Abstract

We study the temporal dynamics of the polarization state of counterpropagating waves in nonlinear-optical fibers, including the effects of birefringence. In the presence of uniform twist, the dynamics may be reduced to an integrable chiral field representation. The stability analysis reveals the temporally stable polarization configurations or ground states. Polarization switching between these states may occur through domain wall solitons.

© 1990 Optical Society of America

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References

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  1. A. E. Kaplan, Opt. Lett. 8, 560 (1983);A. E. Kaplan, C. T. Law, IEEE J. Quantum Electron. QE-21, 1529 (1985).
    [CrossRef] [PubMed]
  2. J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
    [CrossRef] [PubMed]
  3. G. Gregori, S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986);S. Wabnitz, G. Gregori, Opt. Commun. 59, 72 (1986).
    [CrossRef] [PubMed]
  4. M. V. Tratnik, J. E. Sipe, Phys. Rev. A 35, 2976 (1987).
    [CrossRef] [PubMed]
  5. S. Trillo, S. Wabnitz, Phys. Rev. A 36, 3881 (1987).
    [CrossRef] [PubMed]
  6. A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
    [CrossRef] [PubMed]
  7. V. E. Zakharov, A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 279 (1987) [JETP Lett. 45, 349 (1987)].
  8. R. Ulrich, A. Simon, Appl. Opt. 18, 2241 (1979).
    [CrossRef] [PubMed]
  9. F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
    [CrossRef] [PubMed]
  10. B. Crosignani, A. Yariv, J. Opt. Soc. Am. B 5, 507 (1988).
    [CrossRef]
  11. I. V. Cherednik, Teor. Mat. Fiz. 47, 537 (1981);A. B. Borisov, V. V. Kiselev, Teor. Mat. Fiz. 54, 246 (1983).
  12. C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
    [CrossRef]
  13. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
  14. V. E. Zakharov, E. I. Schulman, Physica 4D, 270 (1982).
  15. K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
    [CrossRef] [PubMed]

1989 (1)

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

1988 (1)

1987 (4)

M. V. Tratnik, J. E. Sipe, Phys. Rev. A 35, 2976 (1987).
[CrossRef] [PubMed]

S. Trillo, S. Wabnitz, Phys. Rev. A 36, 3881 (1987).
[CrossRef] [PubMed]

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

V. E. Zakharov, A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 279 (1987) [JETP Lett. 45, 349 (1987)].

1986 (3)

G. Gregori, S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986);S. Wabnitz, G. Gregori, Opt. Commun. 59, 72 (1986).
[CrossRef] [PubMed]

F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
[CrossRef] [PubMed]

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

1985 (1)

J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

1983 (1)

1982 (1)

V. E. Zakharov, E. I. Schulman, Physica 4D, 270 (1982).

1981 (1)

I. V. Cherednik, Teor. Mat. Fiz. 47, 537 (1981);A. B. Borisov, V. V. Kiselev, Teor. Mat. Fiz. 54, 246 (1983).

1979 (1)

1974 (1)

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

Ackerhalt, J. R.

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

Boyd, R. W.

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

Cherednik, I. V.

I. V. Cherednik, Teor. Mat. Fiz. 47, 537 (1981);A. B. Borisov, V. V. Kiselev, Teor. Mat. Fiz. 54, 246 (1983).

Crosignani, B.

Gaeta, A. L.

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

Gregori, G.

G. Gregori, S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986);S. Wabnitz, G. Gregori, Opt. Commun. 59, 72 (1986).
[CrossRef] [PubMed]

Hasegawa, A.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Kaplan, A. E.

Manakov, S. V.

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

Matera, F.

Menyuk, C. R.

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

Mikhailov, A. V.

V. E. Zakharov, A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 279 (1987) [JETP Lett. 45, 349 (1987)].

Milonni, P. W.

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

Otsuka, K.

J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

Schulman, E. I.

V. E. Zakharov, E. I. Schulman, Physica 4D, 270 (1982).

Simon, A.

Sipe, J. E.

M. V. Tratnik, J. E. Sipe, Phys. Rev. A 35, 2976 (1987).
[CrossRef] [PubMed]

Tai, K.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Tomita, A.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Tratnik, M. V.

M. V. Tratnik, J. E. Sipe, Phys. Rev. A 35, 2976 (1987).
[CrossRef] [PubMed]

Trillo, S.

S. Trillo, S. Wabnitz, Phys. Rev. A 36, 3881 (1987).
[CrossRef] [PubMed]

Ulrich, R.

Wabnitz, S.

S. Trillo, S. Wabnitz, Phys. Rev. A 36, 3881 (1987).
[CrossRef] [PubMed]

G. Gregori, S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986);S. Wabnitz, G. Gregori, Opt. Commun. 59, 72 (1986).
[CrossRef] [PubMed]

F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
[CrossRef] [PubMed]

Yariv, A.

Yumoto, J.

J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov, A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 279 (1987) [JETP Lett. 45, 349 (1987)].

V. E. Zakharov, E. I. Schulman, Physica 4D, 270 (1982).

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

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

Opt. Lett. (2)

Phys. Rev. A (2)

M. V. Tratnik, J. E. Sipe, Phys. Rev. A 35, 2976 (1987).
[CrossRef] [PubMed]

S. Trillo, S. Wabnitz, Phys. Rev. A 36, 3881 (1987).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, P. W. Milonni, Phys. Rev. Lett. 58, 2432 (1987).
[CrossRef] [PubMed]

J. Yumoto, K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
[CrossRef] [PubMed]

G. Gregori, S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986);S. Wabnitz, G. Gregori, Opt. Commun. 59, 72 (1986).
[CrossRef] [PubMed]

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Physica (1)

V. E. Zakharov, E. I. Schulman, Physica 4D, 270 (1982).

Pis'ma Zh. Eksp. Teor. Fiz. (1)

V. E. Zakharov, A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 279 (1987) [JETP Lett. 45, 349 (1987)].

Sov. Phys. JETP (1)

S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).

Teor. Mat. Fiz. (1)

I. V. Cherednik, Teor. Mat. Fiz. 47, 537 (1981);A. B. Borisov, V. V. Kiselev, Teor. Mat. Fiz. 54, 246 (1983).

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Equations (11)

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E ± ( z , t ) = e x E x ± + e y E y ±
t E ± ± V z E ± = i δ H / δ E ± * ,
H L ± = c n 0 d z [ β x | E x ± | 2 + β y | E y ± | 2 + τ ( i E y ± E x ± * + c . c ) ] ,
H NL ± = ( R / 2 ) d z { ( 1 B ) | E ± | 4 + B ( | E x ± | 4 ) + | E y ± | 4 ) + B [ ( E x ± ) 2 ( E y ± * ) 2 + c . c . ] } ,
H int = R d z [ 2 | E + | 2 | E | 2 ( 1 + B ) ( | E x + | 2 | E y | 2 + | E y + | 2 | E x | 2 ) + 2 B ( E x + E y + * E x E y * + c . c . ) + ( 1 B ) ( E x + E y + * E x * E y + c . c . ) ] .
e 1 ± = ( e x + i t e y ) / ( 1 + t 2 ) 1 / 2 , e 2 ± = ( t e x i e y ) / ( 1 + t 2 ) 1 / 2 ,
E ± ( z , t ) = e 1 ± 1 ± exp ( ± i λ 1 z ) + e 2 ± 2 ± exp ( ± i λ 2 z ) ,
S 0 ± = | E ± | 2 , S ± = ( 1 ± * 2 ± + c . c . , i 1 ± * 2 ± * + c . c . , 1 ± | 2 | 2 ± | 2 ) .
( t ± V z ) S 0 ± = 0 , ( t + V z ) S + = S + × ( J + S + + J S ) , ( t V z ) S = S × ( J S + J S + ) ,
ω = 2 δ ± ( k 2 + δ 2 ) 1 / 2 , ω = 2 δ ± ( k 2 + δ 2 ) 1 / 2 ,
ω 2 = k 2 ± 4 δ k + 3 δ 2 ,

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