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Published Online: 26 October 2017
Accepted: September 2017
Physics of Plasmas 24, 103131 (2017); https://doi.org/10.1063/1.5005093
An all-optical mechanism of ion acceleration in vacuum with two counter-propagating plane waves has been proposed by F. Peano et al., IEEE Trans Plasma Sci. 36, 1857 (2008). A suitable frequency chirping of lasers drives a beat wave with variable phase velocity that traps particles and accelerates them longitudinally. In this paper, direct ion acceleration by two counter-propagating focused laser beams with variable frequencies is considered, and the multi-dimensional effects associated with the finite transverse dimension of lasers are investigated. It is shown that the Gaussian laser beams provide a defocusing transverse force that stops the acceleration process as ions propagate towards regions of smaller laser fields. On the other hand, the Laguerre-Gaussian laser beams with identical orbital angular momentum can confine the off-axis ions radially as they accelerate to high energies. It is shown that the orbital angular momentum of the Laguerre-Gaussian lasers can be used to control the angular momentum of the accelerated ion beam.
This work was supported by the Institute for Research in Fundamental Sciences (IPM) and the epp/GoLP at Instituto Superior Técnico, Universidade de Lisboa. J.V. acknowledges the support of FCT (Portugal) Grant No. SFRH/IF/01635/2015.
  1. 1. S. C. Wilks, A. B. Langdon, T. E. Cowan, M. Roth, M. Singh, S. Hatchett, M. H. Key, D. Pennington, A. MacKinnon, and R. A. Snavely, “ Energetic proton generation in ultra-intense lasersolid interactions,” Phys. Plasmas 8, 542 (2001). https://doi.org/10.1063/1.1333697, Google ScholarScitation
  2. 2. R. A. Snavely, M. H. Key, S. P. Hatchett, T. E. Cowan, M. Roth, T. W. Phillips, M. A. Stoyer, E. A. Henry, T. C. Sangster, M. S. Singh, S. C. Wilks, A. MacKinnon, A. Offenberger, D. M. Pennington, K. Yasuike, A. B. Langdon, B. F. Lasinski, J. Johnson, M. D. Perry, and E. M. Campbell, “ Intense high-energy proton beams from petawatt-laser irradiation of solids,” Phys. Rev. Lett. 85, 2945 (2000). https://doi.org/10.1103/PhysRevLett.85.2945, Google ScholarCrossref
  3. 3. J. Denavit, “ Absorption of high-intensity subpicosecond lasers on solid density targets,” Phys. Rev. Lett. 69, 3052 (1992). https://doi.org/10.1103/PhysRevLett.69.3052, Google ScholarCrossref
  4. 4. L. O. Silva, M. Marti, J. R. Davies, R. A. Fonseca, C. Ren, F. S. Tsung, and W. B. Mori, “ Proton shock acceleration in laser-plasma interactions,” Phys. Rev. Lett. 92, 015002 (2004). https://doi.org/10.1103/PhysRevLett.92.015002, Google ScholarCrossref
  5. 5. D. Haberberger, S. Tochitsky, F. Fiuza, C. Gong, R. A. Fonseca, L. Silva, W. B. Mori, and C. Joshi, “ Collisionless shocks in laser-produced plasma generate monoenergetic high-energy proton beams,” Nat. Phys. 8, 95 (2012). Google ScholarCrossref
  6. 6. G. Sorasio, M. Marti, R. A. Fonseca, and L. O. Silva, “ Very high Mach-number electrostatic shocks in collisionless plasmas,” Phys. Rev. Lett. 96, 045005 (2006). https://doi.org/10.1103/PhysRevLett.96.045005, Google ScholarCrossref
  7. 7. A. S. Novo, M. C. Kaluza, R. A. Fonseca, and L. O. Silva, “ Optimizing laser-driven proton acceleration from overdense targets,” Sci. Rep. 6, 29402 (2016). https://doi.org/10.1038/srep29402, Google ScholarCrossref
  8. 8. T. Esirkepov, M. Borghesi, S. Bulanov, G. Mourou, and T. Tajima, “ Highly efficient relativistic-ion generation in the laser-piston regime,” Phys. Rev. Lett. 92, 175003 (2004). https://doi.org/10.1103/PhysRevLett.92.175003, Google ScholarCrossref
  9. 9. A. Macchi, F. Cattani, T. V. Liseykina, and F. Cornolti, “ Laser acceleration of ion bunches at the front surface of overdense plasmas,” Phys. Rev. Lett. 94, 165003 (2005). https://doi.org/10.1103/PhysRevLett.94.165003, Google ScholarCrossref
  10. 10. A. Macchi, S. Veghini, T. V. Liseykina, and F. Pegoraro, “ Radiation pressure acceleration of ultrathin foils,” New J. Phys. 12, 045013 (2010). https://doi.org/10.1088/1367-2630/12/4/045013, Google ScholarCrossref
  11. 11. O. Klimo, J. Psikal, J. Limpouch, and V. T. Tikhonchuk, “ Monoenergetic ion beams from ultra thin foils irradiated by ultrahigh-contrast circularly polarized laser pulses,” Phys. Rev. Spec. Top. Accel. Beams 11, 031301 (2008). https://doi.org/10.1103/PhysRevSTAB.11.031301, Google ScholarCrossref
  12. 12. A. Macchi, S. Veghini, and F. Pegoraro, “ Light sail acceleration reexamined,” Phys. Rev. Lett. 103, 085003 (2009). https://doi.org/10.1103/PhysRevLett.103.085003, Google ScholarCrossref
  13. 13. T. Ditmire, J. W. G. Tisch, E. Springate, M. B. Mason, N. Hay, R. S. Smith, J. Marangos, and M. H. R. Hutchinson, “ High-energy ions produced in explosions of superheated atomic clusters,” Nature 386, 54 (1997). https://doi.org/10.1038/386054a0, Google ScholarCrossref
  14. 14. M. Murakami and K. Mima, “ Efficient generation of quasimonoenergetic ions by coulomb explosions of optimized nanostructured clusters,” Phys. Plasmas 16, 103108 (2009). https://doi.org/10.1063/1.3256183, Google ScholarScitation, ISI
  15. 15. G. Coppa, A. D'Angola, and R. Mulas, “ A simple model for the dynamics of the electrons in a spherical plasma irradiated by a laser pulse,” Math. Comput. Model. 54, 2479 (2011). https://doi.org/10.1016/j.mcm.2011.06.005, Google ScholarCrossref
  16. 16. E. Boella, B. P. Paradisi, A. D'Angola, L. O. Silva, and G. Coppa, “ Study on Coulomb explosions of ion mixtures,” J. Plasma Phys. 82, 905820110 (2016). https://doi.org/10.1017/S0022377816000179, Google ScholarCrossref
  17. 17. L. Yin, B. J. Albright, B. M. Hegelich, K. J. Bowers, K. A. Flippo, T. J. T. Kwan, and J. C. Fernandez, “ Monoenergetic and GeV ion acceleration from the laser breakout afterburner using ultrathin targets,” Phys. Plasmas 14, 056706 (2007). https://doi.org/10.1063/1.2436857, Google ScholarScitation, ISI
  18. 18. L. Yin, B. J. Albright, K. J. Bowers, D. Jung, J. C. Fernandez, and B. M. Hegelich, “ Three-dimensional dynamics of breakout afterburner ion acceleration using high-contrast short-pulse laser and nanoscale targets,” Phys. Rev. Lett. 107, 045003 (2011). https://doi.org/10.1103/PhysRevLett.107.045003, Google ScholarCrossref
  19. 19. M. Borghesi, J. Fuchs, S. V. Bulanov, A. J. Mackinnon, P. K. Patel, and M. Roth, “ Fast ion generation by high-intensity laser irradiation of solid targets and application,” Fusion Sci. Technol. 49, 412 (2006). https://doi.org/10.13182/FST06-A1159, Google ScholarCrossref
  20. 20. H. Daido, M. Nishiuchi, and A. S. Pirozhkov, “ Review of laser-driven ion sources and their applications,” Rep. Prog. Phys. 75, 056401 (2012). https://doi.org/10.1088/0034-4885/75/5/056401, Google ScholarCrossref
  21. 21. A. Macchi, M. Borghesi, and M. Passoni, “ Ion acceleration by superintense laser-plasma interaction,” Rev. Mod. Phys. 85, 751 (2013). https://doi.org/10.1103/RevModPhys.85.751, Google ScholarCrossref
  22. 22. M. Borghesi, A. J. Mackinnon, D. H. Campbell, D. G. Hicks, S. Kar, P. K. Patel, D. Price, L. Romagnani, A. Schiavi, and O. Willi, “ Multi-MeV proton source investigations in ultraintense laser-foil interactions,” Phys. Rev. Lett. 92, 055003 (2004). https://doi.org/10.1103/PhysRevLett.92.055003, Google ScholarCrossref
  23. 23. P. K. Patel, A. J. Mackinnon, M. H. Key, T. E. Cowan, M. E. Foord, M. Allen, D. F. Price, H. Ruhl, P. T. Springer, and R. Stephens, “ Isochoric heating of solid-density matter with an ultrafast proton beam,” Phys. Rev. Lett. 91, 125004 (2003). https://doi.org/10.1103/PhysRevLett.91.125004, Google ScholarCrossref
  24. 24. M. Temporal, J. J. Honrubia, and S. Atzeni, “ Numerical study of fast ignition of ablatively imploded deuterium-tritium fusion capsules by ultraintense proton beams,” Phys. Plasmas 9, 3098 (2002). https://doi.org/10.1063/1.1482375, Google ScholarScitation
  25. 25. S. Atzeni, M. Temporal, and J. J. Honrubia, “ A first analysis of fast ignition of precompressed icf fuel by laser-accelerated protons,” Nucl. Fusion 42, L1 (2002). https://doi.org/10.1088/0029-5515/42/3/101, Google ScholarCrossref
  26. 26. S. V. Bulanov and V. S. Khoroshkov, “ Feasibility of using laser ion accelerators in proton therapy,” Plasma Phys. Rep. 28, 453 (2002). https://doi.org/10.1134/1.1478534, Google ScholarCrossref
  27. 27. S. V. Bulanov, T. Z. Esirkepov, V. S. Khoroshkov, A. V. Kuznetsov, and F. Pegoraro, “ Oncological hadrontherapy with laser ion accelerators,” Phys. Lett. A 299, 240 (2002). https://doi.org/10.1016/S0375-9601(02)00521-2, Google ScholarCrossref
  28. 28. V. Malka, S. Fritzler, E. Lefebvre, E. dHumieres null, R. Ferrand, G. Grillon, C. Albaret, S. Meyroneinc, J.-P. Chambaret, A. Antonetti, and D. Hulin, “ Practicability of protontherapy using compact laser systems,” Med. Phys. 31, 1587 (2004). https://doi.org/10.1118/1.1747751, Google ScholarCrossref
  29. 29. F. Peano, J. Vieira, R. A. Fonseca, R. Mulas, G. Coppa, and L. O. Silva, “ Direct acceleration of ions with variable-frequency lasers,” IEEE Trans. Plasma Sci. 36, 1857 (2008). https://doi.org/10.1109/TPS.2008.926877, Google ScholarCrossref
  30. 30. F. Peano, J. Vieira, L. O. Silva, R. Mulas, and G. Coppa, “ All-optical trapping and acceleration of heavy particles,” New J. Phys. 10, 033028 (2008). https://doi.org/10.1088/1367-2630/10/3/033028, Google ScholarCrossref
  31. 31. F. Peano, J. Vieira, R. Mulas, G. Coppa, R. Bingham, and L. O. Silva, “ Prospects for all-optical ultrafast muon acceleration,” Plasma Phys. Controlled Fusion 51, 024006 (2009). https://doi.org/10.1088/0741-3335/51/2/024006, Google ScholarCrossref
  32. 32. F. Mackenroth, A. Gonoskov, and M. Marklund, “ Chirped-standing-wave acceleration of ions with intense lasers,” Phys. Rev. Lett. 117, 104801 (2016). https://doi.org/10.1103/PhysRevLett.117.104801, Google ScholarCrossref
  33. 33. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “ Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185 (1992). https://doi.org/10.1103/PhysRevA.45.8185, Google ScholarCrossref
  34. 34. M. Alison and M. J. Padgett, “ Orbital angular momentum: Origins, behavior and applications,” Adv. Opt. Photonics 3, 161 (2011). https://doi.org/10.1364/AOP.3.000161, Google ScholarCrossref
  35. 35. J. T. Mendonca and J. Vieira, “ Donut wakefields generated by intense laser pulses with orbital angular momentum,” Phys. Plasmas 21, 033107 (2014). https://doi.org/10.1063/1.4868967, Google ScholarScitation
  36. 36. J. Vieira and J. T. Mendonca, “ Nonlinear laser driven donut wakefields for positron and electron acceleration,” Phys. Rev. Lett. 112, 215001 (2014). https://doi.org/10.1103/PhysRevLett.112.215001, Google ScholarCrossref
  37. 37. J. Vieira, R. M. G. M. Trines, E. P. Alves, R. A. Fonseca, J. T. Mendona, R. Bingham, P. Norreys, and L. O. Silva, “ Amplification and generation of ultra-intense twisted laser pulses via stimulated Raman scattering,” Nat. Commun. 7, 10371 (2016). Google ScholarCrossref
  38. 38. J. Vieira, R. Trines, E. Alves, R. Fonseca, J. Mendona, R. Bingham, P. Norreys, and L. Silva, “ High orbital angular momentum harmonic generation,” Phys. Rev. Lett. 117, 265001 (2016). https://doi.org/10.1103/PhysRevLett.117.265001, Google ScholarCrossref
  39. 39. E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443 (1995). https://doi.org/10.1103/PhysRevE.52.5443, Google ScholarCrossref
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