Abstract

We show that induced-grating/four-wave-mixing ultrashort-pulse autocorrelation techniques that use slowly responding media offer the same phase information as interferometric second-harmonic generation. We also show that autocorrelation traces from nearly all possible induced-grating/four-wave-mixing beam geometries provide this information, with all yielding the same theoretical result, an integral of a fourth-order electric-field coherence function. Such traces clearly reveal chirp and self-phase-modulation effects without high-frequency fringes. Experiments using a two-beam-coupling arrangement in photorefractive media illustrate these effects.

© 1990 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. P. Ippen, C. V. Shank, in Ultrashort Light Pulses—Picosecond Techniques and Applications, S. L. Shapiro, ed. (Springer-Verlag, Berlin, 1977), p. 83.
  2. J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
    [CrossRef]
  3. N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
    [CrossRef]
  4. J.-C. M. Diels, J. J. Fontaine, I. C. McMichael, F. Simoni, Appl. Opt. 24, 1270 (1985).
    [CrossRef] [PubMed]
  5. G. Szabo, Z. Bor, A. Müller, Opt. Lett. 13, 746 (1988).
    [CrossRef] [PubMed]
  6. V. S. Idiatulin, Yu. N. Teryaev, Opt. Quantum Electron. 14, 51 (1982).
    [CrossRef]
  7. R. Trebino, E. K. Gustafson, A. E. Siegman, J. Opt. Soc. Am. B 3, 1295 (1986).
    [CrossRef]
  8. X. Zhu, K. Spears, J. Serafin, J. Opt. Soc. Am. B 6, 1356 (1989).
    [CrossRef]
  9. M. De Maziere, A. Bouwen, D. Schoemaker, J. Opt. Soc. Am. B 6, 2370 (1989).
    [CrossRef]
  10. P. M. Fauchet, W. L. Nighan, R. Trebino, in Advances in Laser Science I (American Institute of Physics, New York, 1985), p. 588.
  11. A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.
  12. W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
    [CrossRef]
  13. V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
    [CrossRef]
  14. B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
    [CrossRef]
  15. H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
    [CrossRef]
  16. R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
    [CrossRef]
  17. J. Janszky, G. Corradi, D. S. Hamilton, Appl. Opt. 23, 8 (1984).
    [CrossRef] [PubMed]
  18. J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
    [CrossRef]
  19. J. Janszky, G. Corradi, Opt. Commun. 60, 251 (1986).
    [CrossRef]
  20. H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
    [CrossRef]
  21. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
    [CrossRef]
  22. For unshifted phase gratings no factor of i results, leading to negligible power transfer from the accumulated grating unless the medium is flowing or moving so that some grating quadrature component exists (see Ref. 24).
  23. S. L. Palfrey, T. F. Heinz, J. Opt. Soc. Am. B 2, 674 (1985).
    [CrossRef]
  24. C. C. Hayden, R. Trebino, Appl. Phys. B 51, 1826 (1990).
    [CrossRef]
  25. A. M. Johnson, W. M. Simpson, IEEE J. Quantum Electron. QE-22, 133 (1986).
    [CrossRef]
  26. Y. R. Shen, G.-Z. Yang, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 1.
  27. A. M. Johnson, C. V. Shank, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 399.

1990 (2)

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

C. C. Hayden, R. Trebino, Appl. Phys. B 51, 1826 (1990).
[CrossRef]

1989 (4)

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

X. Zhu, K. Spears, J. Serafin, J. Opt. Soc. Am. B 6, 1356 (1989).
[CrossRef]

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

M. De Maziere, A. Bouwen, D. Schoemaker, J. Opt. Soc. Am. B 6, 2370 (1989).
[CrossRef]

1988 (1)

1986 (3)

J. Janszky, G. Corradi, Opt. Commun. 60, 251 (1986).
[CrossRef]

R. Trebino, E. K. Gustafson, A. E. Siegman, J. Opt. Soc. Am. B 3, 1295 (1986).
[CrossRef]

A. M. Johnson, W. M. Simpson, IEEE J. Quantum Electron. QE-22, 133 (1986).
[CrossRef]

1985 (4)

S. L. Palfrey, T. F. Heinz, J. Opt. Soc. Am. B 2, 674 (1985).
[CrossRef]

N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
[CrossRef]

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

J.-C. M. Diels, J. J. Fontaine, I. C. McMichael, F. Simoni, Appl. Opt. 24, 1270 (1985).
[CrossRef] [PubMed]

1984 (1)

1983 (1)

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

1982 (2)

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

V. S. Idiatulin, Yu. N. Teryaev, Opt. Quantum Electron. 14, 51 (1982).
[CrossRef]

1980 (1)

H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
[CrossRef]

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

1967 (1)

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

Alfano, R. R.

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

Baltrameyunas, R.

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

Basov, N. G.

N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
[CrossRef]

Boggess, T. F.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Bor, Z.

Bouwen, A.

Buchert, J.

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

Bylsma, B.

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

Corradi, G.

Dannelyus, R.

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

De Maziere, M.

Delfyett, P.

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

Diels, J.-C. M.

Dominic, V.

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

Dorsinville, R.

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

Eichler, H. J.

H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
[CrossRef]

Engers, T.

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

Fauchet, P. M.

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

P. M. Fauchet, W. L. Nighan, R. Trebino, in Advances in Laser Science I (American Institute of Physics, New York, 1985), p. 588.

Feinberg, J.

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

Fontaine, J. J.

Giordmaine, J. A.

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

Glass, A. M.

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

Gong, T.

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

Gustafson, E. K.

Hamilton, D. S.

Hayden, C. C.

C. C. Hayden, R. Trebino, Appl. Phys. B 51, 1826 (1990).
[CrossRef]

Heinz, T. F.

Idiatulin, V. S.

V. S. Idiatulin, Yu. N. Teryaev, Opt. Quantum Electron. 14, 51 (1982).
[CrossRef]

Ippen, E. P.

E. P. Ippen, C. V. Shank, in Ultrashort Light Pulses—Picosecond Techniques and Applications, S. L. Shapiro, ed. (Springer-Verlag, Berlin, 1977), p. 83.

Janszky, J.

Johnson, A. M.

A. M. Johnson, W. M. Simpson, IEEE J. Quantum Electron. QE-22, 133 (1986).
[CrossRef]

A. M. Johnson, C. V. Shank, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 399.

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

Klein, U.

H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
[CrossRef]

Krimchansky, S.

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Langhans, D.

H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
[CrossRef]

Liou, L.

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

McMichael, I. C.

Müller, A.

Nighan, W. L.

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

P. M. Fauchet, W. L. Nighan, R. Trebino, in Advances in Laser Science I (American Institute of Physics, New York, 1985), p. 588.

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Olson, D. H.

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

Palfrey, S. L.

Pierce, R. M.

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

Piskarskas, A.

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

Pozhar, V. E.

N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
[CrossRef]

Pustovoit, V. I.

N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
[CrossRef]

Pyatrauskas, M.

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

Rentzepis, P. M.

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

Schoemaker, D.

Schuler, H.

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

Schulz, H.

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

Serafin, J.

Shank, C. V.

E. P. Ippen, C. V. Shank, in Ultrashort Light Pulses—Picosecond Techniques and Applications, S. L. Shapiro, ed. (Springer-Verlag, Berlin, 1977), p. 83.

A. M. Johnson, C. V. Shank, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 399.

Shapiro, S. L.

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

Shen, Y. R.

Y. R. Shen, G.-Z. Yang, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 1.

Siegman, A. E.

Simoni, F.

Simpson, W. M.

A. M. Johnson, W. M. Simpson, IEEE J. Quantum Electron. QE-22, 133 (1986).
[CrossRef]

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

Smirl, A. L.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Spears, K.

Szabo, G.

Teryaev, Yu. N.

V. S. Idiatulin, Yu. N. Teryaev, Opt. Quantum Electron. 14, 51 (1982).
[CrossRef]

Trebino, R.

C. C. Hayden, R. Trebino, Appl. Phys. B 51, 1826 (1990).
[CrossRef]

R. Trebino, E. K. Gustafson, A. E. Siegman, J. Opt. Soc. Am. B 3, 1295 (1986).
[CrossRef]

P. M. Fauchet, W. L. Nighan, R. Trebino, in Advances in Laser Science I (American Institute of Physics, New York, 1985), p. 588.

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

von der Linde, D.

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

Wecht, K. W.

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

Wherrett, B. S.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Yang, G.-Z.

Y. R. Shen, G.-Z. Yang, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 1.

Yao, X. S.

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

Zaitkus, Yu.

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

Zhu, X.

Appl. Opt. (2)

Appl. Phys. (1)

H. J. Eichler, U. Klein, D. Langhans, Appl. Phys. 21, 215 (1980).
[CrossRef]

Appl. Phys. B (1)

C. C. Hayden, R. Trebino, Appl. Phys. B 51, 1826 (1990).
[CrossRef]

Appl. Phys. Lett. (2)

J. A. Giordmaine, P. M. Rentzepis, S. L. Shapiro, K. W. Wecht, Appl. Phys. Lett. 11, 216 (1967).
[CrossRef]

V. Dominic, X. S. Yao, R. M. Pierce, J. Feinberg, Appl. Phys. Lett. 56, 521 (1990).
[CrossRef]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

IEEE J. Quantum Electron. (3)

H. Schulz, H. Schuler, T. Engers, D. von der Linde, IEEE J. Quantum Electron. 25, 2580 (1989).
[CrossRef]

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

A. M. Johnson, W. M. Simpson, IEEE J. Quantum Electron. QE-22, 133 (1986).
[CrossRef]

J. Opt. Soc. Am. B (4)

Opt. Commun. (3)

J. Buchert, R. Dorsinville, P. Delfyett, S. Krimchansky, R. R. Alfano, Opt. Commun. 52, 433 (1985).
[CrossRef]

J. Janszky, G. Corradi, Opt. Commun. 60, 251 (1986).
[CrossRef]

W. L. Nighan, T. Gong, L. Liou, P. M. Fauchet, Opt. Commun. 69, 339 (1989).
[CrossRef]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

V. S. Idiatulin, Yu. N. Teryaev, Opt. Quantum Electron. 14, 51 (1982).
[CrossRef]

Sov. J. Quantum Electron. (2)

N. G. Basov, V. E. Pozhar, V. I. Pustovoit, Sov. J. Quantum Electron. 15, 1429 (1985).
[CrossRef]

R. Baltrameyunas, Yu. Zaitkus, R. Dannelyus, M. Pyatrauskas, A. Piskarskas, Sov. J. Quantum Electron. 12, 1252 (1982).
[CrossRef]

Other (6)

Y. R. Shen, G.-Z. Yang, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 1.

A. M. Johnson, C. V. Shank, in The Supercontinuum Laser Source, R. R. Alfano, ed. (Springer-Verlag, Berlin, 1989), p. 399.

P. M. Fauchet, W. L. Nighan, R. Trebino, in Advances in Laser Science I (American Institute of Physics, New York, 1985), p. 588.

A. M. Johnson, A. M. Glass, W. M. Simpson, B. Bylsma, D. H. Olson, in Proceedings of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), paper ThC4;A. M. Johnson, A. M. Glass, W. M. Simpson, D. H. Olson, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1989), paper WI2;A. M. Johnson, W. M. Simpson, A. M. Glass, M. B. Klein, D. Rytz, R. Trebino, in Proceedings of the Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper MCC5.

E. P. Ippen, C. V. Shank, in Ultrashort Light Pulses—Picosecond Techniques and Applications, S. L. Shapiro, ed. (Springer-Verlag, Berlin, 1977), p. 83.

For unshifted phase gratings no factor of i results, leading to negligible power transfer from the accumulated grating unless the medium is flowing or moving so that some grating quadrature component exists (see Ref. 24).

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 (1)

Fig. 1
Fig. 1

Comparison of ultrashort-pulse autocorrelation methods for three types of pulse. For the chirped pulse, note the narrowing of both the IGA trace and the envelope of the high-frequency fringes in the ISHGA trace. For the SPM pulse, note the narrowing and wiggles in the wings of the IGA trace and the envelope of the high-frequency fringes in the ISHGA trace. The horizontal axis of each plot is time or delay (in pulse lengths) and has a range of four pulse lengths. The scale of the experimental IGA trace of the chirped pulse has been expanded for better visibility; it corresponds to a much more chirped pulse than that shown in the theoretical plots, which are meant for illustration only. The slope of the theoretical linear chirp shown is −8/ pulse length2. Also, the change in theoretical instantaneous frequency of the SPM pulse has maximum and minimum values of ±18/pulse length.

Equations (5)

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

A ( τ ) i j = 1 N j ( t ) j * ( t + τ ) d t .
Δ P ( t , τ ) Re [ N + 1 * ( t ) N + 1 ( t + τ ) × j = 1 N j ( t ) j * ( t + τ ) d t ] .
Δ P ave ( τ ) Re [ j = 1 N N + 1 * ( t ) N + 1 ( t + τ ) × j ( t ) j * ( t + τ ) d t d t ] .
Δ P ave ( τ ) * ( t ) ( t + τ ) ( t ) * ( t + τ ) d t d t ,
Δ P ave ( τ ) | ( t ) * ( t + τ ) d t | 2 ,

Metrics