Abstract

Optical parametric amplification can give particularly high values for gain, gain bandwidth, energy, efficiency, and wave-front quality. In combination with chirped pulse amplification, in a technique we call optical parametric chirped pulse amplification, it offers the prospect of generating peak powers up to 100 PW and intensities greater than 1024 W/cm2 with existing technology. Here we study the technique in detail using both analytical and computational techniques, and the limit of validity of the analytical approach is identified. The effects of spectral phase, energy extraction, signal pulse chirp, and pump pulse nonuniformity are analyzed, and optimization techniques are proposed and discussed.

© 2002 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  17. A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
    [CrossRef]
  18. I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
    [CrossRef]
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    [CrossRef]
  22. I. N. Ross and K. Osvay, “Efficient broad bandwidth frequency mixing in dispersive media,” Opt. Quantum Electron. 28, 83–86 (1996).
    [CrossRef]
  23. A. C. Boscheron, C. J. Sauteret, and A. Migus, “Efficient broadband sum frequency based on controlled phase-modulated input fields: theory for 351-nm ultra-broadband or ultrashort pulses generation,” J. Opt. Soc. Am. B 13, 818–826 (1996).
    [CrossRef]
  24. K. Osvay and I. N. Ross, “Broadband sum-frequency generation by chirp-assisted group-velocity matching,” J. Opt. Soc. Am. B 13, 1431–1438 (1996).
    [CrossRef]
  25. G. Szabo and Z. Bor, “Frequency conversion of ultrashort pulses,” Appl. Phys. B 58, 237–241 (1994).
    [CrossRef]
  26. I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
    [CrossRef]
  27. I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
    [CrossRef]
  28. S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
    [CrossRef]
  29. C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

2002 (1)

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

2001 (1)

I. Jovanovic, B. J. Comaskey, and D. M. Pennington, “Angular effects and beam quality in optical parametric amplification,” J. Appl. Phys. 90, 4328–4337 (2001).
[CrossRef]

2000 (2)

1999 (3)

F. Rotermund, V. Petrov, and F. Noack, “Femtosecond non-collinear parametric amplification in the mid-infrared,” Opt. Commun. 169, 183–188 (1999).
[CrossRef]

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

S. Reisner and M. G. Gutmann, “Numerical treatment of UV-pumped, white-light-seeded single-pass noncollinear parametric amplifiers,” J. Opt. Soc. Am. B 16, 1801–1813 (1999).
[CrossRef]

1998 (3)

A. Galvanauskas, A. Hariharan, D. Harter, M. A. Arbore, and M. M. Fejer, “High-energy femtosecond pulse amplification in a quasi-phase-matched parametric amplifier,” Opt. Lett. 23, 210–212 (1998).
[CrossRef]

G. Cerullo, M. Nisoli, S. Stagira, and S. De Silvestri, “Sub-8-fs pulses from an ultrabroadband optical parametric amplifier in the visible,” Opt. Lett. 23, 1283–1285 (1998).
[CrossRef]

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

1997 (3)

1996 (3)

1995 (3)

1994 (1)

G. Szabo and Z. Bor, “Frequency conversion of ultrashort pulses,” Appl. Phys. B 58, 237–241 (1994).
[CrossRef]

1993 (1)

1992 (1)

A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
[CrossRef]

1990 (1)

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

1986 (2)

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

A. Piskarskas, A. Stabinis, and A. Yankauskas, “Phase phenomena in parametric amplifiers and generators of ultrashort light pulses,” Sov. Phys. Usp. 29, 969–979 (1986).
[CrossRef]

1985 (1)

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

1979 (1)

R. A. Baumgartner and R. L. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. QE-15, 432–444 (1979).
[CrossRef]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Allott, R. M.

Andreoni, A.

Arbore, M. A.

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Banfi, G. P.

Baumgartner, R. A.

R. A. Baumgartner and R. L. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. QE-15, 432–444 (1979).
[CrossRef]

Begishev, I. A.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Bor, Z.

G. Szabo and Z. Bor, “Frequency conversion of ultrashort pulses,” Appl. Phys. B 58, 237–241 (1994).
[CrossRef]

Boscheron, A. C.

Byer, R. L.

R. A. Baumgartner and R. L. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. QE-15, 432–444 (1979).
[CrossRef]

Cavallari, M.

Cerullo, G.

Collier, J. L.

I. N. Ross, J. L. Collier, P. Matousek, C. N. Danson, D. Neely, R. M. Allott, D. A. Pepler, C. Hernandez-Gomez, and K. Osvay, “Generation of terawatt pulses by use of optical parametric chirped pulse amplification,” Appl. Opt. 39, 2422–2427 (2000).
[CrossRef]

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

Comaskey, B. J.

I. Jovanovic, B. J. Comaskey, and D. M. Pennington, “Angular effects and beam quality in optical parametric amplification,” J. Appl. Phys. 90, 4328–4337 (2001).
[CrossRef]

Csatari, M.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

Danelius, R.

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Danielius, R.

Danson, C. N.

De Silvestri, S.

Di Trapani, P.

Divall, E. J.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

Driscoll, T. J.

Dubeitis, A.

A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
[CrossRef]

Dubietis, A.

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Dunn, M. H.

Erofeev, E. A.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Fejer, M. M.

Foggi, P.

Fujita, M.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Gale, G. M.

Galvanauskas, A.

Gulanov, A. A.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Gutmann, M. G.

Hache, F.

Hariharan, A.

Harter, D.

Hernandez-Gomez, C.

Hooker, C. J.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

Ibragimov, E. A.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

Izawa, Y.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Jonasauskas, G.

A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
[CrossRef]

Jones, O. S.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Jovanovic, I.

I. Jovanovic, B. J. Comaskey, and D. M. Pennington, “Angular effects and beam quality in optical parametric amplification,” J. Appl. Phys. 90, 4328–4337 (2001).
[CrossRef]

Kadzhaev, A. D.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

Kamalov, Sh. R.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Klebniczki, J.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

Kobayashi, T.

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Kurdi, G.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

Langley, A. J.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

Lawson, J. K.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Liu, J. M.

Matousek, P.

I. N. Ross, J. L. Collier, P. Matousek, C. N. Danson, D. Neely, R. M. Allott, D. A. Pepler, C. Hernandez-Gomez, and K. Osvay, “Generation of terawatt pulses by use of optical parametric chirped pulse amplification,” Appl. Opt. 39, 2422–2427 (2000).
[CrossRef]

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

Migus, A.

Nakatsuka, M.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Neely, D.

Nisoli, M.

Noack, F.

F. Rotermund, V. Petrov, and F. Noack, “Femtosecond non-collinear parametric amplification in the mid-infrared,” Opt. Commun. 169, 183–188 (1999).
[CrossRef]

Osvay, K.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

I. N. Ross, J. L. Collier, P. Matousek, C. N. Danson, D. Neely, R. M. Allott, D. A. Pepler, C. Hernandez-Gomez, and K. Osvay, “Generation of terawatt pulses by use of optical parametric chirped pulse amplification,” Appl. Opt. 39, 2422–2427 (2000).
[CrossRef]

K. Osvay and I. N. Ross, “Broadband sum-frequency generation by chirp-assisted group-velocity matching,” J. Opt. Soc. Am. B 13, 1431–1438 (1996).
[CrossRef]

I. N. Ross and K. Osvay, “Efficient broad bandwidth frequency mixing in dispersive media,” Opt. Quantum Electron. 28, 83–86 (1996).
[CrossRef]

Pennington, D. M.

I. Jovanovic, B. J. Comaskey, and D. M. Pennington, “Angular effects and beam quality in optical parametric amplification,” J. Appl. Phys. 90, 4328–4337 (2001).
[CrossRef]

Pepler, D. A.

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Petrov, V.

F. Rotermund, V. Petrov, and F. Noack, “Femtosecond non-collinear parametric amplification in the mid-infrared,” Opt. Commun. 169, 183–188 (1999).
[CrossRef]

Piel, J.

Piskarskas, A.

P. Di Trapani, A. Andreoni, C. Solcia, P. Foggi, R. Danielius, A. Dubietis, and A. Piskarskas, “Matching of group velocities in three-wave parametric interaction with femtosecond pulses and application to traveling-wave generators,” J. Opt. Soc. Am. B 12, 2237–2244 (1995).
[CrossRef]

R. Danielius, A. Piskarskas, A. Stabinis, G. P. Banfi, P. Di Trapani, and R. Righini, “Traveling-wave parametric generation of widely tunable, highly coherent femtosecond light pulses,” J. Opt. Soc. Am. B 10, 2222–2232 (1993).
[CrossRef]

A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
[CrossRef]

A. Piskarskas, A. Stabinis, and A. Yankauskas, “Phase phenomena in parametric amplifiers and generators of ultrashort light pulses,” Sov. Phys. Usp. 29, 969–979 (1986).
[CrossRef]

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Pyo, S. J.

Rae, C. F.

Redkorachev, V. I.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Reisner, S.

Renard, P. A.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Riedle, E.

Righini, R.

Ross, I. N.

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

I. N. Ross, J. L. Collier, P. Matousek, C. N. Danson, D. Neely, R. M. Allott, D. A. Pepler, C. Hernandez-Gomez, and K. Osvay, “Generation of terawatt pulses by use of optical parametric chirped pulse amplification,” Appl. Opt. 39, 2422–2427 (2000).
[CrossRef]

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

I. N. Ross and K. Osvay, “Efficient broad bandwidth frequency mixing in dispersive media,” Opt. Quantum Electron. 28, 83–86 (1996).
[CrossRef]

K. Osvay and I. N. Ross, “Broadband sum-frequency generation by chirp-assisted group-velocity matching,” J. Opt. Soc. Am. B 13, 1431–1438 (1996).
[CrossRef]

Rotermund, F.

F. Rotermund, V. Petrov, and F. Noack, “Femtosecond non-collinear parametric amplification in the mid-infrared,” Opt. Commun. 169, 183–188 (1999).
[CrossRef]

Sakane, I.

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Sauteret, C. J.

Shirakawa, A.

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Sirutkaitis, V.

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Solcia, C.

Speck, D. R.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Stabinis, A.

R. Danielius, A. Piskarskas, A. Stabinis, G. P. Banfi, P. Di Trapani, and R. Righini, “Traveling-wave parametric generation of widely tunable, highly coherent femtosecond light pulses,” J. Opt. Soc. Am. B 10, 2222–2232 (1993).
[CrossRef]

A. Piskarskas, A. Stabinis, and A. Yankauskas, “Phase phenomena in parametric amplifiers and generators of ultrashort light pulses,” Sov. Phys. Usp. 29, 969–979 (1986).
[CrossRef]

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Stagira, S.

Szabo, G.

G. Szabo and Z. Bor, “Frequency conversion of ultrashort pulses,” Appl. Phys. B 58, 237–241 (1994).
[CrossRef]

Takasaka, H.

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Towrie, M.

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

Usmanov, T.

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Wang, J.

Widmayer, C. C.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Wilhelm, T.

Williams, W. H.

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Yamanaka, C.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Yamanaka, M.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Yankauskas, A.

A. Piskarskas, A. Stabinis, and A. Yankauskas, “Phase phenomena in parametric amplifiers and generators of ultrashort light pulses,” Sov. Phys. Usp. 29, 969–979 (1986).
[CrossRef]

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Zhang, S. K.

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Zhou, G.

Appl. Opt. (1)

Appl. Phys. B (2)

K. Osvay, G. Kurdi, J. Klebniczki, M. Csatari, I. N. Ross, E. J. Divall, C. J. Hooker, and A. J. Langley, “Broadband amplification of ultraviolet laser pulses,” Appl. Phys. B 74, 163–169 (2002).
[CrossRef]

G. Szabo and Z. Bor, “Frequency conversion of ultrashort pulses,” Appl. Phys. B 58, 237–241 (1994).
[CrossRef]

Appl. Phys. Lett. (1)

A. Shirakawa, I. Sakane, H. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

IEEE J. Quantum Electron. (1)

R. A. Baumgartner and R. L. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. QE-15, 432–444 (1979).
[CrossRef]

J. Appl. Phys. (1)

I. Jovanovic, B. J. Comaskey, and D. M. Pennington, “Angular effects and beam quality in optical parametric amplification,” J. Appl. Phys. 90, 4328–4337 (2001).
[CrossRef]

J. Opt. Soc. Am. B (6)

JETP Lett. (1)

R. Danelius, A. Piskarskas, V. Sirutkaitis, A. Stabinis, and A. Yankauskas, “Chirp reversal of picosecond light pulses in parametric amplification in quadratically nonlinear media,” JETP Lett. 42, 122–124 (1985).

Opt. Commun. (4)

F. Rotermund, V. Petrov, and F. Noack, “Femtosecond non-collinear parametric amplification in the mid-infrared,” Opt. Commun. 169, 183–188 (1999).
[CrossRef]

A. Dubeitis, G. Jonasauskas, and A. Piskarskas, “Powerful femtosecond pulse generation by chirped and stretched pulse parametric amplification in BBO crystal,” Opt. Commun. 88, 437–440 (1992).
[CrossRef]

I. N. Ross, P. Matousek, M. Towrie, A. J. Langley, and J. L. Collier, “The prospects for ultra-short pulse duration and ultra-high intensity using optical parametric amplifiers,” Opt. Commun. 144, 125–133 (1997).
[CrossRef]

S. K. Zhang, M. Fujita, M. Yamanaka, M. Nakatsuka, Y. Izawa, and C. Yamanaka, “Study of the stability of optical parametric amplification,” Opt. Commun. 184, 451–455 (2000).
[CrossRef]

Opt. Lett. (5)

Opt. Quantum Electron. (1)

I. N. Ross and K. Osvay, “Efficient broad bandwidth frequency mixing in dispersive media,” Opt. Quantum Electron. 28, 83–86 (1996).
[CrossRef]

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
[CrossRef]

Proc. SPIE (1)

C. C. Widmayer, O. S. Jones, D. R. Speck, W. H. Williams, P. A. Renard, and J. K. Lawson, “The NIF’s power and energy ratings for flat-in-time pulses,” in Third International Conference on Solid State Lasers for Application to Inertial Confinement Fusion, W. H. Lowdermilk, ed., Supplement to Proc. SPIE 3492, 11–21 (1998).

Sov. J. Quantum Electron. (2)

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, E. A. Ibragimov, Sh. R. Kamalov, T. Usmanov, and A. D. Kadzhaev, “Highly efficient parametric amplification of optical beams. 1. Optimisation of the profiles of interacting waves in parametric amplification,” Sov. J. Quantum Electron. 20, 1100–1103 (1990).
[CrossRef]

I. A. Begishev, A. A. Gulanov, E. A. Erofeev, Sh. R. Kamalov, V. I. Redkorachev, and T. Usmanov, “Total conversion of the pump energy into a subharmonic wave in parametric amplification of signals,” Sov. J. Quantum Electron. 16, 1292–1293 (1986).
[CrossRef]

Sov. Phys. Usp. (1)

A. Piskarskas, A. Stabinis, and A. Yankauskas, “Phase phenomena in parametric amplifiers and generators of ultrashort light pulses,” Sov. Phys. Usp. 29, 969–979 (1986).
[CrossRef]

Other (1)

R. L. Sutherland, ed., Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).

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Figures (19)

Fig. 1
Fig. 1

Phase-matching k-vector triangle for noncollinear optical parametric amplification.

Fig. 2
Fig. 2

A, Variation of the phase-matching angle with the noncollinear angle for a BBO OPA with a 532-nm pump and an 800-nm signal beam. B, Condition for maximum gain bandwidth. C, Condition for maximum angular tolerance for the pump beam.

Fig. 3
Fig. 3

Chirp compensation scheme for a collinear BBO for wavelengths close to 532 nm for the pump and 800 nm for the signal: (a) the required variation of pump wavelength with signal wavelength to maintain phase matching and (b) the ratio of pump-to-signal pulse chirp necessary to maintain phase matching.

Fig. 4
Fig. 4

Energy conversion in an OPA from pump (upper curves) to signal (lower curves) for a wavelength with perfect phase matching and a wavelength with a phase mismatch of 3π at z=za. Solution is for a plane wave with uniform intensity in space and time.

Fig. 5
Fig. 5

Axial variation of output signal beam parameters for a BBO OPA with a spatially and temporally uniform pump beam at 532 nm and a collinear 800-nm signal beam uniform in space and time and having large input spectral bandwidth: (a) comparison of the energy transfer efficiency into the signal and the signal spectral bandwidth and (b) comparison of the energy transfer efficiency and the efficiency–bandwidth product.

Fig. 6
Fig. 6

(a) Amplified signal intensity and phase for the maximum efficiency–bandwidth product of Fig. 5. The crystal length is 1.5 mm and the pump intensity is 120 GW/cm2. (b) Fourier transform of this spectrum, indicating the optimum recompressed pulse profile. Phase terms up to the cubic are assumed to be compensated.

Fig. 7
Fig. 7

Variation of OPA gain bandwidth with gain at either constant intensity or constant crystal length for BBO at degeneracy.

Fig. 8
Fig. 8

Operational limits for pump intensity versus crystal length of a BBO OPA as determined by the required gain, the nonlinear B integral limit, and the damage threshold.

Fig. 9
Fig. 9

Optimum performance of a BBO OPA of 1.5-mm length in noncollinear geometry for a 532-nm, 120-GW/cm2 pump beam and 800-nm signal beam: (a) amplified spectral intensity and phase, and (b) pulse profile as determined by the Fourier transform of the spectral amplitude and phase after compensation for phase terms up to the quartic.

Fig. 10
Fig. 10

Effects of the optical parametric phase on the calculated pulse profile: (a) assuming constant spectral phase, (b) taking account of all phase terms of Fig. 9, (c) taking account of phase terms only higher than the quartic.

Fig. 11
Fig. 11

Calculated increase in the gain spectral bandwidth for the collinear degenerate BBO OPA arising from an angular change to introduce a phase mismatch at the central wavelength.

Fig. 12
Fig. 12

Performance of a collinear degenerate BBO OPA with Gaussian-shaped pulses of equal duration for the pump and the signal. The upper curve is the input signal spectrum (magnified greatly) and the lower curves show the output amplified signal for (i) maximum efficiency and (ii) maximum efficiency–bandwidth product.

Fig. 13
Fig. 13

Performance of a collinear degenerate BBO OPA with Gaussian-shaped pulses of equal duration for the pump and the signal. The upper curve is the input signal spectrum and the lower curves show the output amplified signal for (i) maximum efficiency–bandwidth product with additional crystal detuning and (ii) maximum efficiency–bandwidth product without detuning.

Fig. 14
Fig. 14

Variation of the normalized efficiency–bandwidth product with the ratio of pump-to-signal pulse duration for the example of Fig. 12.

Fig. 15
Fig. 15

Optimized design for a petawatt OPCPA system pumped by a Nd:glass laser. Note the inverted profile of the signal from the second amplifier to enable optimum performance of the final power amplifier.

Fig. 16
Fig. 16

Variation of the calculated recompressed power (normalized) of the petawatt OPCPA of Fig. 15 with the pump power, showing increased stability with increased saturation of the system.

Fig. 17
Fig. 17

Design for an ultrahigh-power multipump OPCPA system.

Fig. 18
Fig. 18

Performance of a collinear degenerate BBO optical parametric amplifier with Gaussian-shaped pulses of equal duration for the pump and the signal. The output signal profile was calculated by use of (i) the analytical solution and (ii) numerical modeling.

Fig. 19
Fig. 19

Output signal temporal profile calculated by use of numerical modeling for pulse lengths in the BBO OPA of (i) 4.8, (ii) 1.2, and (iii) 0.6 ps. The group transit time difference in the crystal was 0.43 ps.

Equations (31)

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2gz=±0f(z) df{p(1-f)(f+γs2)(f+γi2)-[γsγi cos θ(0)p+fΔk/2g]2}1/2,
g=4πdeffIp(0)20npnsnicλsλi1/2;
γs2=ωpωs Is(0)Ip(0),γi2=ωpωi Ii(0)Ip(0)
2gz=±0f df[p(1-f)(f+γs2)f-(Δk/2g)2f2]1/2.
fmax2-1-γs2-1p Δk2g2fmax-γs2=0.
Is=fIp(0) ωsωp+Is(0).
Ws=IsdAdt.
dϕsdz=-K ωs2ks ρpρiρs cos θ,dϕidz=-K ωi2ki ρpρsρi cos θ,
dϕpdz=-K ωp2kp ρsρiρp cos θ,
cos θ=-Γ+δk2ωpgup2upusui,
dϕsdz=ωs(ωpgΓI0+ΔkIp/2ωp)Is,
dϕidz=ωi(ωpgΓI0+ΔkIp/2ωp)Ii,
dϕpdz=ωp3/2gΓI0Ip+Δk2.
dϕsdz=-Δk2 1-γs2(f+γs2),
dϕidz=-Δk2,dϕpdz=-Δk2 f1-f.
ϕs=ϕs(0)-Δkz2+Δkγs22  dzf+γs2,
ϕi=ϕp(0)-ϕs(0)-π2-Δkz2,
ϕp=ϕp(0)-Δk2  fdz1-f.
ϕs=ϕs(0)-Δkz2+tan-1Δk2[g2-(Δk/2)2]1/2×tanh[g2-(Δk/2)2]1/2z.
2kpks(1-cos α)=ki2-(kp-ks)2,
np-2-npo-2=(npe-2-npo-2)sin2 ξ,
kp(1-cos α)=kp-ks-kingi/ngs.
cos β=[ngi/ngs].
sin α=ki/kp sin(cos-1 ngi/ngs).
cos γ=ngi/ngp,sin α=niλs sin γ/nsλi.
dϕ=Lki (kp-ks cos α) kpnp dnpdξ+kpks sin αdζ,
sin α=12 npλsnsλp-cos αnp2(npe-2-npo-2)sin 2ξ.
0LIdzA,
E˜sz=-iωsnscdeffE˜pE˜i* exp(-iΔkz),
E˜iz=-iωinicdeffE˜pE˜s* exp(-iΔkz),
E˜pz=-iωpnpcdeffE˜sE˜i exp(iΔkz).

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