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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 4 — Feb. 24, 2003
  • pp: 309–316

Temporal and spatial characterization of harmonics structures of relativistic nonlinear Thomson scattering

K. Lee, Y. H. Cha, M. S. Shin, B. H. Kim, and D. Kim  »View Author Affiliations

Optics Express, Vol. 11, Issue 4, pp. 309-316 (2003)

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The harmonics of the scattering of a femtosecond intense laser pulse by an electron has been numerically investigated. The harmonic spectrum shows interesting red shifts and parasitic lines in the blue sides of harmonic lines. The red shift of the lines is found to be caused by the dilation of laser oscillation experienced by an electron due to its relativistic drift motion along the direction of a driving laser propagation and the parasitic lines come from the variation of the laser intensity. The angular distribution of each higher harmonic line shows double peak patterns in the forward direction. The backward scattering has its own distinct pattern: line-shaped nodes perpendicular to the laser electric field, the number of which is the harmonic order number minus one. As the harmonic order increases, the primary peaks of higher harmonics move from the backward to the forward direction of the laser propagation. In the time domain, each radiation pulse in the case of a linearly-polarized laser pulse has a double peak structure due to the disappearance of the acceleration during the half cycle of an electron’s oscillation.

© 2002 Optical Society of America

OCIS Codes
(190.5890) Nonlinear optics : Scattering, stimulated
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
(350.4990) Other areas of optics : Particles

ToC Category:
Research Papers

Original Manuscript: December 17, 2002
Revised Manuscript: February 13, 2003
Published: February 24, 2003

Kitae Lee, Y. Cha, M. Shin, B. Kim, and D. Kim, "Temporal and spatial characterization of harmonics structures of relativistic nonlinear Thomson scattering," Opt. Express 11, 309-316 (2003)

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  1. M. D. Perry and G. Mourou, "Terawatt to Petawatt Subpicosecond Lasers,�?? Science 264, 917 (1994) [CrossRef] [PubMed]
  2. G.A. Mourou, C. P. J. Barty, and M.D. Perry, �??Ultrahigh-Intensity Lasers: Physics of the Extreme on a Tabletop,�?? Phys. Today 51, 22 (1998). [CrossRef]
  3. P. Sprangle, A. Ting, E. Esarey, and A. Fisher, "Tunable, short pulse hard x-rays from a compact laser synchrotron source,�?? J. Appl. Phys. 72, 5032 (1992). [CrossRef]
  4. E. Esarey, S. K. Ride, and P. Sprangle, �??Nonlinear Thomson Scattering of intense laser pulses from beams and plasmas,�?? Phys. Rev. E 48, 3003 (1993). [CrossRef]
  5. F. V. Hartemann, �??High-intensity scattering processes of relativistic electrons in vacuum,�?? Phys. Plasmas 5, 2037 (1998). [CrossRef]
  6. Y. Ueshima, Y. Kishimoto, A. Sasaki, and T. Tajima, �??Laser Larmor X-ray radiation from low-Z matter,�?? Laser and Particle Beams 17, 45 (1999). [CrossRef]
  7. A. E. Kaplan and P. L. Shkolnikov, �??Lasetron: A Proposed Source of Powerful Nuclear-Time-Scale Electromagnetic Bursts,�?? Phys. Rev. Lett. 88, 074801 (2002) [CrossRef] [PubMed]
  8. Dong-Eon Kim, Csaba Toth, and Christopher P. J. Barty, �??Population inversion between atomic inner-shell vacancy states created by electron-impact ionization and Coster-Kronig decay,�?? Phys. Rev. A Rap. Comm. 59, R4129 (1999)
  9. D. Kim, S. H. Son, J. H. Kim, C. Toth, and C. P. J. Barty, �??Gain characteristics of inner-shell photoionization-pumped L23M1 transition in Ca,�?? Phys. Rev. A 63, 023806 (2001). [CrossRef]
  10. J. Sheffield, Plasma Scattering of Electromagnetic Radiation, (Academic Press, New York, 1975).
  11. Vachaspati, �??Harmonics in the Scattering of Light by Free Electrons,�?? Phys. Rev. 128, 664 (1962). [CrossRef]
  12. L. S. Brown and T. W. B. Kibble, �??Interaction of Intense Laser Beams with Electrons,�?? Phys. Rev. 133, A705 (1964). [CrossRef]
  13. E. S. Sarachik and G. T. Schappert, �??Classical Theory of the Scattering of Intense Laser Radiation by Free Electrons,�?? Phys. Rev. D 1, 2738 (1970). [CrossRef]
  14. E. Esarey and P. Sprangle, �??Generation of stimulated backscattered harmonic radiation from intense-laser interactions with beams and plasmas,�?? Phys. Rev. A 45, 5872 (1992). [CrossRef] [PubMed]
  15. E. Esarey, A. Ting, P. Sprangle, D. Umstadter, and X. Liu, �??Nonlinear analysis of relativistic harmonic generation by intense lasers in plasmas,�?? IEEE Trans. Plasma Sci. 21, 95 (1993). [CrossRef]
  16. Wei Yu, M. Y. Yu, J. X. Ma, Z. Xu, �??Strong frequency up-conversion by nonlinear Thomson scattering from relativistic electrons,�?? Phys. Plasmas 5, 406 (1998). [CrossRef]
  17. S.-Y. Chen, A. Maksimchuk, and D. Umstadter, �??Experimental observation of relativistic nonlinear Thomson scattering,�?? Nature (London) 396, 653 (1998). [CrossRef]
  18. S.-Y. Chen, A. Maksimchuk, E. Esarey, and D. Umstadter, �??Observation of Phase-Matched Relativistic Harmonic Generation,�?? Phys. Rev. Lett. 84, 5528 (2000). [CrossRef] [PubMed]
  19. R. E. Wagner, Q. Su, and R. Grobe, �??High-order harmonic generation in relativistic ionization of magnetically dressed atoms,�?? Phys. Rev. A 60, 3233 (1999). [CrossRef]
  20. K. Lee, Y. H. Cha, M. S. Shin, B. H. Kim, and D. Kim, �??Relativistic nonlinear Thomson scattering as attosecond x-ray source,�?? in print in Phys. Rev. E 67 2003. [CrossRef]
  21. J. Zhou, J. Peatross, M. M. Murnane, and H. C. Kapteyn, �??Enhanced High-Harmonic Generation Using 25 fs Laser Pulses,�?? Phys. Rev. Lett. 76, 752 (1996). [CrossRef] [PubMed]

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