Abstract

Conventional optical-fiber directional couplers composed of isotropic material can exhibit chaotic power splitting when the input polarization is inclined to the geometric axes of coupler.

© 1989 Optical Society of America

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References

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  1. S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
    [Crossref]
  2. Y. Silverberg, G. I. Stegeman, Appl. Phys. Lett. 50, 801 (1987).
    [Crossref]
  3. B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
    [Crossref]
  4. G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
    [Crossref]
  5. A. W. Snyder, W. R. Young, J. Opt. Soc. Am. 68, 297 (1978).
    [Crossref]
  6. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
  7. P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
    [Crossref]
  8. H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
    [Crossref]
  9. A. W. Snyder, J. Opt. Soc. Am. 62, 1267 (1972).
    [Crossref]
  10. R. Ulrich, A. Simon, Appl. Opt. 18, 2241 (1979).
    [Crossref] [PubMed]
  11. D. J. Mitchell, A. W. Snyder, Opt. Lett. 14, 1143 (1989).
    [Crossref] [PubMed]
  12. A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
    [Crossref]
  13. S. Trillo, S. Wabnitz, J. Opt. Soc. Am. B 5, 483 (1988).
    [Crossref]
  14. Y. Chen, A. W. Snyder, “Stochastic instability in nonlinear anisotropic fiber couplers,” submitted to IEEE J. Lightwave Technol.

1989 (1)

1988 (2)

S. Trillo, S. Wabnitz, J. Opt. Soc. Am. B 5, 483 (1988).
[Crossref]

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

1987 (1)

Y. Silverberg, G. I. Stegeman, Appl. Phys. Lett. 50, 801 (1987).
[Crossref]

1986 (1)

A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
[Crossref]

1985 (2)

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[Crossref]

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[Crossref]

1982 (1)

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[Crossref]

1979 (1)

1978 (1)

1972 (1)

1964 (1)

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[Crossref]

Ankiewicz, A.

A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
[Crossref]

Chen, Y.

Y. Chen, A. W. Snyder, “Stochastic instability in nonlinear anisotropic fiber couplers,” submitted to IEEE J. Lightwave Technol.

Daino, B.

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[Crossref]

Finlayson, N.

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

Gregori, G.

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[Crossref]

Jensen, S. M.

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[Crossref]

Love, J. D.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Maker, P. D.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[Crossref]

Mitchell, D. J.

Savage, C. M.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[Crossref]

Seaton, T.

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

Silverberg, Y.

Y. Silverberg, G. I. Stegeman, Appl. Phys. Lett. 50, 801 (1987).
[Crossref]

Simon, A.

Snyder, A. W.

D. J. Mitchell, A. W. Snyder, Opt. Lett. 14, 1143 (1989).
[Crossref] [PubMed]

A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
[Crossref]

A. W. Snyder, W. R. Young, J. Opt. Soc. Am. 68, 297 (1978).
[Crossref]

A. W. Snyder, J. Opt. Soc. Am. 62, 1267 (1972).
[Crossref]

Y. Chen, A. W. Snyder, “Stochastic instability in nonlinear anisotropic fiber couplers,” submitted to IEEE J. Lightwave Technol.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Stegeman, G. I.

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

Y. Silverberg, G. I. Stegeman, Appl. Phys. Lett. 50, 801 (1987).
[Crossref]

Terhune, R. W.

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[Crossref]

Trillo, S.

Ulrich, R.

Wabnitz, S.

S. Trillo, S. Wabnitz, J. Opt. Soc. Am. B 5, 483 (1988).
[Crossref]

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[Crossref]

Winful, H. G.

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[Crossref]

Wright, E. M.

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

Young, W. R.

Zanoni, R.

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

Zheng, X. H.

A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
[Crossref]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

Y. Silverberg, G. I. Stegeman, Appl. Phys. Lett. 50, 801 (1987).
[Crossref]

H. G. Winful, Appl. Phys. Lett. 47, 213 (1985).
[Crossref]

IEEE J. Lightwave Technol. (2)

G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, T. Seaton, IEEE J. Lightwave Technol. 6, 953 (1988).
[Crossref]

A. Ankiewicz, A. W. Snyder, X. H. Zheng, IEEE J. Lightwave Technol. LT-4, 1317 (1986).
[Crossref]

IEEE J. Quantum Electron. (1)

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[Crossref]

J. Appl. Phys. (1)

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[Crossref]

J. Opt. Soc. Am. (2)

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

Opt. Lett. (1)

Phys. Rev. Lett. (1)

P. D. Maker, R. W. Terhune, C. M. Savage, Phys. Rev. Lett. 12, 507 (1964).
[Crossref]

Other (2)

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Y. Chen, A. W. Snyder, “Stochastic instability in nonlinear anisotropic fiber couplers,” submitted to IEEE J. Lightwave Technol.

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Figures (3)

Fig. 1
Fig. 1

Initial excitation pattern of a nonlinear coupler in an illustration of power-induced anisotropy.

Fig. 2
Fig. 2

Output power of channel 1 versus normalized coupler length for a nonlinear coupler composed of isotropic fibers. The coupler parameters are the following: central separation D = d/ρ = 3 (d is the separation of the core centers and ρ is the core radius); relative refractive-index height Δ = 0.003; V = 2.4, where V = k ρ n Δ (n is the core refractive index and k is the wave number in free space); and P1(0) = 4.000005Pc, P2(0) = 4Pc (Pc = Pcx, where Pcx is the critical power for the x-polarized light), (a) Tilting θ = 1°, (b) tilting θ = 15°, (c) tilting θ = 23°.

Fig. 3
Fig. 3

Same as Fig. 2(b) but neglecting form birefringence.

Equations (3)

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

J = i ω 0 P NL = i ω 0 [ A ( E E * ) E + 1 2 B ( E E ) E * ] ,
E = [ a + x ( z ) ψ + ( x , y ) + a x ( z ) ψ ( x , y ) ] x ˆ + [ a + y ( z ) ψ + ( x , y ) + a y ( z ) ψ ( x , y ) ] y ˆ ,
d a ± j d z = i β ± j a ± j 1 4 A ψ ± J j d A .

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