Abstract

We demonstrate that a combination of prisms and diffraction gratings can provide not only quadratic but also cubic phase compensation of ultrashort optical pulses. We obtain compressed pulses as short as 6 fsec.

© 1987 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Phase correction of femtosecond optical pulses using a combination of prisms and gratings

C. H. Brito Cruz, P. C. Becker, R. L. Fork, and C. V. Shank
Opt. Lett. 13(2) 123-125 (1988)

Femtosecond laser pulse compression using volume phase transmission holograms

Tsung-Yuan Yang, Ping-Pei Ho, Alvin Katz, R. R. Alfano, and Ronald A. Ferrante
Appl. Opt. 24(13) 2021-2023 (1985)

Cubic-phase-free dispersion compensation in solid-state ultrashort-pulse lasers

B. E. Lemoff and C. P. J. Barty
Opt. Lett. 18(1) 57-59 (1993)

References

  • View by:
  • |
  • |
  • |

  1. C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
    [Crossref]
  2. J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
    [Crossref]
  3. J. M. Halbout and D. Grischkowsky, Appl. Phys. Lett. 45, 1281 (1984).
    [Crossref]
  4. W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
    [Crossref]
  5. E. P. Treacy, IEEE J. Quantum Electron. QE-19, 454 (1969).
    [Crossref]
  6. I. P. Christov and I. V. Tomov, Opt. Commun. 58, 338 (1986).
    [Crossref]
  7. C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.
  8. C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
    [Crossref]
  9. J. A. Valdmanis, R. L. Fork, and J. P. Gordon, Opt. Lett. 10, 131 (1985).
    [Crossref] [PubMed]
  10. W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
    [Crossref] [PubMed]
  11. J. C. Diels, E. W. Van Stryland, and D. Gold, in Proceedings of the First International Conference on Picosecond Phenomena (Springer-Verlag, Berlin, 1978), p. 117.
  12. E. P. Ippen and C. V. Shank, Ultrashort Light Pulses (Springer-Verlag, Berlin, 1977), p. 83.
  13. R. L. Fork, O. E. Martinez, and J. P. Gordon, Opt. Lett. 9, 150 (1984).
    [Crossref] [PubMed]
  14. D. E. Gray, ed., American Institute of Physics Handbook, 3rd ed. (McGraw-Hill, New York, 1972), p. 6-29.
  15. R. Meinel, Opt. Commun. 47, 343 (1983).
    [Crossref]
  16. W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
    [Crossref]

1986 (2)

I. P. Christov and I. V. Tomov, Opt. Commun. 58, 338 (1986).
[Crossref]

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

1985 (2)

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

J. A. Valdmanis, R. L. Fork, and J. P. Gordon, Opt. Lett. 10, 131 (1985).
[Crossref] [PubMed]

1984 (4)

R. L. Fork, O. E. Martinez, and J. P. Gordon, Opt. Lett. 9, 150 (1984).
[Crossref] [PubMed]

W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
[Crossref] [PubMed]

J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
[Crossref]

J. M. Halbout and D. Grischkowsky, Appl. Phys. Lett. 45, 1281 (1984).
[Crossref]

1983 (1)

R. Meinel, Opt. Commun. 47, 343 (1983).
[Crossref]

1982 (2)

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

1969 (1)

E. P. Treacy, IEEE J. Quantum Electron. QE-19, 454 (1969).
[Crossref]

Brito Cruz, C. H.

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.

Christov, I. P.

I. P. Christov and I. V. Tomov, Opt. Commun. 58, 338 (1986).
[Crossref]

Diels, J. C.

J. C. Diels, E. W. Van Stryland, and D. Gold, in Proceedings of the First International Conference on Picosecond Phenomena (Springer-Verlag, Berlin, 1978), p. 117.

Dietel, W.

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

Dopel, E.

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

Downer, M. C.

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
[Crossref] [PubMed]

Fork, R. L.

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

J. A. Valdmanis, R. L. Fork, and J. P. Gordon, Opt. Lett. 10, 131 (1985).
[Crossref] [PubMed]

W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
[Crossref] [PubMed]

R. L. Fork, O. E. Martinez, and J. P. Gordon, Opt. Lett. 9, 150 (1984).
[Crossref] [PubMed]

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.

Fujimoto, J. G.

J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
[Crossref]

Gold, D.

J. C. Diels, E. W. Van Stryland, and D. Gold, in Proceedings of the First International Conference on Picosecond Phenomena (Springer-Verlag, Berlin, 1978), p. 117.

Gordon, J. P.

Grischkowsky, D.

J. M. Halbout and D. Grischkowsky, Appl. Phys. Lett. 45, 1281 (1984).
[Crossref]

Halbout, J. M.

J. M. Halbout and D. Grischkowsky, Appl. Phys. Lett. 45, 1281 (1984).
[Crossref]

Ippen, E. P.

J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
[Crossref]

E. P. Ippen and C. V. Shank, Ultrashort Light Pulses (Springer-Verlag, Berlin, 1977), p. 83.

Knox, W. H.

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
[Crossref] [PubMed]

C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.

Kuhlke, D.

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

Martinez, O. E.

Meinel, R.

R. Meinel, Opt. Commun. 47, 343 (1983).
[Crossref]

Shank, C. V.

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

W. H. Knox, M. C. Downer, R. L. Fork, and C. V. Shank, Opt. Lett. 9, 552 (1984).
[Crossref] [PubMed]

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.

E. P. Ippen and C. V. Shank, Ultrashort Light Pulses (Springer-Verlag, Berlin, 1977), p. 83.

Stolen, R. H.

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

Tomlinson, W. J.

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

Tomov, I. V.

I. P. Christov and I. V. Tomov, Opt. Commun. 58, 338 (1986).
[Crossref]

Treacy, E. P.

E. P. Treacy, IEEE J. Quantum Electron. QE-19, 454 (1969).
[Crossref]

Valdmanis, J. A.

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

J. A. Valdmanis, R. L. Fork, and J. P. Gordon, Opt. Lett. 10, 131 (1985).
[Crossref] [PubMed]

Van Stryland, E. W.

J. C. Diels, E. W. Van Stryland, and D. Gold, in Proceedings of the First International Conference on Picosecond Phenomena (Springer-Verlag, Berlin, 1978), p. 117.

Weiner, A. M.

J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
[Crossref]

Wilhelmi, B.

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

Yen, R.

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

Appl. Phys. Lett. (4)

C. V. Shank, R. L. Fork, R. Yen, R. H. Stolen, and W. J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982).
[Crossref]

J. G. Fujimoto, A. M. Weiner, and E. P. Ippen, Appl. Phys. Lett. 44, 832 (1984).
[Crossref]

J. M. Halbout and D. Grischkowsky, Appl. Phys. Lett. 45, 1281 (1984).
[Crossref]

W. H. Knox, R. L. Fork, M. C. Downer, R. H. Stolen, J. A. Valdmanis, and C. V. Shank, Appl. Phys. Lett. 46, 1120 (1985).
[Crossref]

Chem. Phys. Lett. (1)

C. H. Brito Cruz, R. L. Fork, W. H. Knox, and C. V. Shank, Chem. Phys. Lett. 132, 341 (1986).
[Crossref]

IEEE J. Quantum Electron. (1)

E. P. Treacy, IEEE J. Quantum Electron. QE-19, 454 (1969).
[Crossref]

Opt. Commun. (3)

I. P. Christov and I. V. Tomov, Opt. Commun. 58, 338 (1986).
[Crossref]

R. Meinel, Opt. Commun. 47, 343 (1983).
[Crossref]

W. Dietel, E. Dopel, D. Kuhlke, and B. Wilhelmi, Opt. Commun. 43, 433 (1982).
[Crossref]

Opt. Lett. (3)

Other (4)

C. V. Shank, R. L. Fork, C. H. Brito Cruz, and W. H. Knox, in Ultrafast Phenomena V, G. R. Fleming and A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 179.

J. C. Diels, E. W. Van Stryland, and D. Gold, in Proceedings of the First International Conference on Picosecond Phenomena (Springer-Verlag, Berlin, 1978), p. 117.

E. P. Ippen and C. V. Shank, Ultrashort Light Pulses (Springer-Verlag, Berlin, 1977), p. 83.

D. E. Gray, ed., American Institute of Physics Handbook, 3rd ed. (McGraw-Hill, New York, 1972), p. 6-29.

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 (3)

Fig. 1
Fig. 1

Combined grating and prism sequence used to remove both quadratic and cubic phase distortion. The solid line is a reference line. The dashed line is the path of a plane wave that propagates between the gratings at an angle θ with respect to the normal to the grating faces and between the prism pairs at an angle β with respect to a line drawn between the prism apices. The plane LL′ is a plane of symmetry for the grating sequence, and the plane MM′ is a plane of symmetry for the prism sequence.

Fig. 2
Fig. 2

Experimental plots of an upconverted signal for a set of six wavelengths of the fundamental produced by nonlinear mixing of the compressed and uncompressed pulses in KDP versus relative delay between the pulses. The relative delay at which the peak upconverted signal occurs is a direct measure of the relative delay experienced by a given wavelength component of the compressed pulse. These data represent the optimum pulse compression obtained by using only the grating portion of the compression sequence shown in Fig. 1.

Fig. 3
Fig. 3

Experimental interferometric autocorrelation trace for a compressed pulse for lp = 71 cm and lg = 0.5 cm. The interference maxima and minima calculated for the interferometric autocorrelation trace for a hyperbolic-secant-squared pulse of 6-fsec duration are indicated by crosses. The close agreement between experiment and theory demonstrates an absence of significant phase distortion in the compressed pulse.

Tables (2)

Tables Icon

Table 1 Second and Third Derivatives of Phase with Respect to Frequency for a Double Prism Pair, a Double Grating Pair, and Material

Tables Icon

Table 2 Second and Third Derivatives of Phase with Respect to Frequency for the Double Prism Pair and Double Grating Pair Described in the Texta

Equations (11)

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

ϕ ( ω ) = ϕ ( ω 0 ) + ( d ϕ d ω ) ω 0 ( ω ω 0 ) + 1 2 ( d 2 ϕ d ω 2 ) ω 0 × ( ω ω 0 ) 2 + 1 6 ( d 3 ϕ d ω 3 ) ω 0 ( ω ω 0 ) 3 ,
d 2 ϕ p d ω 2 = λ 3 2 π 2 c 2 d 2 P d λ 2
d 2 ϕ g d ω 2 = λ 3 l g π c 2 d 2 [ 1 ( λ d sin γ ) 2 ] 3 / 2
d 2 ϕ m d ω 2 = λ 3 l m 2 π c 2 d 2 n m d λ 2
d 3 ϕ p d ω 3 = λ 4 4 π 2 c 3 ( 3 d 2 P d λ 2 + λ d 3 P d λ 3 )
d 3 ϕ g d ω 3 = d 2 ϕ g d ω 2 6 π λ c × ( 1 + λ d sin γ sin 2 γ ) [ 1 ( λ d sin γ ) 2 ]
d 3 ϕ m d ω 3 = λ 4 l m 4 π 2 c 3 ( 3 d 2 n m d λ 2 + λ d 3 n m d λ 3 )
d 2 P d λ 2 = 4 [ d 2 n d λ 2 + ( 2 n n 3 ) ( d n d λ ) 2 ] l p sin β 8 ( d n d λ ) 2 l p cos β
d 3 P d λ 3 = 4 d 3 n d λ 3 l p sin β 24 d n d λ d 2 n d λ 2 l p cos β
d 2 ϕ d ω 2 ( fsec 2 )
d 3 ϕ d ω 3 ( fsec 3 )

Metrics