The electrons injected into a laser wakefield undergo betatron oscillation and give rise to the emission of intense X-ray radiation. To investigate the generation conditions of the X-rays, the relativistic motion of an electron injected in an off-axis position has been simulated with wakefield profiles which are pre-calculated with a two-dimensional particle-in-cell code. The wakefield with a plasma density of <TEX>$1.78{\times}10^{18}\;cm^{-3}$</TEX> is generated by the laser with an intensity of <TEX>$1.37{\times}10^{18}\;W/cm^2$</TEX> and a pulse width of 30 fs. From the calculation of the single particle motion, the characteristics of the betatron radiation are investigated in the time domain. As the transverse injection position increases, the power and the duration time of the radiation increase, but the width of each pulse decreases.

© 2009 Optical Society of Korea

1. W. P. Leemans, B. Nagler, A. J. Gonsalves, Cs. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, "GeV electron beams from a centimeter-scale accelerator," Nature Physics 2, 696-699 (2006) [CrossRef]
2. E. Esarey and P. Sprangle, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 2 (1996) [CrossRef]
3. S. Wang, et al, "Observation of spontaneous emitted x-ray betatron radiation in beam-plasma interactions," in Proc. 2001 Particle Accelerator Conference (Chicago, USA, 2001), pp. 3999-4001
4. E. Esarey, B. A. Shadwick, P. Catravas, and W. P. Leemans, "Synchrotron radiation from electron beams in plasma-focusing channels," Phy. Rev. E 65, 056505 (2002) [CrossRef]
5. A. R., K. T. Phuoc, R. Shah, A. Pukhov, E. Lefebvre, V. Malka, S. Kiselev, F. Burgy, J.-P. Rousseau, D. Umstadter, and D. Hulin, "Production of a keV x-ray beam from synchrotron radiation in relativistic laserplasma interaction," Phy. Rev. Lett. 93, 13 (2004) [CrossRef]
6. W. P. Leemans, E. Esarey, J. van Tilborg, P. A. Michel, C. B. Schroeder, C. Toth, C. G. R. Geddes, and B. A. Shadwick, "Radiation from laser accelerated electron bunches: coherent terahertz and femtosecond x-rays," IEEE Trans. Plasma Sci. 33, 1 (2005) [CrossRef]
7. K. T. Phuoc, F. Burgy, J.-P. Rousseau, V. Malka, and A. Rousse, "Laser based synchrotron radiation," Phy. Plasmas 12, 023101 (2005) [CrossRef]
8. S. Kneip, S. R. Nagel, C. Bellei, N. Bourgeois, A. E. Dangor, A. Gopal, R. Heathcote, S. P. D. Mangles, J. R. Marques, A. Maksimchuk, P. M. Nilson, K. Ta Phuoc, S. Reed, M. Tzoufras, F. S. Tsung, L. Willingale, W. B. Mori, A. Rousse, K. Krushelnick, and Z. Najmudin, "Observation of synchrotron radiation from electrons accelerated in a petawatt-laser-generated plasma cavity," Phys. Rev. Lett. 100, 105006 (2008) [CrossRef]
9. K. T. Phuoc, S. Corde, R. Shah, F. Albert, R. Fitour, J.-P. Rousseau, F. Burgy, B. Mercier, and A. Rousse, "Imaging electron trajectories in a laser-wakefield cavity using betatron x-ray radiation," Phy. Rev. Lett. 97, 225002 (2006) [CrossRef]
10. A. Rousse, K. Ta Phuoc, R. Shah, R. Fitour, and F. Albert, "Scaling of betatron x-ray radiation," Eur. Phys. J. D 45, 391-398 (2007) [CrossRef]
11. J. P. Verboncoeur, A.B. Langdon, and N. T. Gladd, "An object-oriented electromagnetic PIC code," Comp. Phys. Comm. 87, 199-211 (1995) [CrossRef]
12. P. Sprangle, E. Esarey, and A. Ting, "Nonlinear theory of intense laser-plasma interactions," Phys. Rev. Lett. 64, 17 (1990) [CrossRef]
13. J. D. Jackson, Classical Electrodynamics, <TEX>$\3^{rd}$</TEX> Edition (John Wiley & Sons, Inc., 1999)

Computer Physics Communications

• J. P. Verboncoeur, A.B. Langdon, and N. T. Gladd, "An object-oriented electromagnetic PIC code," Comp. Phys. Comm. 87, 199-211 (1995) [CrossRef]

in Proc. 2001 Particle Accelerator Conference

• S. Wang, et al, "Observation of spontaneous emitted x-ray betatron radiation in beam-plasma interactions," in Proc. 2001 Particle Accelerator Conference (Chicago, USA, 2001), pp. 3999-4001

Nature Physics

• W. P. Leemans, B. Nagler, A. J. Gonsalves, Cs. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, "GeV electron beams from a centimeter-scale accelerator," Nature Physics 2, 696-699 (2006) [CrossRef]

Phys. Plasmas

• K. T. Phuoc, F. Burgy, J.-P. Rousseau, V. Malka, and A. Rousse, "Laser based synchrotron radiation," Phy. Plasmas 12, 023101 (2005) [CrossRef]

Phys. Rev. E

• E. Esarey, B. A. Shadwick, P. Catravas, and W. P. Leemans, "Synchrotron radiation from electron beams in plasma-focusing channels," Phy. Rev. E 65, 056505 (2002) [CrossRef]

Phys. Rev. Lett.

• S. Kneip, S. R. Nagel, C. Bellei, N. Bourgeois, A. E. Dangor, A. Gopal, R. Heathcote, S. P. D. Mangles, J. R. Marques, A. Maksimchuk, P. M. Nilson, K. Ta Phuoc, S. Reed, M. Tzoufras, F. S. Tsung, L. Willingale, W. B. Mori, A. Rousse, K. Krushelnick, and Z. Najmudin, "Observation of synchrotron radiation from electrons accelerated in a petawatt-laser-generated plasma cavity," Phys. Rev. Lett. 100, 105006 (2008) [CrossRef]
• K. T. Phuoc, S. Corde, R. Shah, F. Albert, R. Fitour, J.-P. Rousseau, F. Burgy, B. Mercier, and A. Rousse, "Imaging electron trajectories in a laser-wakefield cavity using betatron x-ray radiation," Phy. Rev. Lett. 97, 225002 (2006) [CrossRef]
• P. Sprangle, E. Esarey, and A. Ting, "Nonlinear theory of intense laser-plasma interactions," Phys. Rev. Lett. 64, 17 (1990) [CrossRef]

Physical Review Letters

• A. R., K. T. Phuoc, R. Shah, A. Pukhov, E. Lefebvre, V. Malka, S. Kiselev, F. Burgy, J.-P. Rousseau, D. Umstadter, and D. Hulin, "Production of a keV x-ray beam from synchrotron radiation in relativistic laserplasma interaction," Phy. Rev. Lett. 93, 13 (2004) [CrossRef]

Plasma Science, IEEE Transactions on

• W. P. Leemans, E. Esarey, J. van Tilborg, P. A. Michel, C. B. Schroeder, C. Toth, C. G. R. Geddes, and B. A. Shadwick, "Radiation from laser accelerated electron bunches: coherent terahertz and femtosecond x-rays," IEEE Trans. Plasma Sci. 33, 1 (2005) [CrossRef]
• E. Esarey and P. Sprangle, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 2 (1996) [CrossRef]

The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics

• A. Rousse, K. Ta Phuoc, R. Shah, R. Fitour, and F. Albert, "Scaling of betatron x-ray radiation," Eur. Phys. J. D 45, 391-398 (2007) [CrossRef]

Other

• J. D. Jackson, Classical Electrodynamics, <TEX>$\3^{rd}$</TEX> Edition (John Wiley & Sons, Inc., 1999)

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