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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 10, Iss. 11 — Nov. 1, 1993
  • pp: 2136–2143

Unified view of free-electron laser dynamics and of higher-harmonics electron bunching

G. Dattoli, L. Giannessi, and A. Torre  »View Author Affiliations


JOSA B, Vol. 10, Issue 11, pp. 2136-2143 (1993)
http://dx.doi.org/10.1364/JOSAB.10.002136


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Abstract

In this paper we discuss the free-electron laser (FEL) dynamics, solving the Liouville equation ruling the longitudinal phase-space evolution of the electron beam. We evaluate the bunching coefficients and study the interplay between FEL dynamics and harmonic generation. The effect of the initial beam energy spread is also included.

© 1993 Optical Society of America

History
Original Manuscript: October 21, 1992
Revised Manuscript: March 29, 1993
Published: November 1, 1993

Citation
G. Dattoli, L. Giannessi, and A. Torre, "Unified view of free-electron laser dynamics and of higher-harmonics electron bunching," J. Opt. Soc. Am. B 10, 2136-2143 (1993)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-10-11-2136


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References

  1. See, e.g., W. B. Colson, C. Pellegrini, A. Renieri, eds., Laser Handbook (North-Holland, Amsterdam, 1990), Vol. VI.
  2. J. N. Elgin, Nucl. Instrum. Methods A 304, 406 (1991); J. N. Elgin, C. Penman, Nucl. Instrum. Methods A 304, 787 (1991); F. De Martini, in Laser Handbook, W. B. Colson, C. Pellegrini, A. Renieri, eds. (North-Holland, Amsterdam, 1990), Vol. VI, p. 195. [CrossRef]
  3. J. Ben Zvi, F. F. Di Mauro, S. Krinsky, M. G. White, L. H. Yu, Nucl. Instrum. Methods A 296, 787 (1990); R. Bonifacio, L. De Salvo Souza, P. Piccini, E. T. Scharleman, Nucl. Instrum. Methods A 304, 787 (1990); R. Barbini, F. Ciocci, G. Dattoli, L. Gianessi, G. Maino, C. Mari, A. Marino, C. Ronsivalle, A. Torre, ENEA rep. RT/INN/90.35 (Ente per le Nuove Technologie, l’Energia e l’Ambiente, Frascati, Italy, 1990). [CrossRef]
  4. L. H. Yu, Phys. Rev. A 44, 5178 (1991). [CrossRef] [PubMed]
  5. G. Dattoli, A. Renieri, in Laser Handbook, W. B. Colson, C. Pellegrini, A. Renieri, eds. (North-Holland, Amsterdam, 1990), Vol. VI, p. 221.
  6. Note that the basis |n〉 may be specified by|n〉=(2π)−1/2exp(inχ) and the scalar product defined as〈m|n〉=12π∫02πexp[i(m−n)χ]dχ. The choice of χ is totally arbitrary. However, if we identify χ with ψ, the function (32) is just the longitudinal phase-space distribution.
  7. The operators ʱare easily identified asEˆ±=exp(±iχ), and the number operator nˆ is simplynˆ=1i∂∂χ.
  8. A. Doria, G. P. Gallerano, J. Feinestein, R. Pantell, “Coherent emission and gain from a bunched e-beam,” IEEE J. Quantum Electron. 29, 1428 (1993). [CrossRef]
  9. W. B. Colson, in Laser Handbook, W. B. Colson, C. Pellegrini, A. Renieri, eds. (North-Holland, Amsterdam, 1990), Vol. VI, p. 301.

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