Abstract

We present an analytical phase expression for an Offner triplet telescope stretcher based on ray tracing and apply it to analyze a chirped-pulse-amplification (CPA) system that includes an Offner stretcher. The results of our calculations show that the aberration caused by an off-center grating arrangement of an Offner stretcher can be used to cancel out the material dispersion of the CPA system. The optimization of the grating position provides a flat and broadband phase window for the CPA system, which leads to high-fidelity recompressed pulses.

© 2002 Optical Society of America

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References

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  1. D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985).
    [CrossRef]
  2. P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
    [CrossRef]
  3. J. P. Chambaret, C. Le Blanc, G. Cheriaux, P. Curley, G. Darpentigny, P. Rousseau, G. Hamoniaux, A. Antonetti, and F. Salin, “Generation of 25-TW, 32-fs pulses at 10 Hz,” Opt. Lett. 21, 1921–1923 (1996).
    [CrossRef] [PubMed]
  4. 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]
  5. C. P. J. Barty, T. Guo, C. Le Blanc, F. Raksi, C. Rose-Petruck, J. Squier, K. R. Wilson, V. V. Yakovlev, and K. Yamakawa, “Generation of 18-fs, multiterawatt pulses by regenerative pulse shaping and chirped-pulse amplification,” Opt. Lett. 21, 668–670 (1996).
    [CrossRef] [PubMed]
  6. J. V. Rudd, G. Korn, S. Kane, J. Squier, G. Mourou, and P. Bado, “Chirped-pulse amplification of 55-fs pulses at 1-kHz repetition rate in a Ti:Al2O3 regenerative amplifier,” Opt. Lett. 18, 2044–2046 (1993).
    [CrossRef]
  7. B. E. Lemoff and C. P. J. Barty, “Quintic-phase-limited, spatially uniform expansion and recompression of ultrashort optical pulses,” Opt. Lett. 18, 1651–1653 (1993).
    [CrossRef] [PubMed]
  8. G. Cheriaux, P. Rousseau, F. Salin, J. P. Chambaret, B. Walker, and L. F. Dimauro, “Aberration-free stretcher design for ultra-short pulse amplification,” Opt. Lett. 21, 414–416 (1996).
    [CrossRef] [PubMed]
  9. S. Kane and J. Squier, “Fourth-order-dispersion limitations of aberration-free chirped-pulse amplification systems,” J. Opt. Soc. Am. B 14, 1237–1244 (1987).
    [CrossRef]
  10. O. E. Martinez, “3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3–1.6μm region,” IEEE J. Quantum Electron. 23, 59–64 (1987).
    [CrossRef]
  11. E. B. Treacy, “Optical pulse compression with diffraction gratings,” IEEE J. Quantum Electron. 5, 454–458 (1969).
    [CrossRef]
  12. A. Offner, “Unit power imaging catoptric anastigmat,” U.S. patent 3, 748, 015 (June 21, 1971).
  13. Z. Zhang, T. Yagi, and T. Arisawa, “Ray-tracing model for stretcher dispersion calculation,” Appl. Opt. 36, 3393–3399 (1997).
    [CrossRef] [PubMed]

1999 (1)

1997 (1)

1996 (3)

1993 (2)

1988 (1)

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

1987 (2)

O. E. Martinez, “3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3–1.6μm region,” IEEE J. Quantum Electron. 23, 59–64 (1987).
[CrossRef]

S. Kane and J. Squier, “Fourth-order-dispersion limitations of aberration-free chirped-pulse amplification systems,” J. Opt. Soc. Am. B 14, 1237–1244 (1987).
[CrossRef]

1985 (1)

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985).
[CrossRef]

1969 (1)

E. B. Treacy, “Optical pulse compression with diffraction gratings,” IEEE J. Quantum Electron. 5, 454–458 (1969).
[CrossRef]

Antonetti, A.

Arisawa, T.

Bado, P.

J. V. Rudd, G. Korn, S. Kane, J. Squier, G. Mourou, and P. Bado, “Chirped-pulse amplification of 55-fs pulses at 1-kHz repetition rate in a Ti:Al2O3 regenerative amplifier,” Opt. Lett. 18, 2044–2046 (1993).
[CrossRef]

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

Barty, C. P. J.

Britten, J. A.

Brown, C.

Chambaret, J. P.

Cheriaux, G.

Curley, P.

Darpentigny, G.

Dimauro, L. F.

Golick, B.

Guo, T.

Hamoniaux, G.

Herman, S.

Kane, S.

Kartz, M.

Korn, G.

Le Blanc, C.

Lemoff, B. E.

Maine, P.

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

Martinez, O. E.

O. E. Martinez, “3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3–1.6μm region,” IEEE J. Quantum Electron. 23, 59–64 (1987).
[CrossRef]

Miller, J.

Mourou, G.

J. V. Rudd, G. Korn, S. Kane, J. Squier, G. Mourou, and P. Bado, “Chirped-pulse amplification of 55-fs pulses at 1-kHz repetition rate in a Ti:Al2O3 regenerative amplifier,” Opt. Lett. 18, 2044–2046 (1993).
[CrossRef]

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985).
[CrossRef]

Pennington, D.

Perry, M. D.

Pessot, M.

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

Powell, H. T.

Raksi, F.

Rose-Petruck, C.

Rousseau, P.

Rudd, J. V.

Salin, F.

Squier, J.

Strickland, D.

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985).
[CrossRef]

Stuart, B. C.

Tietbohl, G.

Treacy, E. B.

E. B. Treacy, “Optical pulse compression with diffraction gratings,” IEEE J. Quantum Electron. 5, 454–458 (1969).
[CrossRef]

Vergino, M.

Walker, B.

Wilson, K. R.

Yagi, T.

Yakovlev, V. V.

Yamakawa, K.

Yanovsky, V.

Zhang, Z.

Appl. Opt. (1)

IEEE J. Quantum Electron. (3)

P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, “Generation of ultrahigh peak power pulses by chirped pulse amplification,” IEEE J. Quantum Electron. 24, 398–403 (1988).
[CrossRef]

O. E. Martinez, “3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3–1.6μm region,” IEEE J. Quantum Electron. 23, 59–64 (1987).
[CrossRef]

E. B. Treacy, “Optical pulse compression with diffraction gratings,” IEEE J. Quantum Electron. 5, 454–458 (1969).
[CrossRef]

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

Opt. Commun. (1)

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 56, 219–221 (1985).
[CrossRef]

Opt. Lett. (6)

Other (1)

A. Offner, “Unit power imaging catoptric anastigmat,” U.S. patent 3, 748, 015 (June 21, 1971).

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Figures (5)

Fig. 1
Fig. 1

Schematic of an Offner triplet stretcher with a pair of gratings. Labels are defined in text.

Fig. 2
Fig. 2

Schematics of a single-grating Offner triplet stretcher including (a) only the design parameters and (b) all the angles and distances.

Fig. 3
Fig. 3

Calculated residual group delay of a single-grating Offner stretcher and a conjugate compressor system for some positions of the grating in the Offner stretcher. Material dispersion is not considered.

Fig. 4
Fig. 4

Calculated residual group delay of a typical CPA system, which consists of a single-grating Offner stretcher, an amplifier, and a compressor. The results are shown for various positions of the grating in the Offner stretcher.

Fig. 5
Fig. 5

Simulation of the pulse intensity shapes of recompressed pulses that are leaving a CPA system for various positions of the grating in an Offner stretcher (a) on a linear scale and (b) on a logarithmic scale. A 20-fs chirp-free incident pulse is assumed. The stretched pulse at a grating position s1=0.63R is recompressed to 22 fs by a conjugate compressor.

Equations (45)

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Φs=(ω/c)[4R-b(1+cos θ)]+2πGd-1 tan(γ-θ),
Φs=ωc[5R-b(1+cos θ)]+2πGd-1 tan(γ-θ).
γ-θ=γ-(θ0+θ1).
p=P0+P1+P2+P3+P4+P5+P6,
P0=PB=l0,
P1=BD=l1,
P2=DE=l2-l3,
P3=EH=l5-l4,
P4=HI=l6-b,
P5=IQ=IJ+JQ=(l6-b)cos(θ0+θ6)+[R-l6 cos(θ0+θ6)+(s6-R)cos θ0].
G=(s6-s1)cos(γ-θ0).
b=Gcos(γ-θ0-θ6)=(s6-s1)cos(γ-θ0)cos(γ-θ0-θ6).
p=C+A-D,
C=2R-(R-s1)cos θ0,
A=Rsin(θ1-ϕ1)1sin θ1+1sin θ2-12 sin(θ3+ϕ3)1sin θ3+1sin θ4+sin(θ5-ϕ5)1sin θ5+1sin θ6+Rsin ϕ6sin θ6 cos θ0,
D=Gcos(γ-θ0-θ6)[1+cos(θ0+θ6)]=b[1+cos(θ0+θ6)].
2πGd-1 tan(γ-θ0-θ6).
2π(G0-G)d-1 tan(γ-θ0),
G0=(2R-2s1)cos(γ-θ0).
b0=2R-2s1.
Φs=ωc(C+A)-ωcb[1+cos(θ0+θ6)]+2πGd[tan(γ-θ0-θ6)-tan(γ-θ0)]+2πG0d tan(γ-θ0).
p=l0+l1+l2-l3+l5-l4+(l6-b)×[1+cos(θ0+θ6)]+R-[l6 cos(θ0+θ6)-(s6-R)cos θ0],
l0=R1-1-s1Rcos θ0,
sin ϕ1=1-s1Rsin θ1,
ϕ2=ϕ1,
θ2=θ1-2ϕ1,
s2=R1+sin ϕ2sin θ2,
l1=Rsin(θ1-ϕ1)sin θ1,
l2=Rsin(θ1-ϕ1)sin θ2,
s3=s2-R/2,
θ3=θ2,
sin ϕ3=s3R/2-1sin θ3,
ϕ4=ϕ3,
θ4=θ3+2ϕ3,
s4=R21-sin ϕ3sin θ4,
l3=R2sin(θ3+ϕ3)sin θ3,
l4=R2sin(θ3+ϕ3)sin θ4,
s5=s4+R/2,
θ5=θ4,
sin ϕ5=1-s5Rsin θ5,
ϕ6=ϕ5,
θ6=θ5-2ϕ5,
s6=R1+sin ϕ6sin θ6,
l5=Rsin(θ5-ϕ5)sin θ5,
l6=Rsin(θ5-ϕ5)sin θ6.

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