Abstract

A propagation-induced transition from linear amplification into an adiabatic following regime is predicted for femtosecond pulses in an inverted semiconductor medium. This process is accompanied by considerable pulse shortening.

© 1994 Optical Society of America

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References

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  1. W. Schäfer, K Henneberger, Phys. Status Solidi B 159, 59 (1990); A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Phys. Rev. A 46, 7179 (1992).
    [CrossRef] [PubMed]
  2. A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Opt. Lett. 18, 1538 (1993).
    [CrossRef] [PubMed]
  3. L. M. Frantz, J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963); A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 517 (1969).
    [CrossRef]
  4. G. P. Agrawal, N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
    [CrossRef]
  5. For a textbook discussion seeH. Haug, S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 2nd ed. (World Scientific, Singapore, 1993), Chap. 12, p. 218.
  6. R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
    [CrossRef]
  7. D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
    [CrossRef]
  8. P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
    [CrossRef] [PubMed]

1993

1992

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

1990

W. Schäfer, K Henneberger, Phys. Status Solidi B 159, 59 (1990); A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Phys. Rev. A 46, 7179 (1992).
[CrossRef] [PubMed]

1989

G. P. Agrawal, N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[CrossRef]

1973

D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
[CrossRef]

1963

L. M. Frantz, J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963); A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 517 (1969).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[CrossRef]

Armstrong, J. A.

D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
[CrossRef]

Binder, R.

A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Opt. Lett. 18, 1538 (1993).
[CrossRef] [PubMed]

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Brown de Colstoun, F.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Courtens, E.

D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
[CrossRef]

Frantz, L. M.

L. M. Frantz, J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963); A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 517 (1969).
[CrossRef]

Gibbs, H. M.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Grischkowsky, D.

D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
[CrossRef]

Harten, P. A.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Haug, H.

For a textbook discussion seeH. Haug, S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 2nd ed. (World Scientific, Singapore, 1993), Chap. 12, p. 218.

Henneberger, K

W. Schäfer, K Henneberger, Phys. Status Solidi B 159, 59 (1990); A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Phys. Rev. A 46, 7179 (1992).
[CrossRef] [PubMed]

Henneberger, K.

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Jin, R.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Khitrova, G.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Knorr, A.

A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Opt. Lett. 18, 1538 (1993).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Koch, S. W.

A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Opt. Lett. 18, 1538 (1993).
[CrossRef] [PubMed]

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

For a textbook discussion seeH. Haug, S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 2nd ed. (World Scientific, Singapore, 1993), Chap. 12, p. 218.

Lee, S. G.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Lindberg, M.

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Nodvik, J. S.

L. M. Frantz, J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963); A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 517 (1969).
[CrossRef]

Olsson, N. A.

G. P. Agrawal, N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[CrossRef]

Paul, A.

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Peyghambarian, N.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Schäfer, W.

W. Schäfer, K Henneberger, Phys. Status Solidi B 159, 59 (1990); A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Phys. Rev. A 46, 7179 (1992).
[CrossRef] [PubMed]

Scott, D.

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Sokoloff, J. P.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Wright, E. M.

A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Opt. Lett. 18, 1538 (1993).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

IEEE J. Quantum Electron.

G. P. Agrawal, N. A. Olsson, IEEE J. Quantum Electron. 25, 2297 (1989).
[CrossRef]

J. Appl. Phys.

L. M. Frantz, J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963); A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 517 (1969).
[CrossRef]

Opt. Lett.

Phys. Rev. B

R. Binder, D. Scott, A. Paul, M. Lindberg, K. Henneberger, S. W. Koch, Phys. Rev. B 45, 1107 (1992).
[CrossRef]

Phys. Rev. Lett.

D. Grischkowsky, E. Courtens, J. A. Armstrong, Phys. Rev. Lett. 31, 422 (1973); L. Allan, J. H. Eberly, Optical Resonance and Two-Level Atoms, 1st ed. (Dover, New York, 1987), Chap. 3, p. 72.
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, N. Peyghambarian, Phys. Rev. Lett. 69, 852 (1992).
[CrossRef] [PubMed]

Phys. Status Solidi B

W. Schäfer, K Henneberger, Phys. Status Solidi B 159, 59 (1990); A. Knorr, R. Binder, E. M. Wright, S. W. Koch, Phys. Rev. A 46, 7179 (1992).
[CrossRef] [PubMed]

Other

For a textbook discussion seeH. Haug, S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 2nd ed. (World Scientific, Singapore, 1993), Chap. 12, p. 218.

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Figures (2)

Fig. 1
Fig. 1

Temporal behavior of the pulse intensity |Ω|2 at different of positions of the semiconductor amplifier. Note that (b) and (d) are scaled by factors of 1/2 and 2/3, respectively.

Fig. 2
Fig. 2

Temporal behavior of the total electron–hole density N at different positions of the semiconductor amplifier.

Equations (3)

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

E ξ = id c υ μ 0 ω 0 ² k 0 V q P q ,
P q η = i ( Δ q ω p ) P q i Ω q ( f q e + f q h 1 ) + P q η | coll ,
f q e / h η = i P q Ω q + c . c . + f q e / h η | coll ,

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