Abstract

A Brillouin-enhanced four-wave mixing phase conjugator featuring a field of view that varies by approximately an order of magnitude, i.e., from 2 to 20 mrad, is described. We control this variable field of view by utilizing a slightly noncollinear pumping geometry and by adjusting the pump–pump frequency difference to optimize the phase mismatch for the overall process. A model that describes the interplay between frequency and geometry to the Brillouin-enhanced four-wave-mixing phase mismatch is found to predict the expandable field of view.

© 1994 Optical Society of America

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References

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  1. K. R. MacDonald, J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
    [CrossRef] [PubMed]
  2. C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
    [CrossRef]
  3. A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
    [CrossRef]
  4. J. R. Ackerman, P. S. Lebow, J. Opt. Soc. Am. B 11, 1000 (1994).
    [CrossRef]
  5. I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).
  6. I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
    [CrossRef]
  7. A. Z. Matveev, Sov. J. Quantum Electron. 17, 466 (1987).
    [CrossRef]
  8. D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
    [CrossRef]
  9. D. E. Watkins, A. M. Scott, K. D. Ridley, Opt. Lett. 15, 1267 (1990).
    [CrossRef] [PubMed]
  10. V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
    [CrossRef]

1994 (1)

1991 (1)

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

1990 (2)

D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
[CrossRef]

D. E. Watkins, A. M. Scott, K. D. Ridley, Opt. Lett. 15, 1267 (1990).
[CrossRef] [PubMed]

1989 (2)

C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

1988 (1)

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

1987 (2)

V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
[CrossRef]

A. Z. Matveev, Sov. J. Quantum Electron. 17, 466 (1987).
[CrossRef]

1985 (1)

K. R. MacDonald, J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef] [PubMed]

Ackerman, J. R.

Anikeev, I. Yu.

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

Bespalov, V. I.

V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
[CrossRef]

Denz, C.

C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Feinberg, J.

K. R. MacDonald, J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef] [PubMed]

Glazkov, D. A.

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

Goltz, J.

C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Lebow, P. S.

MacDonald, K. R.

K. R. MacDonald, J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef] [PubMed]

Matveev, A. Z.

A. Z. Matveev, Sov. J. Quantum Electron. 17, 466 (1987).
[CrossRef]

V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
[CrossRef]

Mikhailov, S. I.

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

Pasmanik, G. A.

V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
[CrossRef]

Ridley, K. D.

D. E. Watkins, A. M. Scott, K. D. Ridley, Opt. Lett. 15, 1267 (1990).
[CrossRef] [PubMed]

D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
[CrossRef]

A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

Scott, A. M.

D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
[CrossRef]

D. E. Watkins, A. M. Scott, K. D. Ridley, Opt. Lett. 15, 1267 (1990).
[CrossRef] [PubMed]

A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

Tschudi, T.

C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Watkins, D. E.

D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
[CrossRef]

D. E. Watkins, A. M. Scott, K. D. Ridley, Opt. Lett. 15, 1267 (1990).
[CrossRef] [PubMed]

Zubarev, I. G.

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

IEEE J. Quantum Electron. (2)

A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

D. E. Watkins, A. M. Scott, K. D. Ridley, IEEE J. Quantum Electron. 26, 2130 (1990).
[CrossRef]

J. Opt. Soc. Am. B (1)

JETP Lett (1)

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, JETP Lett 48, 643 (1988).

Opt. Commun. (1)

C. Denz, J. Goltz, T. Tschudi, Opt. Commun. 72, 129 (1989).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (1)

K. R. MacDonald, J. Feinberg, Phys. Rev. Lett. 55, 821 (1985).
[CrossRef] [PubMed]

Radiophys. Quantum Electron. (1)

V. I. Bespalov, A. Z. Matveev, G. A. Pasmanik, Radiophys. Quantum Electron. 29, 818 (1987).
[CrossRef]

Sov. J. Quantum Electron. (2)

I. Yu. Anikeev, D. A. Glazkov, I. G. Zubarev, S. I. Mikhailov, Sov. J. Quantum Electron. 21, 651 (1991).
[CrossRef]

A. Z. Matveev, Sov. J. Quantum Electron. 17, 466 (1987).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Variation of the noncollinear BEFWM geometry by reduction of the P1–P2 angle α results in an increase in both the SG–P1 angle θ and the conjugator’s field of view δθ. (b) Data points are observed values of α and θ that result in high-reflectivity BEFWM phase conjugation when frequency-degenerate pumps are used. The curve is a best-fit hyperbola [see Eq. (1b)] modeled to the data, (c) Fields of view as a function of α measured for the BEFWM conjugator when frequency-degenerate pumps are used.

Fig. 2
Fig. 2

(a) Variation of the BEFWM configuration by reduction of α and by compensation with an adjustment in Δkfreq results in an increase in δθ without affecting θ. (b) Circles are fields of view measured as a function of α when compensated by Δkfreq changes. The curve is a best-fit hyperbola [see Eq. (2)] modeled to the data. The triangles are the data of Fig. 1(c). (c) Phase-conjugate reflectivity associated with the data (circles) of (b).

Fig. 3
Fig. 3

(a) Wave-vector mismatch and phase mismatch (Δk and ΔkL, respectively) calculated by use of Eq. (1) as a function of Δkgeom for a variety of high-reflectivity BEFWM configurations. [The frequency-degenerate pump case occurs when Δkgeom = 3.0 (arrow)], (b) Two examples of the range of wave-vector and phase mismatch obtained by variation of Δkgeom (by adjustment of θ) before the phase-conjugate energy falls to half its maximum value.

Equations (3)

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Δ k = Δ k freq + Δ k geom ,
Δ k freq = ( ω P 1 ω P 2 + ω PC ω SG ) ( n / c ) , Δ k geom = k θ α .
δ θ = δ ( Δ k ) / k α .

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