ivanov, P. Leblanc, Y. Sentoku, K. Yates, P. Wiewior, O. Chalyy, A. Astanovitskiy, V. Yu. Bychenkov, D. Jobe, and R. B. Spielman, Propagation of a laser-driven relativistic electron beam inside a solid dielectric, Phys. Rev. E 86, 036412 (2012).
- C. Schoenwaelder, A. Marret, S. Assenbaum, C. B. Curry, E. Cunningham, G. Dyer, S. Funk, G. D. Glenn, S. Goede, D. Khaghani, M. Rehwald, U. Schramm, F. Treffert, M. Vescovi, K. Zeil, S. H. Glenzer, F. Fiuza, and M. Gauthier, Time-resolved X-ray imaging of the current filamentation instability in solid-density plasmas, Nat. Commun. 17, 467 (2026).
- C.-K. Huang, C.-J. Zhang, K. A. Marsh, C. E. Clayton, and C. Joshi, Initializing anisotropic electron velocity distribution functions in optical-field ionized plasmas, Plasma Phys. Control. Fusion 62, 024011 (2020).
- C. Zhang, Y. Wu, M. Sinclair, A. Farrell, K. A. Marsh, J. Hua, I. Petrushina, N. Vafaei-Najafabadi, R. Kupfer, K. Kusche, M. Fedurin, I. Pogorelsky, M. Polyanskiy, C.-K. Huang, W. Lu, W. B. Mori, and C. Joshi, Electron Weibel instability induced magnetic fields in optical-field ionized plasmas, Phys. Plasmas 29, 062102 (2022).
- C. Zhang, Y. Wu, M. Sinclair, A. Farrell, K. A. Marsh, I. Petrushina, N. Vafaei-Najafabadi, A. Gaikwad, R. Kupfer, K. Kusche, M. Fedurin, I. Pogorelsky, M. Polyanskiy, C.-K. Huang, J. Hua, W. Lu, W. B. Mori, and C. Joshi, Mapping the self-generated magnetic fields due to thermal Weibel instability, Proc. Natl. Acad. Sci. USA 119, e2211713119 (2022).
- Y. Wu, A. Farrell, M. Sinclair, C. Zhang, I. Petrushina, N. Vafaei-Najafabadi, M. Babzien, W. Li, I. Pogorelsky, M. Polyanskiy, M. Fedurin, K. Kusche, M. Palmer, K. A. Marsh, and C. Joshi, Thermal Weibel instability induced magnetic fields co-exist with linear wakes in laser-ionized plasmas, Phys. Plasmas 31, 072108 (2024).
- B. Allen, V. Yakimenko, M. Babzien, M. Fedurin, K. Kusche, and P. Muggli, Experimental study of current filamentation instability, Phys. Rev. Lett. 109, 185007 (2012).
- S. Mondal, V. Narayanan, W. J. Ding, A. D. Lad, B. Hao, S. Ahmad, W. M. Wang, Z. M. Sheng, S. Sengupta, P. Kaw, A. Das, and G. R. Kumar, Direct observation of turbulent magnetic fields in hot, dense laser produced plasmas, Proc. Natl. Acad. Sci. USA 109, 8011 (2012).
- P. S. M. Claveria et al., Spatiotemporal dynamics of ultrarelativistic beam-plasma instabilities, Phys. Rev. Res. 4, 023085 (2022).
- C. M. Huntington, M. J.-E. Manuel, J. S. Ross, S. C. Wilks, F. Fiuza, H. G. Rinderknecht, H.-S. Park, G. Gregori, D. P. Higginson, J. Park, B. B. Pollock, B. A. Remington, D. D. Ryutov, C. Ruyer, Y. Sakawa, H. Sio, A. Spitkovsky, G. F. Swadling, H. Takabe, and A. B. Zylstra, Magnetic field production via the Weibel instability in interpenetrating plasma flows, Phys. Plasmas 24, 041410 (2017).
- C. M. Huntington, F. Fiuza, J. S. Ross, A. B. Zylstra, R. P. Drake, D. H. Froula, G. Gregori, N. L. Kugland, C. C. Kuranz, M. C. Levy, C. K. Li, J. Meinecke, T. Morita, R. Petrasso, C. Plechaty, B. A. Remington, D. D. Ryutov, Y. Sakawa, A. Spitkovsky, H. Takabe, et al., Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows, Nat. Phys. 11, 173 (2015).
- P. B. Corkum, Plasma perspective on strong field multiphoton ionization, Phys. Rev. Lett. 71, 1994 (1993).
- N. B. Delone and V. P. Krainov, Tunneling and barrier-suppression ionization of atoms and ions in a laser radiation field, Phys.-Usp. 41, 469 (1998).
- L. V. Keldysh, Ionization in the field of a strong electromagnetic wave, J. Exp. Theor. Phys. 20, 56 (1964).
- N. H. Burnett and P. B. Corkum, Cold-plasma production for recombination extreme-ultraviolet lasers by optical-field-induced ionization, J. Opt. Soc. Am. B 6, 1195 (1989).
- M. Arrayás, S. Betelú, M. A. Fontelos, and J. L. Trueba, Fingering from ionization fronts in plasmas, SIAM J. Appl. Math. 68, 1122 (2008).
- S. Nijdam, J. Teunissen, and U. Ebert, The physics of streamer discharge phenomena, Plasma Sources Sci. Technol. 29, 103001 (2020).
- S. I. Krasheninnikov, A. V. Kim, B. K. Frolov, and R. Stephens, Intense electron beam propagation through insulators: Ionization front structure and stability, Phys. Plasmas 12, 073105 (2005).
- A. Debayle and V. T. Tikhonchuk, Filamentation instability of a fast electron beam in a dielectric target, Phys. Rev. E 78, 066404 (2008).
- D. W. Oldenburg and J. C. Samson, Inversion of interferometric data from cylindrically symmetric, refractionless plasmas, J. Opt. Soc. Am. 69, 927 (1979).
- C. E. Max, J. Arons, and A. B. Langdon, Self-modulation and self-focusing of electromagnetic waves in plasmas, Phys. Rev. Lett. 33, 209 (1974).
- N. P. Dover, O. Tresca, N. Cook, O. C. Ettlinger, R. J. Kingham, C. Maharjan, M. N. Polyanskiy, P. Shkolnikov, I. Pogorelsky, and Z. Najmudin, Optical imaging of laser-driven fast electron Weibel-like filamentation in overcritical density plasma, Phys. Rev. Lett. 134, 025102 (2025).
- C. Gong, S. Y. Tochitsky, F. Fiuza, J. J. Pigeon, and C. Joshi, Plasma dynamics near critical density inferred from direct measurements of laser hole boring, Phys. Rev. E 93, 061202(R) (2016).
- A. Pukhov and J. Meyer-ter-Vehn, Laser hole boring into overdense plasma and relativistic electron currents for fast ignition of ICF targets, Phys. Rev. Lett. 79, 2686 (1997).
- L. Ji, B. Shen, and X. Zhang, Transparency of near-critical density plasmas under extreme laser intensities, New J. Phys. 20, 053043 (2018).
- A. Pukhov, Z.-M. Sheng, and J. Meyer-ter-Vehn, Particle acceleration in relativistic laser channels, Phys. Plasmas 6, 2847 (1999).
- S. C. Wilks, Simulations of ultraintense laser–plasma interactions, Phys. Fluids B 5, 2603 (1993).
- F. Sylla, A. Flacco, S. Kahaly, M. Veltcheva, A. Lifschitz, V. Malka, E. d'Humières, I. Andriyash, and V. Tikhonchuk, Short intense laser pulse collapse in near-critical plasma, Phys. Rev. Lett. 110, 085001 (2013).
- S. Augst, D. Strickland, D. D. Meyerhofer, S. L. Chin, and J. H. Eberly, Tunneling ionization of noble gases in a high-intensity laser field, Phys. Rev. Lett. 63, 2212 (1989).
- M. Arrayás, M. A. Fontelos, and C. Jiménez, Contour dynamics model for electric discharges, Phys. Rev. E 81, 035401(R) (2010).
- D. Wang, L. Wang, and Y. Zheng, Particle-in-cell/Monte Carlo collisional simulation of negative streamer formation and branching between planar electrodes, J. Appl. Phys. 124, 203301 (2018).
- Z. Zhao, R. J. Dijoud, and Y. Fu, A tutorial demonstration of streamer physics via fluid simulations, Phys. Plasmas 32, 110901 (2025).
- A. Farrell, M. Sinclair, Y. Wu, K. Marsh, A. Gaikwad, N. Vafaei-Najafabadi, M. Babzien, W. Li, M. Polyanskiy, I. Pogorelsky, C. Zhang, and C. Joshi, Biermann battery effect, Weibel instability, and ionization-driven filamentation in picosecond, relativistic laser-produced gas jet plasmas (unpublished).
- R. C. Davidson, Kinetic waves and instabilities in a uniform plasma, Basic Plasma Physics (North-Holland Publishing, 1983), Vol. 1, pp. 519–585.
- N. Shukla, K. Schoeffler, E. Boella, J. Vieira, R. Fonseca, and L. O. Silva, Interplay between the Weibel instability and the Biermann battery in realistic laser-solid interactions, Phys. Rev. Res. 2, 023129 (2020).
- K. M. Schoeffler, N. F. Loureiro, R. A. Fonseca, and L. O. Silva, Magnetic-field generation and amplification in an expanding plasma, Phys. Rev. Lett. 112, 175001 (2014).
- K. M. Schoeffler, N. F. Loureiro, R. A. Fonseca, and L. O. Silva, The generation of magnetic fields by the Biermann battery and the interplay with the Weibel instability, Phys. Plasmas 23, 056304 (2016).
- A. Criminisi, I. Reid, and A. Zisserman, A plane measuring device, Image Vis. Comput. 17, 625 (1999).
- Y.-Y. Chang, X. Cheng, A. Hannasch, M. LaBerge, J. M. Shaw, K. Weichman, J. Welch, A. C. Bernstein, W. Henderson, R. Zgadzaj, and M. C. Downer, Faraday rotation study of plasma bubbles in GeV wakefield accelerators, Phys. Plasmas 28, 123105 (2021).
- M. C. Kaluza, H.-P. Schlenvoigt, S. P. D. Mangles, A. G. R. Thomas, A. E. Dangor, H. Schwoerer, W. B. Mori, Z. Najmudin, and K. M. Krushelnick, Measurement of magnetic-field structures in a laser-wakefield accelerator, Phys. Rev. Lett. 105, 115002 (2010).
- P. Wang, S. Gong, Y. Li, and Y. Mo, Bond dissociation energy of measured by state-to-state resolved threshold fragment yield spectra, J. Chem. Phys. 160, 014304 (2024).