Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame

Journal of Computational Physics

Volumn 230, Issue 15, 2011, Pages 5908-5929

  Vay, J L ^a   Geddes, C G R ^a   Cormier Michel, E ^b   Grote, D P ^c  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b TECH X CORPORATION   (United States)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Boosted frame; Laser wakefield acceleration; Numerical instability; Particle in cell; Plasma simulation; Special relativity

Indexed keywords

DAMPING; GERMANIUM COMPOUNDS; LASER BEAMS; LASER PRODUCED PLASMAS; NUMERICAL METHODS; PLASMA DIAGNOSTICS; PLASMA INTERACTIONS; PLASMA STABILITY; PLASMA WAVES; SYNCHROTRON RADIATION;

BOOSTED FRAME; FRAMES OF REFERENCE; LASER WAKEFIELD ACCELERATION; LASER WAKEFIELD ACCELERATORS; LASER-PLASMAS; LORENTZ; NUMERICAL INSTABILITY; PARTICLE IN CELL; PLASMA-SIMULATION; SPECIAL RELATIVITY;

PLASMA SIMULATION;

EID: 79956123865     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.04.003     Document Type: Article

References (52)

1. Vay J.-L. Noninvariance of space- and time-scale ranges under a Lorentz transformation and the implications for the study of relativistic interactions. Physical Review Letters 2007, 98(13):130405/1-130405/4.
2. Tajima T., Dawson J. Laser electron-accelerator. Physical Review Letters 1979, 43(4):267-270.
3. Esarey E., Schroeder C.B., Leemans W.P. Physics of laser-driven plasma-based electron accelerators. Reviews of Modern Physics 2009, 81(3):1229-1285. 10.1103/RevModPhys.81.1229.
4. Geddes C., Toth C., van Tilborg J., Esarey E., Schroeder C., Bruhwiler D., Nieter C., Cary J., Leemans W. High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding. Nature 2004, 431(7008):538-541. 10.1038/nature02900.
5. Mangles S., Murphy C., Najmudin Z., Thomas A., Collier J., Dangor A., Divall E., Foster P., Gallacher J., Hooker C., Jaroszynski D., Langley A., Mori W., Norreys P., Tsung F., Viskup R., Walton B., Krushelnick K. Monoenergetic beams of relativistic electrons from intense laser-plasma interactions. Nature 2004, 431(7008):535-538. 10.1038/nature02939.
6. Faure J., Glinec Y., Pukhov A., Kiselev S., Gordienko S., Lefebvre E., Rousseau J., Burgy F., Malka V. A laser-plasma accelerator producing monoenergetic electron beams. Nature 2004, 431(7008):541-544. 10.1038/nature02963.
7. Leemans W.P., Nagler B., Gonsalves A.J., Toth C., Nakamura K., Geddes C.G.R., Esarey E., Schroeder C.B., Hooker S.M. Gev electron beams from a centimetre-scale accelerator. Nature Physics 2006, 2(10):696-699. 10.1038/nphys418.
8. C. Schroeder, E. Esarey, C. Geddes, C. Toth, W. Leemans, Design considerations for a laser-plasma linear collider, in: AIP Conference Proceedings, vol. 1086, 2009, pp. 208-14.
9. D. Bruhwiler, J. Cary, B. Cowan, K. Paul, C. Geddes, P. Mullowney, P. Messmer, E. Esarey, E. Cormier-Michel, W. Leemans, J.-L. Vay, New developments in the simulation of advanced accelerator concepts, in: AIP Conference Proceedings, vol. 1086, 2009, pp. 29-37.
10. J.-L. Vay, et al., Application of the reduction of scale range in a Lorentz boosted frame to the numerical simulation of particle acceleration devices, in: Proceedings of the Particle Accelerator Conference, Vancouver, Canada, 2009, tU1PBI04.
11. S.F. Martins, et al., Boosted frame pic simulations of lwfa: towards the energy frontier, in: Proceedings of the Particle Accelerator Conference, Vancouver, Canada, 2009, tH4GBC05.
12. Vay J.-L., Bruhwiler D., Geddes C., Fawley W., Martins S., Cary J., Cormier-Michel E., Cowan B., Fonseca R., Furman M., Lu W., Mori W., Silva L. Simulating relativistic beam and plasma systems using an optimal boosted frame. Journal of Physics: Conference Series 2009, 180(1). 5 pp.
13. Huang C., An W., Decyk V., Lu W., Mori W., Tsung F., Tzoufras M., Morshed S., Antonsen T., Feng B., Katsouleas T., Fonseca R., Martins S., Vieira J., Silva L., Esarey E., Geddes C., Leemans W., Cormier-Michel E., Vay J.-L., Bruhwiler D., Cowan B., Cary J., Paul K. Recent results and future challenges for large scale particle-in-cell simulations of plasma-based accelerator concepts. Journal of Physics: Conference Series 2009, 180(1):012005. 11 pp.
14. J.-L. Vay, et al., Speeding up simulations of relativistic systems using an optimal boosted frame, 2009. arxiv:0909.5603.
15. Martins S.F., Fonseca R.A., Silva L.O., Lu W., Mori W.B. Numerical simulations of laser wakefield accelerators in optimal lorentz frames. Computer Physics Communications 2010, 181(5):869-875. 10.1016/j.cpc.2009.12.023.
16. Martins S.F., Fonseca R.A., Lu W., Mori W.B., Silva L.O. Exploring laser-wakefield-accelerator regimes for near-term lasers using particle-in-cell simulation in Lorentz-boosted frames. Nature Physics 2010, 6(4):311-316. 10.1038/NPHYS1538.
17. Martins S.F., Fonseca R.A., Vieira J., Silva L.O., Lu W., Mori W.B. Modeling laser wakefield accelerator experiments with ultrafast particle-in-cell simulations in boosted frames. Physics of Plasmas 2010, 17(5). 10.1063/1.3358139.
18. J.-L. Vay, et al., Modeling laser wakefield accelerators in a Lorentz boosted frame, in: Proceedings of the 14th Advanced Accelerator Concepts Workshop, Annapolis, MD, 2010.
19. Boris J., Lee R. Nonphysical self forces in some electromagnetic plasma-simulation algorithms. Journal of Computational Physics 1973, 12(1):131-136.
20. I. Haber, R. Lee, H. Klein, J. Boris, in: Proceedings of the Sixth Conference on Numerical Simulation of Plasmas, Berkeley, CA, 1973, pp. 46-48.
21. Godfrey B. Numerical Cherenkov instabilities in electromagnetic particle codes. Journal of Computational Physics 1974, 15(4):504-521.
22. Godfrey B. Canonical momenta and numerical instabilities in particle codes. Journal of Computational Physics 1975, 19(1):58-76.
23. Greenwood A., Cartwright K., Luginsland J., Baca E. On the elimination of numerical Cerenkov radiation in pic simulations. Journal of Computational Physics 2004, 201(2):665-684. 10.1016/j.jcp.2004.06.021.
24. D. Grote, A. Friedman, J.-L. Vay, I. Haber, The warp code: modeling high intensity ion beams, in: AIP Conference Proceedings, vol. 749, 2005, pp. 55-58.
25. J.-L. Vay, et al., Modeling laser wakefield accelerators in a Lorentz boosted frame, 2010. arxiv:1009.2727v2.
26. W. Fawley, J.-L. Vay, Use of the Lorentz-boosted frame transformation to simulate free-electron laser amplifier physics, in: AIP Conference Proceedings, vol. 1086, 2009, pp. 346-50.
27. W. Fawley, J.-L. Vay, Full electromagnetic fel simulation via the Lorentz-boosted frame transformation, in: Proceedings of the FEL 2010, paper MOPB01, Sweden, 2010.
28. W. Fawley, J.-L. Vay, Full electromagnetic simulation of coherent synchrotron radiation via the Lorentz-boosted frame approach, in: Proceedings of the IPAC 2010, paper TUPEC064, Kyoto, Japan, 2010.
29. B.B. Godfrey, in: Proceedings of the Ninth Conference on Numerical Simulation of Plasmas, 1980.
30. Friedman A. A 2nd-order implicit particle mover with adjustable damping. Journal of Computational Physics 1990, 90(2):292-312.
31. Abe H., Sakairi N., Itatani R., Okuda H. High-order spline interpolations in the particle simulation. Journal of Computational Physics 1986, 63(2):247-267.
32. E. Cormier-Michel, B.A. Shadwick, C.G.R. Geddes, E. Esarey, C.B. Schroeder, W.P. Leemans, Unphysical kinetic effects in particle-in-cell modeling of laser wakefield accelerators, Physical Review E 78 (1, Part 2). doi:10.1103/PhysRevE.78.016404.
33. Birdsall C., Langdon A. Plasma physics via computer simulation 1991, Adam-Hilger.
34. Vay J.-L., et al. Effects of hyperbolic rotation in minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame. Physics of Plasmas 2011, 18:030701/1-4.
35. Cole J. A high-accuracy realization of the yee algorithm using non-standard finite differences. IEEE Transactions on Microwave Theory and Techniques 1997, 45(6):991-996.
36. Cole J. High-accuracy yee algorithm based on nonstandard finite differences: New developments and verifications. IEEE Transactions on Antennas and Propagation 2002, 50(9):1185-1191. 10.1109/TAP.2002.801268.
37. M. Karkkainen, E. Gjonaj, T. Lau, T. Weiland, Low-dispersionwake field calculation tools, in: Proceedings of the International Computational Accelerator Physics Conference, Chamonix, France, 2006, pp. 35-40.
38. B. Cowan, in: Poster of the 10th International Computational Accelerator Physics Conference, San Francisco, CA, 2009.
39. Berenger J. Three-dimensional perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1996, 127(2):363-379.
40. Langdon A.B. On enforcing gauss law in electromagnetic particle-in-cell codes. Computer Physics Communications 1992, 70(3):447-450.
41. Marder B. A method for incorporating Gauss law into electromagnetic pic codes. Journal of Computational Physics 1987, 68(1):48-55.
42. Vay J.-L., Deutsch C. Charge compensated ion beam propagation in a reactor sized chamber. Physics of Plasmas 1998, 5(4):1190-1197.
43. Villasenor J., Buneman O. Rigorous charge conservation for local electromagnetic-field solvers. Computer Physics Communications 1992, 69(2-3):306-316.
44. Esirkepov T. Exact charge conservation scheme for particle-in-cell simulation with an arbitrary form-factor. Computer Physics Communications 2001, 135(2):144-153.
45. Berenger J. A perfectly matched layer for the absorption of electromagnetic-waves. Journal of Computational Physics 1994, 114(2):185-200.
46. Vay J.-L. A new absorbing layer boundary condition for the wave equation. Journal of Computational Physics 2000, 165(2):511-521.
47. Vay J.-L. Asymmetric perfectly matched layer for the absorption of waves. Journal of Computational Physics 2002, 183(2):367-399. 10.1006/jcph.2002.7175.
48. E. Cormier-Michel, C. Geddes, E. Esarey, C. Schroeder, D. Bruhwiler, K. Paul, B. Cowan, W. Leemans, Scaled simulations of a 10 gev accelerator, in: AIP Conference Proceedings, vol. 1086, 2009, pp. 297-302.
49. C.G.R. Geddes, et al., Scaled simulation design of high quality laser wakefield accelerator stages, in: Proceedings of the Particle Accelerator Conference, Vancouver, Canada, 2009, wE6RFP075.
50. Tsung F., Lu W., Tzoufras M., Mori W., Joshi C., Vieira J., Silva L., Fonseca R. Simulation of monoenergetic electron generation via laser wakefield accelerators for 5-25 tw lasers. Physics of Plasmas 2006, 13(5). 10.1063/1.2198535.
51. B. Cowan, Private communication, 2010.
52. Nieter C., Cary J.R. Journal of Computational Physics 2004, 196:448-472.