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)

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

S. Trillo, S. Wabnitz, J. Opt. Soc. Am. B 5, 483 (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)

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

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (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]

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.

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)

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

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

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).

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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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