Abstract

We show that the output Stoke pulse from a continuously (CW) pumped stimulated Brillouin scattering (SBS) amplifier is the sum of the transmitted input Stokes pulse, which propagates undistorted through the medium without amplification and additional delay, and of a Stokes shifted pump signal reflected by the electrostrictively induced acoustic wave, which contributes to the Stokes output signal with a delay determined by the time required for build up of the acoustic wave.

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  1. D. Pohl and W. Kaiser, Phys. Rev. B 1, 31 (1970).
    [CrossRef]
  2. A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
    [CrossRef]
  3. N. A. Olsson and J. P. van der Ziel, Appl. Phys. Lett. 48, 1329 (1986).
    [CrossRef]
  4. V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
    [CrossRef]
  5. N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).
  6. V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).
  7. B. C. Rodgers, T. H. Russell, and W. B. Roh, Opt. Lett. 24, 1124 (1999).
    [CrossRef]
  8. Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
    [CrossRef]
  9. V. I. Kovalev, N. E. Kotova, and R. G. Harrison, Opt. Express, 17, 2826 (2009).
    [CrossRef]
  10. B. Y. Zeldovich, N. F. Pilipetskii, and V. V. Shkunov, Optical Phase Conjugation (Springer-Verlag, 1985).
  11. R. W. Boyd, Nonlinear Optics (Academic, 2003).
  12. V. I. Kovalev and R. G. Harrison, Opt. Commun. 204, 349 (2002).
    [CrossRef]
  13. P. Dragic, J. Non-Cryst. Solids 355, 403 (2009).
  14. B. Y. Zeldovich and A. N. Pilipetskii, Sov. J Quantum Electron. 16, 546 (1986).

2009 (2)

2005 (1)

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

2002 (1)

V. I. Kovalev and R. G. Harrison, Opt. Commun. 204, 349 (2002).
[CrossRef]

1999 (1)

1993 (1)

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

1986 (3)

A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
[CrossRef]

N. A. Olsson and J. P. van der Ziel, Appl. Phys. Lett. 48, 1329 (1986).
[CrossRef]

B. Y. Zeldovich and A. N. Pilipetskii, Sov. J Quantum Electron. 16, 546 (1986).

1980 (1)

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

1971 (1)

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

1970 (1)

D. Pohl and W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Andreev, N. F.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Bespalov, V. I.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Bigelow, M. S.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Boyd, R. W.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

R. W. Boyd, Nonlinear Optics (Academic, 2003).

Dragic, P.

P. Dragic, J. Non-Cryst. Solids 355, 403 (2009).

Efimkov, V. F.

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

Erokhin, A. I.

A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
[CrossRef]

Faizullov, F. S.

A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
[CrossRef]

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

Gaeta, A. L.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Gauthier, D. J.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Harrison, R. G.

Kaiser, W.

D. Pohl and W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Kiselev, A. M.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Kotova, N. E.

Kovalev, V. I.

V. I. Kovalev, N. E. Kotova, and R. G. Harrison, Opt. Express, 17, 2826 (2009).
[CrossRef]

V. I. Kovalev and R. G. Harrison, Opt. Commun. 204, 349 (2002).
[CrossRef]

A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
[CrossRef]

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

Matveev, A. Z.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Mikhailov, S. I.

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

Okawachi, Y.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Olsson, N. A.

N. A. Olsson and J. P. van der Ziel, Appl. Phys. Lett. 48, 1329 (1986).
[CrossRef]

Pasmanic, G. A.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Pilipetskii, A. N.

B. Y. Zeldovich and A. N. Pilipetskii, Sov. J Quantum Electron. 16, 546 (1986).

Pilipetskii, N. F.

B. Y. Zeldovich, N. F. Pilipetskii, and V. V. Shkunov, Optical Phase Conjugation (Springer-Verlag, 1985).

Pohl, D.

D. Pohl and W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Popovichev, V. I.

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

Rgulskii, V. V.

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

Rodgers, B. C.

Roh, W. B.

Russell, T. H.

Schweinsberg, A.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Sharping, J. E.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Shilov, A. A.

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

Shkunov, V. V.

B. Y. Zeldovich, N. F. Pilipetskii, and V. V. Shkunov, Optical Phase Conjugation (Springer-Verlag, 1985).

Sobolev, V. B.

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

van der Ziel, J. P.

N. A. Olsson and J. P. van der Ziel, Appl. Phys. Lett. 48, 1329 (1986).
[CrossRef]

Zeldovich, B. Y.

B. Y. Zeldovich and A. N. Pilipetskii, Sov. J Quantum Electron. 16, 546 (1986).

B. Y. Zeldovich, N. F. Pilipetskii, and V. V. Shkunov, Optical Phase Conjugation (Springer-Verlag, 1985).

Zu, Z.

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Zubarev, I. G.

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

Appl. Phys. Lett. (1)

N. A. Olsson and J. P. van der Ziel, Appl. Phys. Lett. 48, 1329 (1986).
[CrossRef]

J. Non-Cryst. Solids (1)

P. Dragic, J. Non-Cryst. Solids 355, 403 (2009).

Opt. Commun. (1)

V. I. Kovalev and R. G. Harrison, Opt. Commun. 204, 349 (2002).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. B (1)

D. Pohl and W. Kaiser, Phys. Rev. B 1, 31 (1970).
[CrossRef]

Phys. Rev. Lett. (1)

Y. Okawachi, M. S. Bigelow, J. E. Sharping, Z. Zu, A. Schweinsberg, D. J. Gauthier, R. W. Boyd, and A. L. Gaeta, Phys. Rev. Lett. 94, 153902 (2005).
[CrossRef]

Quantum Electron. (1)

V. F. Efimkov, I. G. Zubarev, S. I. Mikhailov, and V. B. Sobolev, Quantum Electron. 23, 890 (1993).
[CrossRef]

Sov. J Quantum Electron. (2)

A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, Sov. J Quantum Electron. 16, 872 (1986).
[CrossRef]

B. Y. Zeldovich and A. N. Pilipetskii, Sov. J Quantum Electron. 16, 546 (1986).

Sov. Phys. JETP Lett. (2)

N. F. Andreev, V. I. Bespalov, A. M. Kiselev, A. Z. Matveev, G. A. Pasmanic, and A. A. Shilov, Sov. Phys. JETP Lett. 32, 625 (1980).

V. I. Kovalev, V. I. Popovichev, V. V. Rgulskii, and F. S. Faizullov, Sov. Phys. JETP Lett. 14, 625 (1971).

Other (2)

B. Y. Zeldovich, N. F. Pilipetskii, and V. V. Shkunov, Optical Phase Conjugation (Springer-Verlag, 1985).

R. W. Boyd, Nonlinear Optics (Academic, 2003).

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Figures (4)

Fig. 1.
Fig. 1.

The setup: M1–M6—mirrors, L1–L3—lenses with NA=0.4 and f=6.3mm, D1–D3—photo-detectors, BSC—beam splitter (50/50), FI—Faraday isolator, FE—fiber ends, FUT—fiber under test.

Fig. 2.
Fig. 2.

Typical oscilloscope traces of input (1), output (2), Stokes pulses in FUT for tp=150ns (a), and 20 ns (b). The time scale is 500ns/div.

Fig. 3.
Fig. 3.

Experimental (solid curves) and theoretical (dashed curves) dynamics of the incident (1), output Stokes pulses (2), and of their difference (3) for tp=150ns, τ=4ns, and GL=1.1.

Fig. 4.
Fig. 4.

Experimental (solid curves) and theoretical (dashed curves) amplitudes and dynamics of the incident (1), output Stokes pulses (2), and of their difference (3) for tp=20ns, τ=4ns, and GL=2.4 (a), 1.75 (b), and 1.2 (c).

Equations (6)

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

ESz+ncESt=iωS2cnερρ*(z,t)Ep,
ρt+(Γ02+iδΩ)ρ=iρ0ερΩB8πvs2EpES*(z,t).
ES(z,t)=ES0(z,t)+Gzτ0t(etϑτ)[I1(η)/η]ES0(ϑ)dϑ,
ρ(t)=iρ0ερΩB8πτνs2Ep0t(etϑτ)I0(η)ES0*(ϑ)dϑ,
IS(L,t)=IS0(L,t)+|GLτ0t(etϑτ)·[I1(η)/η]ES0(ϑ)dϑ|2,
IS(z=0,t)=|Es(z=0,t)|2=IS0(3.5t/tp)2e3.5t/tp

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