Abstract

We studied an anomalous result in the measured stimulated Brillouin scattering threshold for single-mode optical fibers with different refractive index profiles and effective areas. It was found that, in addition to the optical effective area, the refractive-index-dependent interaction between the optical and the acoustic fields must be considered in order to account for the differences in the stimulated Brillouin scattering threshold between fiber types. A detailed analytical formalism describing the acousto-optic interaction was derived to accommodate the influence of the index profile design on Brillouin scattering.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. G. Smith, Appl. Opt. 11, 2489 (1972).
    [CrossRef] [PubMed]
  2. R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
    [CrossRef] [PubMed]
  3. M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
    [CrossRef]
  4. M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
    [CrossRef]
  5. H. Lee and G. P. Agrawal, Opt. Express 11, 3467 (2003).
    [CrossRef] [PubMed]
  6. A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
    [CrossRef]
  7. C. C. Lee and S. Chi, IEEE Photonics Technol. Lett. 12, 341 (2000).
    [CrossRef]
  8. D. Cotter, J. Opt. Commun. 4, 10 (1983).
    [CrossRef]
  9. M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
    [CrossRef]
  10. P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
    [CrossRef]

2003

2002

A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
[CrossRef]

2000

C. C. Lee and S. Chi, IEEE Photonics Technol. Lett. 12, 341 (2000).
[CrossRef]

1997

M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
[CrossRef]

M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
[CrossRef]

1990

R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
[CrossRef] [PubMed]

1983

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[CrossRef]

1979

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

1972

Agrawal, G. P.

Babin, V.

M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
[CrossRef]

Benito, D.

A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
[CrossRef]

Boyd, R. W.

R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
[CrossRef] [PubMed]

Chi, S.

C. C. Lee and S. Chi, IEEE Photonics Technol. Lett. 12, 341 (2000).
[CrossRef]

Chraplyvy, A. R.

M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
[CrossRef]

Cotter, D.

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[CrossRef]

Damzen, M. J.

M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
[CrossRef]

Garde, M. J.

A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
[CrossRef]

Horowitz, M.

M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
[CrossRef]

Lee, C. C.

C. C. Lee and S. Chi, IEEE Photonics Technol. Lett. 12, 341 (2000).
[CrossRef]

Lee, H.

Loayssa, A.

A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
[CrossRef]

Mocofanescu, A.

M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
[CrossRef]

Narum, P.

R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
[CrossRef] [PubMed]

Niklès, M.

M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
[CrossRef]

Robert, P. A.

M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
[CrossRef]

Rowell, N. L.

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

Rzazewski, K.

R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
[CrossRef] [PubMed]

Smith, R. G.

Stegeman, G. I.

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

Thénaz, L.

M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
[CrossRef]

Thomas, P. J.

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

van Driel, H. M.

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

Vlad, V. I.

M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
[CrossRef]

Zyskind, J. L.

M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
[CrossRef]

Appl. Opt.

IEEE Photon. Technol. Lett.

M. Horowitz, A. R. Chraplyvy, and J. L. Zyskind, IEEE Photon. Technol. Lett. 9, 124 (1997).
[CrossRef]

IEEE Photonics Technol. Lett.

C. C. Lee and S. Chi, IEEE Photonics Technol. Lett. 12, 341 (2000).
[CrossRef]

J. Lightwave Technol.

M. Niklès, L. Thénaz, and P. A. Robert, J. Lightwave Technol. 15, 1842 (1997).
[CrossRef]

J. Opt. Commun.

D. Cotter, J. Opt. Commun. 4, 10 (1983).
[CrossRef]

Opt. Express

Opt. Fiber Technol.

A. Loayssa, D. Benito, and M. J. Garde, Opt. Fiber Technol. 8, 24 (2002).
[CrossRef]

Phys. Rev. A

R. W. Boyd, K. Rzazewski, and P. Narum, Phys. Rev. A 42, 5514 (1990).
[CrossRef] [PubMed]

Phys. Rev. B

P. J. Thomas, N. L. Rowell, H. M. van Driel, and G. I. Stegeman, Phys. Rev. B 19, 4986 (1979).
[CrossRef]

Other

M. J. Damzen, V. I. Vlad, V. Babin, and A. Mocofanescu, Stimulated Brillouin Scattering: Fundamentals and Applications (Institute of Physics, 2003).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Schematic of index profiles for single-mode step index and nonzero dispersion shifted optical fibers.

Fig. 2
Fig. 2

Experimental results of the transmitted and reflected power measurements for SI and NZDSF optical fibers.

Fig. 3
Fig. 3

(a) Experimental configuration for the g B A eff measurement and the corresponding measured (solid curves) and calculated (dashed curves) g B A eff results for (b) SI and (c) NZDSF optical fibers.

Tables (1)

Tables Icon

Table 1 Measured and Calculated Fiber Attributes

Equations (11)

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

P th SBS = 21 α A eff ( 1 e α L ) g B = 21 A eff L eff g B ,
g B ( ν ) L eff A eff
= cosh 1 ( P out min ( ν ) 2 exp ( α L ) P S B ) + cosh 1 ( P out max ( ν ) 2 exp ( α L ) P S B ) P C A ,
2 E ̃ = n 2 c 2 2 E ̃ t 2 + μ o 2 P ̃ NL t 2 ,
2 ρ ̃ t 2 = ( V L 2 + Γ t ) 2 ρ ̃ γ e 2 2 E ̃ 2 ,
E ̃ = A p ( z ) E ̃ p ( r , θ ) exp [ i ( ω p t β p z ) ] + A s ( z ) E ̃ s ( r , θ ) exp [ i ( ω p t + β p z ) ] + c.c. ,
ρ ̃ = u A u ( z ) ρ u ( r , θ ) exp [ i ( Ω u t β u z ) ] + c.c. ,
d P p d z = α o P p u 1 2 { g u [ exp ( i Δ β u z α u z ) 1 ] + g u * [ exp ( i Δ β u z α u z ) 1 ] } P p P s ,
d P s d z = α o P s u 1 2 { g u [ exp ( i Δ β u z α u z ) 1 ] + g u * [ exp ( i Δ β u z α u z ) 1 ] } P p P s ,
g u = g B I ¯ u a o ( α u i Δ β ) A eff = κ g B ,
I ¯ u a o = E o E o * ρ u * r d r d θ 2 ( E o E o * ) 2 r d r d θ ρ ρ * r d r d θ .

Metrics