Abstract

An effective computational technique to estimate lateral spatial effects in laser beams compressed by diffraction grating plates is established. In particular, the equivalence of the Kirchoff–Fresnel integral form to the exponential split-operator Fourier transform representation for a propagating-beam amplitude provides a more general numerical technique. Thus realistic beam profiles may be accurately propagated through the compressor pair, including grating-plate misalignment contributions. Additionally, the use of a stationary-phase approximation to the propagation integral kernel is shown to be a convenient, reliable method to evaluate analytical beam forms. Both the numerical and the approximate approaches generalize previously discussed ray-tracing approaches to optimize compressor design.

© 2006 Optical Society of America

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  1. M. D. Perry and G. Mourou, "Ultrafast phenomena," Science 264, 917-924 (1994).
    [CrossRef] [PubMed]
  2. C. P. J. Barty, C. L. Gordon III, and B. E. Lemoff, "Multiterawatt 30-fs Ti:sapphire laser system," Opt. Lett. 19, 1442-1444 (1994).
    [CrossRef] [PubMed]
  3. C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
    [CrossRef]
  4. C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
    [CrossRef]
  5. I. N. Ross, M. Trentelman, and C. N. Danson, "Optimization of a chirped-pulse amplification Nd:glass laser," Appl. Opt. 36, 9348-9358 (1997).
    [CrossRef]
  6. M. D. Perry, D. Pennington, B. C. Stuart, G. Tietbohl, J. A. Britten, C. Brown, S. Herman, B. Golick, M. Kartz, J. Miller, H. T. Powell, M. Vergino, and V. Yanovsky, "Petawatt laser pulses," Opt. Lett. 24, 160-162 (1999).
    [CrossRef]
  7. M. Trentelman, I. N. Ross, and C. N. Danson, "Finite size compression gratings in a large aperture chirped pulse amplification laser system," Appl. Opt. 36, 8567-8573 (1997).
    [CrossRef]
  8. P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
    [CrossRef]
  9. K. Osvay and I. N. Ross, "On a pulse compressor with gratings having arbitrary orientation," Opt. Commun. 105, 271-278 (1994).
    [CrossRef]
  10. O. E. Martinez, "Grating and prism compressors in the case of finite beam size," J. Opt. Soc. Am. B 3, 929-934 (1986).
    [CrossRef]
  11. O. E. Martinez, "Pulse distortions in tilted pulse schemes for ultrashort pulses," Opt. Commun. 59, 229-232 (1986).
    [CrossRef]
  12. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001), pp. 51-54.
  13. J. M. Simon and A. N. Fantino, "Sine relation for optical linear systems: matrix formulation," J. Mod. Opt. 38, 1117-1124 (1991).
    [CrossRef]
  14. M. Born and E. Wolf, Principles of Optics, 6th Ed. (Cambridge U. Press, 1980), Section 8.3.3.

1999 (1)

1997 (2)

1995 (1)

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

1994 (4)

K. Osvay and I. N. Ross, "On a pulse compressor with gratings having arbitrary orientation," Opt. Commun. 105, 271-278 (1994).
[CrossRef]

M. D. Perry and G. Mourou, "Ultrafast phenomena," Science 264, 917-924 (1994).
[CrossRef] [PubMed]

C. P. J. Barty, C. L. Gordon III, and B. E. Lemoff, "Multiterawatt 30-fs Ti:sapphire laser system," Opt. Lett. 19, 1442-1444 (1994).
[CrossRef] [PubMed]

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

1993 (1)

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

1991 (1)

J. M. Simon and A. N. Fantino, "Sine relation for optical linear systems: matrix formulation," J. Mod. Opt. 38, 1117-1124 (1991).
[CrossRef]

1986 (2)

O. E. Martinez, "Grating and prism compressors in the case of finite beam size," J. Opt. Soc. Am. B 3, 929-934 (1986).
[CrossRef]

O. E. Martinez, "Pulse distortions in tilted pulse schemes for ultrashort pulses," Opt. Commun. 59, 229-232 (1986).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001), pp. 51-54.

Antonetti, A.

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

Barty, C. P.

Barzanti, L. J.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Blanchot, N.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th Ed. (Cambridge U. Press, 1980), Section 8.3.3.

Britten, J. A.

Brown, C.

Chambaret, J. P.

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

Chang, Z.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Cheriaux, G.

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

Curley, P. F.

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

Damerell, A. E.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Danson, C. N.

I. N. Ross, M. Trentelman, and C. N. Danson, "Optimization of a chirped-pulse amplification Nd:glass laser," Appl. Opt. 36, 9348-9358 (1997).
[CrossRef]

M. Trentelman, I. N. Ross, and C. N. Danson, "Finite size compression gratings in a large aperture chirped pulse amplification laser system," Appl. Opt. 36, 8567-8573 (1997).
[CrossRef]

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Darpentigny, G.

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

Edwards, C. B.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Fantino, A. N.

J. M. Simon and A. N. Fantino, "Sine relation for optical linear systems: matrix formulation," J. Mod. Opt. 38, 1117-1124 (1991).
[CrossRef]

Fiorini, C.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Golick, B.

Gordon, C. L.

Hancock, S.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Herman, S.

Hutchinson, M. H.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Kartz, M.

Key, M. H.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Lemoff, B. E.

Luan, S.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Mahadeo, R. R.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Martinez, O. E.

O. E. Martinez, "Grating and prism compressors in the case of finite beam size," J. Opt. Soc. Am. B 3, 929-934 (1986).
[CrossRef]

O. E. Martinez, "Pulse distortions in tilted pulse schemes for ultrashort pulses," Opt. Commun. 59, 229-232 (1986).
[CrossRef]

Mercer, I. P.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Migus, A.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Miller, J.

Mourou, G.

M. D. Perry and G. Mourou, "Ultrafast phenomena," Science 264, 917-924 (1994).
[CrossRef] [PubMed]

Norreys, P.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Osvay, K.

K. Osvay and I. N. Ross, "On a pulse compressor with gratings having arbitrary orientation," Opt. Commun. 105, 271-278 (1994).
[CrossRef]

Pennington, D.

Pepler, D. A.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Perry, M. D.

Powell, H. T.

Rodkiss, D. A.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Ross, I. N.

I. N. Ross, M. Trentelman, and C. N. Danson, "Optimization of a chirped-pulse amplification Nd:glass laser," Appl. Opt. 36, 9348-9358 (1997).
[CrossRef]

M. Trentelman, I. N. Ross, and C. N. Danson, "Finite size compression gratings in a large aperture chirped pulse amplification laser system," Appl. Opt. 36, 8567-8573 (1997).
[CrossRef]

K. Osvay and I. N. Ross, "On a pulse compressor with gratings having arbitrary orientation," Opt. Commun. 105, 271-278 (1994).
[CrossRef]

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Rouyer, C.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Sauteret, C.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Seznec, S.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

Simon, J. M.

J. M. Simon and A. N. Fantino, "Sine relation for optical linear systems: matrix formulation," J. Mod. Opt. 38, 1117-1124 (1991).
[CrossRef]

Smith, M. A.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Stuart, B. C.

Taday, P.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Tietbohl, G.

Toner, W. T.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Trentelman, M.

Vergino, M.

Wigmore, K. W.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Winstone, T. B.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th Ed. (Cambridge U. Press, 1980), Section 8.3.3.

Wyatt, R. W.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Yanovsky, V.

Zou, F.

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

Appl. Opt. (2)

IEEE J. Quantum Electron. (1)

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, "Temporal aberrations due to misalignments of a stretcher-compressor system and compensation," IEEE J. Quantum Electron. 30, 1662-1670 (1994).
[CrossRef]

J. Mod. Opt. (1)

J. M. Simon and A. N. Fantino, "Sine relation for optical linear systems: matrix formulation," J. Mod. Opt. 38, 1117-1124 (1991).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (4)

O. E. Martinez, "Pulse distortions in tilted pulse schemes for ultrashort pulses," Opt. Commun. 59, 229-232 (1986).
[CrossRef]

C. N. Danson, L. J. Barzanti, Z. Chang, A. E. Damerell, C. B. Edwards, S. Hancock, M. H. R. Hutchinson, M. H. Key, S. Luan, R. R. Mahadeo, I. P. Mercer, P. Norreys, D. A. Pepler, D. A. Rodkiss, I. N. Ross, M. A. Smith, P. Taday, W. T. Toner, K. W. M. Wigmore, T. B. Winstone, R. W. W. Wyatt, and F. Zou, "High contrast multiterawatt pulse generation using chipred pulse amplification on the VULCAN laser facility," Opt. Commun. 103, 392-397 (1993).
[CrossRef]

P. F. Curley, G. Darpentigny, G. Cheriaux, J. P. Chambaret, and A. Antonetti, "High dynamic range autocorrelation studies of a femtosecond Ti:sapphire oscillator and its relevance to the optimisation of chirped pulse amplification systems," Opt. Commun. 120, 71-77 (1995).
[CrossRef]

K. Osvay and I. N. Ross, "On a pulse compressor with gratings having arbitrary orientation," Opt. Commun. 105, 271-278 (1994).
[CrossRef]

Opt. Lett. (2)

Science (1)

M. D. Perry and G. Mourou, "Ultrafast phenomena," Science 264, 917-924 (1994).
[CrossRef] [PubMed]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001), pp. 51-54.

M. Born and E. Wolf, Principles of Optics, 6th Ed. (Cambridge U. Press, 1980), Section 8.3.3.

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Figures (13)

Fig. 1
Fig. 1

Coordinate system chosen to orient a diffraction grating.

Fig. 2
Fig. 2

Absolute value of the initial Gaussian beam plotted as a function of the in-plane coordinate x and time for the fixed out-of-plane coordinate y.

Fig. 3
Fig. 3

Absolute value of the numerically propagated Gaussian beam after the second grating plate as a function of frequency and the in-plane distance x. The grating plates couple the in-plane coordinate and the frequency, as noted in the text.

Fig. 4
Fig. 4

Absolute, normalized value of the final temporally compressed Gaussian beam as a function of the in-plane coordinate and time for the fixed out-of-plane coordinate.

Fig. 5
Fig. 5

Absolute value of the initial hyperbolic secant beam plotted as a function of the in-plane coordinate x and time for fixed out-of-plane coordinate y.

Fig. 6
Fig. 6

Absolute value of the numerically propagated hyperbolic secant beam after the second grating plate as a function of frequency and the in-plane distance x. The grating plates couple the in-plane coordinate and the frequency, as noted in the text.

Fig. 7
Fig. 7

Absolute, normalized value of the final temporally compressed hyperbolic secant beam as a function of the in-plane coordinate and time for the fixed out-of-plane coordinate.

Fig. 8
Fig. 8

Absolute value of the initial sixth-order super-Gaussian beam plotted as a function of the in-plane coordinate x and time for the fixed out-of-plane coordinate y.

Fig. 9
Fig. 9

Absolute value of the numerically propagated sixth-order super-Gaussian beam after the second grating plate as a function of frequency and the in-plane distance x. The grating plates couple the in-plane coordinate and the frequency, as noted in the text.

Fig. 10
Fig. 10

The grating plates couple the in-plane coordinate and the frequency, as noted in the text.

Fig. 11
Fig. 11

Absolute value of the initial truncated Gaussian beam plotted as a function of in-plane coordinate, x, and time for fixed out of plane coordinate, y.

Fig. 12
Fig. 12

Absolute value of the numerically propagated truncated Gaussian beam after the second grating plate as a function of frequency and in-plane distance, x. The grating plates couple the in-plane coordinate and the frequency as noted in the text.

Fig. 13
Fig. 13

Absolute, normalized value of the final temporally compressed truncated Gaussian beam as a function of in-plane coordinate and time for fixed out of plane coordinate.

Equations (30)

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A inc ( x , y , z , t ) = exp ( i k x ) A 1 ( x , y ) B ( t ) ,
B ̂ ( ν ) = + exp ( 2 π i ν t ) B ( t ) d t ,
sin θ = sin θ
sin ϕ + sin ϕ = m λ d g cos θ ,
sin ϕ + sin ϕ = m 2 π c ω 0 d g cos θ + f ( Δ ω ) ,
f ( Δ ω ) β 1 Δ ω + β 2 ( Δ ω ) 2 + β 1 ( Δ ω ) 3 + ,
x 1 = x 1 cos ϕ 0 cos ϕ 0 x 2 m λ 0 d g cos θ 0 sin θ 0 cos ϕ 0 ,
x 2 = x 2 .
( x 1 x 2 ) = ( a b 0 1 ) ( x 1 x 2 ) ,
A 2 ( x , ω ) = B ̂ ( ω ) A 1 ( M x ) exp ( i k 0 x 1 β 1 Δ ω ) .
A 3 ( x , ω , z g ) = B ̂ ( ω ) 2 π + d k 1 d k 2 exp ( 2 π i k x ) exp ( 2 π 2 i z g k 0 k k ) × + d x 1 d x 2 exp ( 2 π i k x ) A 1 ( M x ) exp ( i k 0 x 1 β 1 Δ ω ) .
A 3 ( x , ω , z g ) = B ̂ ( ω ) 2 π + d v 1 d v 2 exp [ 2 π i ( v M ) x ] × exp [ 2 π 2 i z g k 0 ( v M ) ( M t v ) ] × + d u 1 d u 2 exp ( 2 π i v u ) A 1 ( u ) exp [ i k 0 Δ ω β 1 ( M 1 u ) 1 ] ,
A G ( y , ω , z g ) = B ̂ ( ω ) 2 π + d v 1 d v 2 exp [ 2 π i ( a v 1 y 1 + v 2 y 2 ) ] × exp [ 2 π 2 i z g k 0 ( a 2 v 1 2 + v 2 2 ) ] + d u 1 d u 2 exp ( 2 π i v u ) × exp { i k 0 ( u 1 2 + u 2 2 ) [ 2 q ( z 0 ) ] } exp ( i k 0 Δ ω β 1 u 1 a ) ,
A G ( y , ω , z g ) = B ̂ ( ω ) 2 π exp [ i k 0 ( y 1 2 + y 2 2 ) ( 2 z g ) ] [ q ( z 0 + a 2 z g ) q ( z 0 ) ] 1 2 × exp ( i k 0 { q ( z 0 ) 2 z g q ( z 0 + a 2 z g ) [ ( y 1 z g Δ ω β 1 ) 2 + y 2 2 ] } ) .
+ d k 1 d k 2 exp [ 2 π i k ( x x ) ] exp ( 2 π 2 i z g k 0 k k ) = exp [ i k 0 2 z g ( x x ) 2 ] .
A 4 ( x , ω , z g ) = B ̂ ( ω ) 2 π exp [ i k 0 Δ ω β ̃ 1 ( M ̃ x ) 1 ] + d v 1 d v 2 exp [ 2 π i ( v M ) ( M ̃ x ) ] × exp [ 2 π 2 i z g k 0 ( v M M t v ) ] × + d u 1 d u 2 exp ( 2 π i v u ) A 1 ( u ) exp [ i k 0 Δ ω β 1 ( M 1 u ) 1 ] .
A G ( x , ω , z g ) = B ̂ ( ω ) 2 π exp [ i k 0 z g Δ ω 2 β 1 2 2 ] [ q ( z 0 + a 2 z g ) q ( z 0 ) ] 1 2 × exp { i k 0 [ ( x 1 z g Δ ω β 1 ) 2 + ( x 2 ) 2 2 q ( z 0 + a 2 z g ) ] } .
A s p ( x , ω , z g ) = B ̂ ( ω ) 2 π + d u 1 d u 2 A 1 ( u ) exp [ i k 0 Δ ω β 1 ( M 1 u ) 1 ] + d k 1 d k 2 exp ( 2 π i k [ M 1 u x ) ] × exp ( 2 π 2 i z g k 0 k k ) .
+ d k 1 d k 2 exp [ 2 π i k ( M 1 u x ) ] exp ( 2 π 2 i z g k 0 k k ) = i 4 π d 1 exp ( i s 1 2 4 d 1 ) exp ( i s 2 2 4 d 1 ) ,
+ d s 1 d s 2 A 1 [ M ( s + x ) ] exp [ i k 0 Δ ω β 1 ( s 1 + x 1 ) ] × i a 4 π d 1 exp ( i s 1 2 4 d 1 ) exp ( i s 2 2 4 d 1 ) .
A s p ( x , ω , z g ) A 1 [ a ( x 1 z g Δ ω β 1 ) , x 2 ] exp [ i k 0 Δ ω β 1 ( x 1 z g Δ ω β 1 ) ] .
exp ( i k 0 x 2 2 z g ) exp [ i k 0 q ( z 0 ) 2 z g q ( z 0 + a 2 z g ) ( x z g Δ ω β 1 ) 2 ]
q ( z 0 ) q ( z 0 + a 2 z g ) 1 a 2 z g q ( z 0 ) ,
exp [ i k 0 a 2 2 q ( z 0 ) ( x z g Δ ω β 1 ) 2 ] exp [ i k 0 Δ ω β 1 ( x z g Δ ω β 1 ) ] .
β 1 = m d g λ 0 2 2 π c cos ϕ 0 .
exp [ ( c r i c i ) t 2 ] ,
c i ( c r 2 + c i 2 ) = k 0 2 β 1 2 z g .
exp [ i k 0 ( x 2 + y 2 ) q 0 + z 0 ] ,
sech [ i k 0 ( x 2 + y 2 ) q 0 + z 0 ] ,
exp [ ( x 2 + y 6 ) σ 6 ] .

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