Abstract

Amplification in free-electron lasers exploiting media with periodically modulated refractive indices is studied in the regime of a large modulation. The conditions for realization of the large-modulation regime in a superlattice-like medium are established. The maximized gain, the corresponding saturation field and efficiency, as well as the optimal electron energy and propagation direction are determined. It is shown that the large-modulation regime makes it possible to extend significantly the operation frequency domain of the FEL employing a low-relativistic electron beam. Relationship with the Cherenkov and stimulated resonance-transition-radiation FELs is discussed. This research is partially supported by RFBR grant 97-02-17783.

© 1998 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. R. Chen and J. M. Dawson, “Ion-ripple laser,” Phys. Rev. Lett. 68, 29–32 (1992).
    [CrossRef] [PubMed]
  2. R. N. Agrawal and V. K. Tripathi, “Ion-acoustic-wave pumped free-electron laser,” IEEE Trans. Plasma Science,  23788–791, (1995).
    [CrossRef]
  3. K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
    [CrossRef]
  4. V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
    [CrossRef]
  5. V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
    [CrossRef]
  6. N. I. Karbushev, “Free-electron lasers with static and dynamic plasma wigglers,” Nucl. Instr. & Meth. Phys. Res. A 358, 437–440 (1995).
    [CrossRef]
  7. M.V. Fedorov and E.A. Shapiro, “Free-electron lasers based on media with periodically modulated refractive index,” Laser Physics 5, 735–739 (1995).
  8. A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
    [CrossRef]
  9. M. A. Piestrup and P. F. Finman, “The prospects of an X-ray free-electron laser using stimulated resonance transition radiation,” IEEE J. Quantum Electron. QE 19, 357–364 (1983).
    [CrossRef]
  10. M. B. Reid and M. A. Piestrup, “Resonance transition radiation X-Ray laser,” IEEE J. Quantum Electron. QE 27, 2440–2455 (1991).
    [CrossRef]
  11. G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
    [CrossRef] [PubMed]
  12. A. E. Kaplan and S. Datta, “Extreme-ultraviolet and x-ray emission and amplification by nonrela-tivistic electron beams traversing a superlattice,” Appl. Phys. Lett. 44, 661–663 (1984).
    [CrossRef]
  13. M. S. Dubovikov, “Transition radiation and Bragg resonances,” Phys. Rev. A 50, 2068–2074 (1994).
    [CrossRef] [PubMed]
  14. C. S. Liu and V. K. Tripathi, “Short-wavelength free-electron laser operation in a periodic dielectric,”, IEEE Trans. Plasma Science 23, 459–464 (1995).
    [CrossRef]
  15. C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
    [PubMed]
  16. M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
    [CrossRef] [PubMed]
  17. C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
    [CrossRef]
  18. R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
    [CrossRef] [PubMed]
  19. A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
    [CrossRef]
  20. H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
    [CrossRef] [PubMed]
  21. K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
    [CrossRef]
  22. B. Pardo and J. M. Andre, “Transition radiation from periodic stratified structure,” Phys. Rev. A 40, 1918–1925 (1989).
    [CrossRef] [PubMed]
  23. W. Becker and J. K. McIver, “Classical theory of stimulated Cerenkov radiation,” Phys. Rev. A 31, 783–789 (1985).
    [CrossRef] [PubMed]
  24. M. V. Fedorov, “Atomic and free electrons in a strong light field,” World Scientific Publishin, Singapore, New Jersey, London, Hong Kong (1997).
  25. V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).
  26. A. Belliger, “Whats wrong with CIRFEL?”, http://viper.princeton.edu/~prebys/belliger.pdf, December 7, 1997.

1998 (1)

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

1996 (2)

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

1995 (6)

A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
[CrossRef]

R. N. Agrawal and V. K. Tripathi, “Ion-acoustic-wave pumped free-electron laser,” IEEE Trans. Plasma Science,  23788–791, (1995).
[CrossRef]

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

N. I. Karbushev, “Free-electron lasers with static and dynamic plasma wigglers,” Nucl. Instr. & Meth. Phys. Res. A 358, 437–440 (1995).
[CrossRef]

M.V. Fedorov and E.A. Shapiro, “Free-electron lasers based on media with periodically modulated refractive index,” Laser Physics 5, 735–739 (1995).

C. S. Liu and V. K. Tripathi, “Short-wavelength free-electron laser operation in a periodic dielectric,”, IEEE Trans. Plasma Science 23, 459–464 (1995).
[CrossRef]

1994 (2)

M. S. Dubovikov, “Transition radiation and Bragg resonances,” Phys. Rev. A 50, 2068–2074 (1994).
[CrossRef] [PubMed]

V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
[CrossRef]

1993 (1)

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

1992 (1)

K. R. Chen and J. M. Dawson, “Ion-ripple laser,” Phys. Rev. Lett. 68, 29–32 (1992).
[CrossRef] [PubMed]

1991 (4)

M. B. Reid and M. A. Piestrup, “Resonance transition radiation X-Ray laser,” IEEE J. Quantum Electron. QE 27, 2440–2455 (1991).
[CrossRef]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

1989 (1)

B. Pardo and J. M. Andre, “Transition radiation from periodic stratified structure,” Phys. Rev. A 40, 1918–1925 (1989).
[CrossRef] [PubMed]

1986 (1)

G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
[CrossRef] [PubMed]

1985 (1)

W. Becker and J. K. McIver, “Classical theory of stimulated Cerenkov radiation,” Phys. Rev. A 31, 783–789 (1985).
[CrossRef] [PubMed]

1984 (1)

A. E. Kaplan and S. Datta, “Extreme-ultraviolet and x-ray emission and amplification by nonrela-tivistic electron beams traversing a superlattice,” Appl. Phys. Lett. 44, 661–663 (1984).
[CrossRef]

1983 (1)

M. A. Piestrup and P. F. Finman, “The prospects of an X-ray free-electron laser using stimulated resonance transition radiation,” IEEE J. Quantum Electron. QE 19, 357–364 (1983).
[CrossRef]

1965 (1)

K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
[CrossRef]

Agrawal, R. N.

R. N. Agrawal and V. K. Tripathi, “Ion-acoustic-wave pumped free-electron laser,” IEEE Trans. Plasma Science,  23788–791, (1995).
[CrossRef]

Andre, J. M.

B. Pardo and J. M. Andre, “Transition radiation from periodic stratified structure,” Phys. Rev. A 40, 1918–1925 (1989).
[CrossRef] [PubMed]

Apollonov, V. V.

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

Artemyev, A. I.

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

Bazylev, V. A.

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
[CrossRef]

Becker, W.

W. Becker and J. K. McIver, “Classical theory of stimulated Cerenkov radiation,” Phys. Rev. A 31, 783–789 (1985).
[CrossRef] [PubMed]

Bekefi, G.

G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
[CrossRef] [PubMed]

Belliger, A.

A. Belliger, “Whats wrong with CIRFEL?”, http://viper.princeton.edu/~prebys/belliger.pdf, December 7, 1997.

Bergstrom, J. C.

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

Bocek, D.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Boyers, D. G.

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

Caplan, H. S.

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

Casey, K. F.

K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
[CrossRef]

Chen, K. R.

K. R. Chen and J. M. Dawson, “Ion-ripple laser,” Phys. Rev. Lett. 68, 29–32 (1992).
[CrossRef] [PubMed]

Datta, S.

A. E. Kaplan and S. Datta, “Extreme-ultraviolet and x-ray emission and amplification by nonrela-tivistic electron beams traversing a superlattice,” Appl. Phys. Lett. 44, 661–663 (1984).
[CrossRef]

Dawson, J. M.

K. R. Chen and J. M. Dawson, “Ion-ripple laser,” Phys. Rev. Lett. 68, 29–32 (1992).
[CrossRef] [PubMed]

Deutsch, I. H.

G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
[CrossRef] [PubMed]

DiNova, K. L.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Dubovikov, M. S.

M. S. Dubovikov, “Transition radiation and Bragg resonances,” Phys. Rev. A 50, 2068–2074 (1994).
[CrossRef] [PubMed]

Evertson, S. J.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Fedorov, M. V.

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

M. V. Fedorov, “Atomic and free electrons in a strong light field,” World Scientific Publishin, Singapore, New Jersey, London, Hong Kong (1997).

Fedorov, M.V.

M.V. Fedorov and E.A. Shapiro, “Free-electron lasers based on media with periodically modulated refractive index,” Laser Physics 5, 735–739 (1995).

Finman, P. F.

M. A. Piestrup and P. F. Finman, “The prospects of an X-ray free-electron laser using stimulated resonance transition radiation,” IEEE J. Quantum Electron. QE 19, 357–364 (1983).
[CrossRef]

Fiorito, R. B.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Gary, C. K.

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

Goloviznin, V.

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

Harris, J. L.

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

Hernandez, M.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Ho, A. H.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Kando, M.

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Kaplan, A. E.

A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
[CrossRef]

A. E. Kaplan and S. Datta, “Extreme-ultraviolet and x-ray emission and amplification by nonrela-tivistic electron beams traversing a superlattice,” Appl. Phys. Lett. 44, 661–663 (1984).
[CrossRef]

Kaprielian, Z. A.

K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
[CrossRef]

Karbushev, N. I.

N. I. Karbushev, “Free-electron lasers with static and dynamic plasma wigglers,” Nucl. Instr. & Meth. Phys. Res. A 358, 437–440 (1995).
[CrossRef]

Kawakubo, T.

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Kung., P.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Law, C. T.

A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
[CrossRef]

Li, Q.

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

Lihn, H.C.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Liu, C. S.

C. S. Liu and V. K. Tripathi, “Short-wavelength free-electron laser operation in a periodic dielectric,”, IEEE Trans. Plasma Science 23, 459–464 (1995).
[CrossRef]

Maruyama, X. K.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

McIver, J. K.

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

W. Becker and J. K. McIver, “Classical theory of stimulated Cerenkov radiation,” Phys. Rev. A 31, 783–789 (1985).
[CrossRef] [PubMed]

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

Nakajima, K.

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Nakanishi, T.

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Ogata, A.

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Osborne, M. J.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Ozcan, M.

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

Pantell, R. H.

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

Pardo, B.

B. Pardo and J. M. Andre, “Transition radiation from periodic stratified structure,” Phys. Rev. A 40, 1918–1925 (1989).
[CrossRef] [PubMed]

Piestrup, M. A.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

M. B. Reid and M. A. Piestrup, “Resonance transition radiation X-Ray laser,” IEEE J. Quantum Electron. QE 27, 2440–2455 (1991).
[CrossRef]

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

M. A. Piestrup and P. F. Finman, “The prospects of an X-ray free-electron laser using stimulated resonance transition radiation,” IEEE J. Quantum Electron. QE 19, 357–364 (1983).
[CrossRef]

Pincus, C. I.

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

Pitatelev, M. M.

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

Reid, M. B.

M. B. Reid and M. A. Piestrup, “Resonance transition radiation X-Ray laser,” IEEE J. Quantum Electron. QE 27, 2440–2455 (1991).
[CrossRef]

Rietdyk, H.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Rule, D. W.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Schep, T. J.

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
[CrossRef]

Settakron, C.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Shapiro, E. A.

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

Shapiro, E.A.

M.V. Fedorov and E.A. Shapiro, “Free-electron lasers based on media with periodically modulated refractive index,” Laser Physics 5, 735–739 (1995).

Shkolnikov, P. L.

A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
[CrossRef]

Silzer, R. M.

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

Skopik, D. M.

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

Snyder, S.

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

Tripathi, V. K.

C. S. Liu and V. K. Tripathi, “Short-wavelength free-electron laser operation in a periodic dielectric,”, IEEE Trans. Plasma Science 23, 459–464 (1995).
[CrossRef]

R. N. Agrawal and V. K. Tripathi, “Ion-acoustic-wave pumped free-electron laser,” IEEE Trans. Plasma Science,  23788–791, (1995).
[CrossRef]

Tulupov, A. V.

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
[CrossRef]

Wiedemann, H.

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

Wurtele, J. S.

G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
[CrossRef] [PubMed]

Yech, C.

K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
[CrossRef]

Appl. Phys. Lett. (1)

A. E. Kaplan and S. Datta, “Extreme-ultraviolet and x-ray emission and amplification by nonrela-tivistic electron beams traversing a superlattice,” Appl. Phys. Lett. 44, 661–663 (1984).
[CrossRef]

IEEE J. Quantum Electron. (3)

A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Nonlinear theory of a free-electron laser exploiting media with periodically modulated refractive index,” IEEE J. Quantum Electron. QE 34, 24–31 (1998).
[CrossRef]

M. A. Piestrup and P. F. Finman, “The prospects of an X-ray free-electron laser using stimulated resonance transition radiation,” IEEE J. Quantum Electron. QE 19, 357–364 (1983).
[CrossRef]

M. B. Reid and M. A. Piestrup, “Resonance transition radiation X-Ray laser,” IEEE J. Quantum Electron. QE 27, 2440–2455 (1991).
[CrossRef]

IEEE Trans. Plasma Science (2)

R. N. Agrawal and V. K. Tripathi, “Ion-acoustic-wave pumped free-electron laser,” IEEE Trans. Plasma Science,  23788–791, (1995).
[CrossRef]

C. S. Liu and V. K. Tripathi, “Short-wavelength free-electron laser operation in a periodic dielectric,”, IEEE Trans. Plasma Science 23, 459–464 (1995).
[CrossRef]

J. Appl. Phys. (1)

C. K. Gary, R. H. Pantell, M. Ozcan, M. A. Piestrup, and D. G. Boyers, “Optimization of the channeling radiation source crystal to produce intense quasimonochromatic X rays,” J. Appl. Phys. 70, 2995–3002 (1991).
[CrossRef]

J. of Phys. D - Appl. Phys. (1)

V. A. Bazylev, T. J. Schep, and A. V. Tulupov, “Short-Wavelength Free-Electron Lasers with Periodic Plasma Structures,” J. of Phys. D - Appl. Phys. 27, 2466–2469 (1994).
[CrossRef]

Laser Physics (1)

M.V. Fedorov and E.A. Shapiro, “Free-electron lasers based on media with periodically modulated refractive index,” Laser Physics 5, 735–739 (1995).

Nucl. Instr. & Meth. Phys. Res. A (3)

V. A. Bazylev, V. Goloviznin, M. M. Pitatelev, A. V. Tulupov, and T. J. Schep, “On the possibility of construction of plasma undulators,” Nucl. Instr. & Meth. Phys. Res. A 358, 433–436 (1995).
[CrossRef]

N. I. Karbushev, “Free-electron lasers with static and dynamic plasma wigglers,” Nucl. Instr. & Meth. Phys. Res. A 358, 437–440 (1995).
[CrossRef]

K. Nakajima, M. Kando, T. Kawakubo, T. Nakanishi, and A. Ogata, “A table-top X-ray FEL based on laser wakefield accelerator-undulator system,” Nucl. Instr. & Meth. Phys. Res. A 375, 593–596 (1996).
[CrossRef]

Phys. Rev. A (6)

G. Bekefi, J. S. Wurtele, and I. H. Deutsch, “Free-electron laser radiation induced by a periodic dielectric medium,” Phys. Rev. A 34, 1228–1236 (1986).
[CrossRef] [PubMed]

M. S. Dubovikov, “Transition radiation and Bragg resonances,” Phys. Rev. A 50, 2068–2074 (1994).
[CrossRef] [PubMed]

C. I. Pincus, M. A. Piestrup, D. G. Boyers, Q. Li, J. L. Harris, X. K. Maruyama, D. M. Skopik, R. M. Silzer, and H. S. Caplan, “Measurements of X-ray emission from photoabsorption-edge transition radiation,” Phys. Rev. A 43, 2387–2396 (1991).
[PubMed]

M. A. Piestrup, D. G. Boyers, C. I. Pincus, J. L. Harris, X. K. Maruyama, J. C. Bergstrom, H. S. Caplan, R. M. Silzer, and D. M. Skopik, “Quasi-monochromatic X-ray source using photoabsorption-edge transition radiation,” Phys. Rev. A 43, 3653–3661 (1991).
[CrossRef] [PubMed]

B. Pardo and J. M. Andre, “Transition radiation from periodic stratified structure,” Phys. Rev. A 40, 1918–1925 (1989).
[CrossRef] [PubMed]

W. Becker and J. K. McIver, “Classical theory of stimulated Cerenkov radiation,” Phys. Rev. A 31, 783–789 (1985).
[CrossRef] [PubMed]

Phys. Rev. B (1)

K. F. Casey, C. Yech, and Z. A. Kaprielian, “Cherenkov radiation in inhomogeneous periodic media,” Phys. Rev. B 140, 768–775 (1965).
[CrossRef]

Phys. Rev. E (1)

A. E. Kaplan, C. T. Law, and P. L. Shkolnikov, ”X-ray narrow-line transition radiation source based on low-energy electron beams traversing a multilayer nanostructure,” Phys. Rev. E 52, 6795–6808 (1995).
[CrossRef]

Phys. Rev. Lett. (3)

H.C. Lihn, P. Kung., C. Settakron, H. Wiedemann, D. Bocek, and M. Hernandez, “Observation of stimulated transition radiation,” Phys. Rev. Lett. 76, 4163–4166 (1996).
[CrossRef] [PubMed]

R. B. Fiorito, D. W. Rule, X. K. Maruyama, K. L. DiNova, S. J. Evertson, M. J. Osborne, S. Snyder, H. Rietdyk, M. A. Piestrup, and A. H. Ho, “Observation of Higher-order Parametric X-ray spectra in mosaic graphite and single silicon crystals,” Phys. Rev. Lett. 71, 704–707 (1993).
[CrossRef] [PubMed]

K. R. Chen and J. M. Dawson, “Ion-ripple laser,” Phys. Rev. Lett. 68, 29–32 (1992).
[CrossRef] [PubMed]

Other (3)

M. V. Fedorov, “Atomic and free electrons in a strong light field,” World Scientific Publishin, Singapore, New Jersey, London, Hong Kong (1997).

V. V. Apollonov, A. I. Artemyev, M. V. Fedorov, J. K. McIver, and E. A. Shapiro, “Gas-plasma and superlattice free-electron lasers exploiting a medium with periodically modulated refractive index,” Laser and Particle Beams, to appear in (1988).

A. Belliger, “Whats wrong with CIRFEL?”, http://viper.princeton.edu/~prebys/belliger.pdf, December 7, 1997.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (8)

Fig. 1a.
Fig. 1a.

The maximized gain G max and the corresponding optimum PPW index.

Fig. 1b.
Fig. 1b.

The electron relativistic factor γ maximizing the gain G.

Fig. 1c.
Fig. 1c.

The saturation field of the amplified electromagnetic mode

Fig. 1d.
Fig. 1d.

The efficiency of a FEL η

Fig. 2a.
Fig. 2a.

The maximized gain G max and the corresponding optimum PPW index.

Fig. 2b.
Fig. 2b.

The electron relativistic factor γ maximizing the gain G.

Fig. 2c.
Fig. 2c.

The saturation field of the amplified electromagnetic mode

Fig. 2d.
Fig. 2d.

The efficiency of a FEL η

Equations (20)

Equations on this page are rendered with MathJax. Learn more.

( v e ; k n ) / k n ) υ n ( ph ) = ω / k n ( ω ) .
( E ( z , t ) H ( z , t ) ) = IRe { n = ( E n H n ) · exp ( i ( k n z ω t ) ) } ,
ε ( z ) = ε + 2 α cos ( q z ) .
n E n + ( ω / q c ) H n = ( k 0 / q ) E n
ε ( ω / q c ) E n + α ( ω / q c ) ( E n 1 + E n + 1 ) n H n = ( k 0 / q ) H n .
n + > n > n , where n ± ± ω · α ( ω ) / 2 q c ε 1 / 2 .
n + n ω · α ( ω ) / q c ε 1 .
p ˙ = e E + e c [ v × H ] ,
φ̈ = Ω 2 cos φ .
Ω = [ k n e E n c 2 θ ε γ 2 ( k n c ω υ z c ) ] 1 / 2 ,
ε ˙ = e ( v · E ) .
G = 8 π n e Δ ε / E mode 2 ,
G lin = E n 2 E mode 2 π e 2 n e m γ c 2 ω c υ x 2 c 2 ( k n c ω υ z c ) L 3 d d u n ( sin u n u n ) 2 ,
E mode sat = E mode E n E n sat ,
E n sat = 1 e L · m c 2 γ k n L ( υ x / c ) ( k n c / ω υ z / c ) ( CGS units ) .
η = Δ ε ε 0 | E n = E n sat = 0.675 υ z 2 / c 2 c / υ z υ z / c · 1 L ω / c .
υ x = ± υ z · 2 / 3 · ( 1 ( υ z / c ) 2 ) = 2 γ opt ,
υ z 2 c 2 = 1 3 γ opt 2 .
G = 10.2 E n 2 E mode 2 L 3 n e r e ω c γ opt 4 γ opt 2 3 ,
η < 10 4 / ω 3 / 5 , η < 1.6 · 10 3 / γ 3 , η < 1.5 · 10 6 ( γ / ω 2 ) 1 / 3 .

Metrics