Abstract

It is proposed that the process of nonlinear optical phase conjugation can be utilized to compensate for channel dispersion and hence to correct for temporal pulse broadening. Specifically, a four-wave nonlinear interaction is shown to achieve pulse renarrowing. Spectral bandwidth constraints of the input pulse are presented for typical phase-conjugate interaction parameters.

© 1979 Optical Society of America

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References

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  1. B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).
  2. A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
    [CrossRef]
  3. R. W. Hellwarth, J. Opt. Soc. Am. 67, 1 (1977).
    [CrossRef]
  4. A. Yariv, D. M. Pepper, Opt. Lett. 1, 16 (1977).
    [CrossRef] [PubMed]
  5. D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
    [CrossRef]
  6. R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94 (1978).
    [CrossRef] [PubMed]
  7. P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
    [CrossRef]
  8. P. F. Liao, D. M. Bloom, Opt. Lett. 3, 4 (1978), and references therein.
    [CrossRef] [PubMed]
  9. S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978).
    [CrossRef]
  10. D. M. Pepper, D. Fekete, A. Yariv, Appl. Phys. Lett. 33, 41 (1978).
    [CrossRef]
  11. J. H. Marburger, Appl. Phys. Lett. 32, 372 (1978).
    [CrossRef]
  12. See, for example, H. Bode, Network Analysis and Feedback Amplifier Design (Van Nostrand, New York, 1945) or F. G. Stremler, Introduction to Communication Systems (Addison-Wesley, Reading, Mass., 1977).
  13. D. M. Pepper, R. L. Abrams, Opt. Lett. 3, 212 (1978).
    [CrossRef] [PubMed]

1978 (6)

S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978).
[CrossRef]

D. M. Pepper, D. Fekete, A. Yariv, Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

J. H. Marburger, Appl. Phys. Lett. 32, 372 (1978).
[CrossRef]

R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94 (1978).
[CrossRef] [PubMed]

P. F. Liao, D. M. Bloom, Opt. Lett. 3, 4 (1978), and references therein.
[CrossRef] [PubMed]

D. M. Pepper, R. L. Abrams, Opt. Lett. 3, 212 (1978).
[CrossRef] [PubMed]

1977 (4)

R. W. Hellwarth, J. Opt. Soc. Am. 67, 1 (1977).
[CrossRef]

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

A. Yariv, D. M. Pepper, Opt. Lett. 1, 16 (1977).
[CrossRef] [PubMed]

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

1976 (1)

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

1972 (1)

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Abrams, R. L.

Avizonis, P. V.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Bjorklund, G. C.

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

Bloom, D. M.

Bode, H.

See, for example, H. Bode, Network Analysis and Feedback Amplifier Design (Van Nostrand, New York, 1945) or F. G. Stremler, Introduction to Communication Systems (Addison-Wesley, Reading, Mass., 1977).

Bomberger, W. D.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Faisullov, F. S.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Fekete, D.

D. M. Pepper, D. Fekete, A. Yariv, Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

Hellwarth, R. W.

S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978).
[CrossRef]

R. W. Hellwarth, J. Opt. Soc. Am. 67, 1 (1977).
[CrossRef]

Hopf, F. A.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Jacobs, S. F.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Jensen, S. M.

S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978).
[CrossRef]

Liao, P. F.

Lind, R. C.

Marburger, J. H.

J. H. Marburger, Appl. Phys. Lett. 32, 372 (1978).
[CrossRef]

Pepper, D. M.

Popovichev, V. I.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Ragul’skii, V. V.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Tomita, A.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Womack, K. H.

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

Yariv, A.

D. M. Pepper, D. Fekete, A. Yariv, Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

A. Yariv, D. M. Pepper, Opt. Lett. 1, 16 (1977).
[CrossRef] [PubMed]

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

Zel’dovich, B. Ya.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Appl. Phys. Lett. (6)

A. Yariv, Appl. Phys. Lett. 28, 88 (1976).
[CrossRef]

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

S. M. Jensen, R. W. Hellwarth, Appl. Phys. Lett. 32, 166 (1978).
[CrossRef]

D. M. Pepper, D. Fekete, A. Yariv, Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

J. H. Marburger, Appl. Phys. Lett. 32, 372 (1978).
[CrossRef]

P. V. Avizonis, F. A. Hopf, W. D. Bomberger, S. F. Jacobs, A. Tomita, K. H. Womack, Appl. Phys. Lett. 31, 435 (1977).
[CrossRef]

J. Opt. Soc. Am. (1)

JETP Lett. (1)

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, F. S. Faisullov, JETP Lett. 15, 109 (1972).

Opt. Lett. (4)

Other (1)

See, for example, H. Bode, Network Analysis and Feedback Amplifier Design (Van Nostrand, New York, 1945) or F. G. Stremler, Introduction to Communication Systems (Addison-Wesley, Reading, Mass., 1977).

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Figures (2)

Fig. 1
Fig. 1

Schematic diagram of pulse renarrowing scheme. The phase delays of channels 1 and 2 are given by β(ω) and β′(ω), respectively. The input pulse spectral envelope of f1(t) is assumed to be transform limited. BS is a beam splitter.

Fig. 2
Fig. 2

Magnitude and phase of the complex reflection coefficient versus frequency offset for typical four-wave phase conjugator parameters (after Ref. 13).

Equations (14)

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f 1 ( t ) = g ( t ) exp ( i ω 0 t ) ,
g ( t ) = - F ( Ω ) exp ( i Ω t d Ω ) ,
f 1 ( t ) = - F ( Ω ) exp [ i ( ω 0 + Ω ) t ] d Ω .
f 2 ( t ) = - F ( Ω ) exp { i [ ω 0 + Ω ) t - β ( ω 0 + Ω ) L 1 ] } d Ω ,
β ( ω 0 + Ω ) = β ( ω 0 ) + β ω Ω + 1 2 2 β ω 2 Ω 2 + ,
f 2 ( t ) = exp [ i ( ω 0 t - β 0 L 1 ] - F ( Ω ) × exp { i [ Ω ( t - β ω L 1 ) - 1 2 2 β ω 2 Ω 2 L 1 ] } d Ω ,
f 3 ( t ) = exp [ i ( ω 0 t + β 0 L 1 ) ] × - r ( Ω ) F * ( Ω ) exp { i [ - Ω ( t - β ω L 1 ) + 1 2 2 β ω 2 Ω 2 L 1 + ϕ ( Ω ) ] } d Ω .
β ( ω 0 - Ω ) = β 0 - β ω Ω + 1 2 2 β ω 2 Ω 2 + .
f 4 ( t ) = exp [ i ( ω 0 t + β 0 L 1 - β 0 L 2 ) ] - r ( Ω ) F * ( Ω ) × exp { i [ - Ω ( t - β ω L 1 - β ω L 2 ) + 1 2 ( 2 β ω 2 L 1 - 2 β ω 2 L 2 ) Ω 2 + ϕ ( Ω ) ] } d Ω .
2 β ω 2 L 1 = 2 β ω 2 L 2 .
f 4 ( t ) = exp [ i ( ω 0 t + β 0 L 1 - β 0 L 2 + a ) ] - F * ( Ω ) × exp { i [ - Ω ( t - β ω L 1 - β ω L 2 - b ) ] } d Ω .
f 4 ( t ) = e i Ψ [ e i ω 0 t g * ( t - t g ) ] ,
Ψ = β 0 L 1 - β 0 L 2 + a
t g = β ω L 1 + β ω L 2 + b ,

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