Abstract

Unlike in established methods, the phase of an optical pulse is calculated from a single time transient in combination with a single spectrum of its polarization state: For dynamically changing elliptical polarizations the vectorial nature of the electromagnetic radiation results in two independent constraints that uniquely determine the chirp and the spectral phase. The practical feasibility of the method is demonstrated, a phase of a four-wave-mixing signal from a semiconductor single quantum well with a pulse energy of only 0.5 fJ is determined, and the accuracy of the setup is analyzed by a numerical simulation.

© 1999 Optical Society of America

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  1. X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).
  2. O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).
  3. D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).
  4. K. W. DeLong, R. Trebino, and W. E. White, J. Opt. Soc. Am. B 12, 2463 (1995).
  5. D. N. Fittinghoff, J. Bowie, J. Sweetser, R. Jennings, M. Krumbügel, K. DeLong, and R. Trebino, Opt. Lett. 21, 884 (1996).
  6. R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
  7. S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).
  8. W. J. Walecki, D. N. Fittinghoff, and A. L. Smirl, Opt. Lett. 22, 81 (1997).
  9. E. J. Akutowicz, Trans. Am. Math. Soc. 83, 179 (1956).
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  11. G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).
  12. B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

1998

S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).

1997

W. J. Walecki, D. N. Fittinghoff, and A. L. Smirl, Opt. Lett. 22, 81 (1997).

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).

1996

1995

1994

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

1956

E. J. Akutowicz, Trans. Am. Math. Soc. 83, 179 (1956).

Akutowicz, E. J.

E. J. Akutowicz, Trans. Am. Math. Soc. 83, 179 (1956).

Axt, V. M.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Bartels, G.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Bigot, J.-Y.

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

Bolger, J. A.

Bowie, J.

Buccafusca, O.

O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).

X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).

Chemla, D. S.

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

Chen, X.

O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).

X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).

DeLong, K.

DeLong, K. W.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

K. W. DeLong, R. Trebino, and W. E. White, J. Opt. Soc. Am. B 12, 2463 (1995).

Faschinger, W.

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Fittinghoff, D. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

W. J. Walecki, D. N. Fittinghoff, and A. L. Smirl, Opt. Lett. 22, 81 (1997).

X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).

D. N. Fittinghoff, J. Bowie, J. Sweetser, R. Jennings, M. Krumbügel, K. DeLong, and R. Trebino, Opt. Lett. 21, 884 (1996).

Giessen, H.

S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).

Gutowski, J.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Haase, B.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Jennings, R.

Krumbügel, M.

Krumbügel, M. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

Kuhl, J.

S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).

Linden, S.

S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).

Mycek, M.-A.

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

Neukirch, U.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Nürnberger, J.

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Paul, A. E.

Pellegrino, J. G.

Richman, B. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

Schäfer, W.

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

Smirl, A. L.

Stahl, A.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Sweetser, J.

Sweetser, J. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

Trebino, R.

Walecki, W. J.

Weiss, S.

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

White, W. E.

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. B

X. Chen, W. J. Walecki, O. Buccafusca, D. N. Fittinghoff, and A. L. Smirl, Phys. Rev. B 56, 9738 (1997).

D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, Phys. Rev. B 50, 8439 (1994).

Phys. Rev. B Rapid Commun.

B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave mixing experiments,” Phys. Rev. B Rapid Commun. (to be published).

Phys. Rev. Lett.

G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998).

Phys. Status Solidi B

S. Linden, H. Giessen, and J. Kuhl, Phys. Status Solidi B 206, 119 (1998).

Rev. Sci. Instrum.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).

Trans. Am. Math. Soc.

E. J. Akutowicz, Trans. Am. Math. Soc. 83, 179 (1956).

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