Abstract

We investigate stimulated Brillouin scattering (SBS) threshold in single mode and multimode fibers in an all fiber network. The pump is a single mode fiber pigtail attached to a diode. We find the theory and experiment agree for both single mode and multimode GRIN fibers. We modify the bulk SBS threshold equation for use with fibers by properly accounting for mode sizes and modal dispersion.

© 2005 Optical Society of America

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References

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  1. V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
    [Crossref]
  2. K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
    [Crossref]
  3. Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
    [Crossref]
  4. V. I. Kovalev and R. G. Harrison, “Waveguide-induced inhomogeneous spectral broadening of stimulated Brillouin scattering in optical fiber,” Opt. Lett. 27, 2022–2025 (2002).
    [Crossref]
  5. R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
    [Crossref]
  6. V. I. Kovalev and R. G. Harrison, “Diffraction limited output form a CW Nd”YAG master oscillator/power amplifier with fibre phase conjugate SBS mirror,” Opt. Commun. 166, 89–99 (1999).
    [Crossref]
  7. L. Chen and X. Bao,“Analytical and numerical solutions for steady state stimlulated Brillouin scattering in a singel-mode fiber,” Opt. Commun. 152, 65–70 (1998).
    [Crossref]
  8. Robert W. Boyd, Nonlinnear Optics (Academic Press, Inc, 1992), pp. 339.
  9. D. Marcuse “Loss analysis of single-mode fiber splices,” The Bell Sys. Tech. J. 56, No. 6, 703–718 (1977).
  10. D. Cotter, “Observation of stimulated Brillouin scattering in low loss silica fiber at 1.3µm,” Electron. Lett. 18, 495–496 (1982).
    [Crossref]
  11. W. Kaiser and M. Maier, Laser HandbookVol. 2,ed. by F. T. Arecchi and E. O. Schulz-Dubois (Northland-Holland Publishing Company, 1972),pp. 1118.

2002 (2)

Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
[Crossref]

V. I. Kovalev and R. G. Harrison, “Waveguide-induced inhomogeneous spectral broadening of stimulated Brillouin scattering in optical fiber,” Opt. Lett. 27, 2022–2025 (2002).
[Crossref]

2001 (1)

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

2000 (1)

V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
[Crossref]

1999 (2)

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

V. I. Kovalev and R. G. Harrison, “Diffraction limited output form a CW Nd”YAG master oscillator/power amplifier with fibre phase conjugate SBS mirror,” Opt. Commun. 166, 89–99 (1999).
[Crossref]

1998 (1)

L. Chen and X. Bao,“Analytical and numerical solutions for steady state stimlulated Brillouin scattering in a singel-mode fiber,” Opt. Commun. 152, 65–70 (1998).
[Crossref]

1982 (1)

D. Cotter, “Observation of stimulated Brillouin scattering in low loss silica fiber at 1.3µm,” Electron. Lett. 18, 495–496 (1982).
[Crossref]

1977 (1)

D. Marcuse “Loss analysis of single-mode fiber splices,” The Bell Sys. Tech. J. 56, No. 6, 703–718 (1977).

Bao, X.

L. Chen and X. Bao,“Analytical and numerical solutions for steady state stimlulated Brillouin scattering in a singel-mode fiber,” Opt. Commun. 152, 65–70 (1998).
[Crossref]

Boyd, Robert W.

Robert W. Boyd, Nonlinnear Optics (Academic Press, Inc, 1992), pp. 339.

Chen, L.

L. Chen and X. Bao,“Analytical and numerical solutions for steady state stimlulated Brillouin scattering in a singel-mode fiber,” Opt. Commun. 152, 65–70 (1998).
[Crossref]

Cotter, D.

D. Cotter, “Observation of stimulated Brillouin scattering in low loss silica fiber at 1.3µm,” Electron. Lett. 18, 495–496 (1982).
[Crossref]

Fujioka, T.

Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
[Crossref]

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

Harrison, R. G.

V. I. Kovalev and R. G. Harrison, “Waveguide-induced inhomogeneous spectral broadening of stimulated Brillouin scattering in optical fiber,” Opt. Lett. 27, 2022–2025 (2002).
[Crossref]

V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
[Crossref]

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

V. I. Kovalev and R. G. Harrison, “Diffraction limited output form a CW Nd”YAG master oscillator/power amplifier with fibre phase conjugate SBS mirror,” Opt. Commun. 166, 89–99 (1999).
[Crossref]

Kaiser, W.

W. Kaiser and M. Maier, Laser HandbookVol. 2,ed. by F. T. Arecchi and E. O. Schulz-Dubois (Northland-Holland Publishing Company, 1972),pp. 1118.

Kovalev, V. I.

V. I. Kovalev and R. G. Harrison, “Waveguide-induced inhomogeneous spectral broadening of stimulated Brillouin scattering in optical fiber,” Opt. Lett. 27, 2022–2025 (2002).
[Crossref]

V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
[Crossref]

V. I. Kovalev and R. G. Harrison, “Diffraction limited output form a CW Nd”YAG master oscillator/power amplifier with fibre phase conjugate SBS mirror,” Opt. Commun. 166, 89–99 (1999).
[Crossref]

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

Lu, W.

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

Maier, M.

W. Kaiser and M. Maier, Laser HandbookVol. 2,ed. by F. T. Arecchi and E. O. Schulz-Dubois (Northland-Holland Publishing Company, 1972),pp. 1118.

Marcuse, D.

D. Marcuse “Loss analysis of single-mode fiber splices,” The Bell Sys. Tech. J. 56, No. 6, 703–718 (1977).

Scott, A. M.

V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
[Crossref]

Tei, K.

Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
[Crossref]

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

Tsuruoka, Y.

Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
[Crossref]

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

Uchiyama, T.

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

Yu, Dejin

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

Electron. Lett. (1)

D. Cotter, “Observation of stimulated Brillouin scattering in low loss silica fiber at 1.3µm,” Electron. Lett. 18, 495–496 (1982).
[Crossref]

Jpn. J. Phys. (2)

K. Tei, Y. Tsuruoka, T. Uchiyama, and T. Fujioka, “Critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 40, 3191–3194 (2001).
[Crossref]

Y. Tsuruoka, K. Tei, and T. Fujioka, “Influence of mode dispersion on critical power of stimulated Brillouin scattering in multimode optical fibers,” Jpn. J. Phys. 41, 5166–5169 (2002).
[Crossref]

Opt. Commun. (4)

R. G. Harrison, V. I. Kovalev, W. Lu, and Dejin Yu, “SBS self-phase conjugation of CW Nd”YAG laser radiation in an optical fiber,” Opt. Commun. 163, 208–211 (1999).
[Crossref]

V. I. Kovalev and R. G. Harrison, “Diffraction limited output form a CW Nd”YAG master oscillator/power amplifier with fibre phase conjugate SBS mirror,” Opt. Commun. 166, 89–99 (1999).
[Crossref]

L. Chen and X. Bao,“Analytical and numerical solutions for steady state stimlulated Brillouin scattering in a singel-mode fiber,” Opt. Commun. 152, 65–70 (1998).
[Crossref]

V. I. Kovalev, R. G. Harrison, and A. M. Scott, “The build-up of stimulated Brillouin scattering excited by pulsed pump radiation in a long optical fibre,” Opt. Commun. 185, 185–189 (2000).
[Crossref]

Opt. Lett. (1)

The Bell Sys. Tech. J. (1)

D. Marcuse “Loss analysis of single-mode fiber splices,” The Bell Sys. Tech. J. 56, No. 6, 703–718 (1977).

Other (2)

W. Kaiser and M. Maier, Laser HandbookVol. 2,ed. by F. T. Arecchi and E. O. Schulz-Dubois (Northland-Holland Publishing Company, 1972),pp. 1118.

Robert W. Boyd, Nonlinnear Optics (Academic Press, Inc, 1992), pp. 339.

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Figures (2)

Fig. 1.
Fig. 1.

Schematic for measuring SBS performance.

Fig. 2.
Fig. 2.

Upper figure: single mode fiber reflectivity for a length of 1.0km; lower figure: multimode reflectivity and fidelity for a length of 4.4km. The horizontal axis is input pump power, in watts, and the g0IL product.

Tables (1)

Tables Icon

Table 1. Summary of calculated and measured radius and threshold for single mode and multimode fibers.

Equations (5)

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

g i ( f ) = g 0 Γ 0 2 F 0 F c × [ tan 1 ( F 0 f Γ 0 2 ) tan 1 ( F c f Γ 0 2 ) ] .
Γ Γ 0 2 + F 0 2 ( N A ) 4 4 n co 4 .
P th = 21 π ω 2 l eff g i ( f s )
ω a = . 65 + 1.619 V 3 2 + 2.879 V 6 ,
ω a = 2 V + 0.23 V 3 2 + 18.01 V 6 .

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