Abstract

The effect of temperature variation along a high-power fiber amplifier on the stimulated Brillouin scattering (SBS) threshold is considered theoretically. We show that for an end-pumped rare-earth-doped double-clad fiber the inhomogeneous distribution of temperature, which is caused by the absorption of pump radiation, may result in total suppression of SBS even for output powers well above 200W.

© 2006 Optical Society of America

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  1. I. Zawischa, K. Plamann, C. Fallnich, H. Welling, H. Zellmer, and A. Tünnermann, Opt. Lett. 24, 469 (1999).
    [CrossRef]
  2. A. N. Pilipetskii and V. V. Shkunov, Sov. J. Quantum Electron. 15, 284 (1985).
    [CrossRef]
  3. A. Liem, J. Limpert, H. Zellmer, and A. Tünnermann, Opt. Lett. 28, 1537 (2003).
    [CrossRef] [PubMed]
  4. Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.
  5. D. C. Brown and H. J. Hoffmann, IEEE J. Quantum Electron. 37, 207 (2001).
    [CrossRef]
  6. Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
    [CrossRef]
  7. A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford U. Press, 1997).
  8. Y. Imai and N. Shimada, IEEE Photon. Technol. Lett. 5, 1335 (1993).
    [CrossRef]
  9. H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
    [CrossRef]
  10. V. I. Kovalev and R. G. Harrison, Opt. Lett. 27, 2022 (2002).
    [CrossRef]
  11. S. Le Floch and P. Cambon, Opt. Commun. 219, 395 (2003).
    [CrossRef]
  12. V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
    [CrossRef]
  13. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).
  14. C. L. Tang, J. Appl. Phys. 37, 2945 (1966).
    [CrossRef]

2004

Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
[CrossRef]

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

2003

2002

2001

D. C. Brown and H. J. Hoffmann, IEEE J. Quantum Electron. 37, 207 (2001).
[CrossRef]

1999

1993

Y. Imai and N. Shimada, IEEE Photon. Technol. Lett. 5, 1335 (1993).
[CrossRef]

1992

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

1985

A. N. Pilipetskii and V. V. Shkunov, Sov. J. Quantum Electron. 15, 284 (1985).
[CrossRef]

1966

C. L. Tang, J. Appl. Phys. 37, 2945 (1966).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Alegria, C.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Alvarez-Chavez, J.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Brown, D. C.

D. C. Brown and H. J. Hoffmann, IEEE J. Quantum Electron. 37, 207 (2001).
[CrossRef]

Cambon, P.

S. Le Floch and P. Cambon, Opt. Commun. 219, 395 (2003).
[CrossRef]

Chraplyvy, A. R.

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

Chryssou, C. E.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Codemard, C. A.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Derosier, R. M.

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

Dupriez, P.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Fallnich, C.

Harrison, R. G.

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

V. I. Kovalev and R. G. Harrison, Opt. Lett. 27, 2022 (2002).
[CrossRef]

Hickey, L. M. B.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Hoffmann, H. J.

D. C. Brown and H. J. Hoffmann, IEEE J. Quantum Electron. 37, 207 (2001).
[CrossRef]

Horley, R.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Imai, Y.

Y. Imai and N. Shimada, IEEE Photon. Technol. Lett. 5, 1335 (1993).
[CrossRef]

Jeong, Y.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Jopson, R. M.

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

Kovalev, V. I.

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

V. I. Kovalev and R. G. Harrison, Opt. Lett. 27, 2022 (2002).
[CrossRef]

Le Floch, S.

S. Le Floch and P. Cambon, Opt. Commun. 219, 395 (2003).
[CrossRef]

Liem, A.

Limpert, J.

Mao, H. P.

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

Nilsson, J.

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Payne, D. N.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Pilipetskii, A. N.

A. N. Pilipetskii and V. V. Shkunov, Sov. J. Quantum Electron. 15, 284 (1985).
[CrossRef]

Plamann, K.

Po, H.

Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
[CrossRef]

Sahu, J. K.

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Shimada, N.

Y. Imai and N. Shimada, IEEE Photon. Technol. Lett. 5, 1335 (1993).
[CrossRef]

Shkunov, V. V.

A. N. Pilipetskii and V. V. Shkunov, Sov. J. Quantum Electron. 15, 284 (1985).
[CrossRef]

Soh, D. B. S.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Tang, C. L.

C. L. Tang, J. Appl. Phys. 37, 2945 (1966).
[CrossRef]

Tkach, R. W.

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

Tünnermann, A.

Turner, P. W.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Wang, Y.

Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
[CrossRef]

Wanzcyk, L.

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

Welling, H.

Xu, C.-Q.

Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
[CrossRef]

Yariv, A.

A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford U. Press, 1997).

Zawischa, I.

Zellmer, H.

IEEE J. Quantum Electron.

D. C. Brown and H. J. Hoffmann, IEEE J. Quantum Electron. 37, 207 (2001).
[CrossRef]

IEEE Photon. Technol. Lett.

Y. Wang, C.-Q. Xu, and H. Po, IEEE Photon. Technol. Lett. 16, 63 (2004).
[CrossRef]

Y. Imai and N. Shimada, IEEE Photon. Technol. Lett. 5, 1335 (1993).
[CrossRef]

H. P. Mao, R. W. Tkach, A. R. Chraplyvy, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 4, 66 (1992).
[CrossRef]

J. Appl. Phys.

C. L. Tang, J. Appl. Phys. 37, 2945 (1966).
[CrossRef]

Opt. Commun.

S. Le Floch and P. Cambon, Opt. Commun. 219, 395 (2003).
[CrossRef]

Opt. Lett.

Proc. SPIE

V. I. Kovalev, R. G. Harrison, J. K. Sahu, and J. Nilsson, in Proc. SPIE 5335, 46 (2004).
[CrossRef]

Sov. J. Quantum Electron.

A. N. Pilipetskii and V. V. Shkunov, Sov. J. Quantum Electron. 15, 284 (1985).
[CrossRef]

Other

A. Yariv, Optical Electronics in Modern Communications, 5th ed. (Oxford U. Press, 1997).

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Y. Jeong, J. Nilsson, J. K. Sahu, D. B. S. Soh, C. Alegria, P. Dupriez, C. A. Codemard, D. N. Payne, R. Horley, L. M. B. Hickey, L. Wanzcyk, C. E. Chryssou, J. Alvarez-Chavez, and P. W. Turner, presented at Conference on Lasers and Electro-optics, 2004, San Francisco (May 16-21, 2004), postdeadline paper CPDD1.

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Figures (3)

Fig. 1
Fig. 1

Dependencies of G on pump power P p ( L ) for h equal to (1) 0.5, (2) 0.75, (3) 1, and (4) 2 W ( m 2 K ) for the conditions in Ref. [3] (a) and Ref. [4] (b). Vertical lines show P p ( L ) used in Refs. [3, 4]. Horizontal lines here and in Figs. 2, 3 show G th .

Fig. 2
Fig. 2

Dependencies of G on frequency detuning f for different P p ( L ) (denoted near the curves in W) for experimental conditions in Ref. [3] (a) and Ref. [4] (b).

Fig. 3
Fig. 3

Dependencies of G on temperature coefficient χ, f = 0 , (a) and L, f = 300 MHz , (b) for P p ( L ) (denoted near the curves in W) for experimental conditions in Ref. [4].

Equations (8)

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

d P s d x = β ( x ) P St + P s P s P St ,
P s ( x ) P s ( 0 ) + γ α P p ( L ) I St S θ e α L ( e α x 1 ) ,
Δ T ( x ) = Q 0 ( x ) a 2 2 b h = α η P p ( x ) a 2 2 π b 3 h = χ P p ( x ) ,
d P B d x = g B ( x ) P B P s ( x ) S θ β ( x ) P St + P s ( x ) P B P St ,
g B ( x , F ) = g 4 Γ δ ( x ) δ 2 ( x ) 4 + [ F ( x ) F ] 2 ,
G = G B + G L = 0 L g B ( x ) P s ( x ) d x + P St 0 L β ( x ) P s ( x ) d x .
G L ln [ 1 + γ P p ( L ) I St S θ α P s ( 0 ) ( 1 e α L ) ] ,
G B = ( g Γ S θ ) 0 L ( P s ( x ) [ Γ + C δ Δ T ( x ) ] d x { [ Γ + C δ Δ T ( x ) ] 2 + 4 [ C f ( Δ T ( L ) Δ T ( x ) ) f ] 2 } ) ,

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