Abstract

It is shown that a novel class of optical soliton is possible in the form of vector dark solitons. These nonlinear waves describe bound states of two gray solitons with different background intensities in each mode that are strongly coupled through cross-phase modulation.

© 1993 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef] [PubMed]

1990

Yu. S. Kivshar, Phys. Rev. A 42, 1757 (1990); Opt. Lett. 16, 892 (1991).
[CrossRef] [PubMed]

C. Paré, M. Florjańczyk, Phys. Rev. A 41, 6287 (1990); Yu. S. Kivshar, Opt. Lett. 18, 7 (1993).
[CrossRef] [PubMed]

P. A. Bélanger, C. Paré, Phys. Rev. A 41, 5254 (1990).
[CrossRef] [PubMed]

M. Lisak, A. Höök, D. Anderson, J. Opt. Soc. Am. B 7, 750 (1990).
[CrossRef]

C. J. Chen, P. K. A. Wai, C. R. Menyuk, Opt. Lett. 15, 477 (1990); M. N. Islam, C. R. Menyuk, C. J. Chen, C. E. Soccolich, Opt. Lett. 16, 214 (1991).
[CrossRef] [PubMed]

1989

1988

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

D. N. Christodoulides, R. I. Joseph, Opt. Lett. 13, 53 (1988).
[CrossRef] [PubMed]

S. Trillo, S. Wabnitz, E. M. Wright, G. I. Stegeman, Opt. Lett. 13, 672 (1988).
[CrossRef] [PubMed]

S. Trillo, S. Wabnitz, E. M. Wright, G. I. Stegeman, Opt. Lett. 13, 871 (1988).
[CrossRef] [PubMed]

1987

1985

K. J. Blow, N. J. Doran, Phys. Lett. A 107, 55 (1985).
[CrossRef]

1983

1982

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

1981

1974

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

Afanasyev, V. V.

V. V. Afanasyev, E. M. Dianov, V. N. Serkin, IEEE J. Quantum Electron. 25, 2656 (1989).
[CrossRef]

V. V. Afanasyev, Yu. S. Kivshar, V. V. Konotop, V. N. Serkin, Opt. Lett. 14, 805 (1989).
[CrossRef] [PubMed]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Orlando, Fla., 1989).

Anderson, D.

Barthelemy, A.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Bélanger, P. A.

P. A. Bélanger, C. Paré, Phys. Rev. A 41, 5254 (1990).
[CrossRef] [PubMed]

Blow, K. J.

K. J. Blow, N. J. Doran, Phys. Lett. A 107, 55 (1985).
[CrossRef]

Chen, C. J.

Christodoulides, D. N.

Crosignani, B.

Di Porto, P.

Dianov, E. M.

V. V. Afanasyev, E. M. Dianov, V. N. Serkin, IEEE J. Quantum Electron. 25, 2656 (1989).
[CrossRef]

Doran, N. J.

K. J. Blow, N. J. Doran, Phys. Lett. A 107, 55 (1985).
[CrossRef]

Emplit, P.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Florjanczyk, M.

C. Paré, M. Florjańczyk, Phys. Rev. A 41, 6287 (1990); Yu. S. Kivshar, Opt. Lett. 18, 7 (1993).
[CrossRef] [PubMed]

Froehly, C.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Giuliani, G.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Gordon, J. P.

Grischkowsky, D.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Halas, N. J.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Hamaide, J. P.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Hasegawa, A.

A. Hasegawa, Optical Solitons in Fibers (Springer-Verlag, Berlin, 1989).
[CrossRef]

Hawkins, R. J.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Heritage, J. P.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Höök, A.

Islam, M. N.

Joseph, R. I.

Kirschner, E. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Kivshar, Yu. S.

Kodama, Y.

Konotop, V. V.

Krökel, D.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

Leaird, D. E.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Lisak, M.

Manakov, S. V.

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

Menyuk, C. R.

Mitschke, F. M.

Mollenauer, L. F.

Nozaki, K.

Paré, C.

C. Paré, M. Florjańczyk, Phys. Rev. A 41, 6287 (1990); Yu. S. Kivshar, Opt. Lett. 18, 7 (1993).
[CrossRef] [PubMed]

P. A. Bélanger, C. Paré, Phys. Rev. A 41, 5254 (1990).
[CrossRef] [PubMed]

Poole, C. D.

Reynand, F.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Schulman, E. I.

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

Serkin, V. N.

V. V. Afanasyev, Yu. S. Kivshar, V. V. Konotop, V. N. Serkin, Opt. Lett. 14, 805 (1989).
[CrossRef] [PubMed]

V. V. Afanasyev, E. M. Dianov, V. N. Serkin, IEEE J. Quantum Electron. 25, 2656 (1989).
[CrossRef]

Stegeman, G. I.

Thurston, R. N.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Tomlinson, W. J.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Trillo, S.

Wabnitz, S.

Wai, P. K. A.

Weiner, A. M.

W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Wright, E. M.

Zakharov, V. E.

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

IEEE J. Quantum Electron.

V. V. Afanasyev, E. M. Dianov, V. N. Serkin, IEEE J. Quantum Electron. 25, 2656 (1989).
[CrossRef]

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

J. Opt. Soc. Am. B

Opt. Commun.

P. Emplit, J. P. Hamaide, F. Reynand, C. Froehly, A. Barthelemy, Opt. Commun. 62, 374 (1987).
[CrossRef]

Opt. Lett.

Phys. Lett. A

K. J. Blow, N. J. Doran, Phys. Lett. A 107, 55 (1985).
[CrossRef]

Phys. Rev. A

Yu. S. Kivshar, Phys. Rev. A 42, 1757 (1990); Opt. Lett. 16, 892 (1991).
[CrossRef] [PubMed]

C. Paré, M. Florjańczyk, Phys. Rev. A 41, 6287 (1990); Yu. S. Kivshar, Opt. Lett. 18, 7 (1993).
[CrossRef] [PubMed]

P. A. Bélanger, C. Paré, Phys. Rev. A 41, 5254 (1990).
[CrossRef] [PubMed]

Phys. Rev. Lett.

D. Krökel, N. J. Halas, G. Giuliani, D. Grischkowsky, Phys. Rev. Lett. 60, 29 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Physica D

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

Sov. Phys. JETP

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

Other

A. Hasegawa, Optical Solitons in Fibers (Springer-Verlag, Berlin, 1989).
[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, Orlando, Fla., 1989).

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Figures (1)

Fig. 1
Fig. 1

Intensities of the two components, |U|2 and |V|2, of the vector dark soliton, with U0 and V0 being the asymptotic values of the intensities of the orthogonal polarization modes.

Equations (23)

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i Ψ 1 z + i 1 υ 1 Ψ 1 t α 2 2 Ψ 1 t 2 + R ( | Ψ 1 | 2 + σ | Ψ 2 | 2 ) Ψ 1 = 0 ,
i Ψ 2 z + i 1 υ 2 Ψ 2 t α 2 2 Ψ 2 t 2 + R ( | Ψ 2 | 2 + σ | Ψ 1 | 2 ) Ψ 2 = 0 ,
Ψ 1 , 2 2 R t 0 2 / α exp ( ± δ t α δ 2 z 2 α ) U , V ,
υ = 2 υ 1 υ 2 υ 1 + υ 2 , δ = υ 2 υ 1 2 υ 1 υ 2 ,
i U ξ 2 U τ 2 + ( | U | 2 + σ | V | 2 ) U = 0 ,
i V ξ 2 V τ 2 + ( | V | 2 + σ | U | 2 ) V = 0 ,
U = U 0 ( cos ϕ 1 tanh Z + i sin ϕ 1 ) exp ( i Θ 1 ) ,
V = V 0 ( cos ϕ 2 tanh Z + i sin ϕ 2 ) exp ( i Θ 2 ) ,
Θ 1 = k 1 τ + ( U 0 2 + σ V 0 2 + k 1 2 ) ξ ,
Θ 2 = k 2 τ + ( V 0 2 + σ U 0 2 + k 2 2 ) ξ ,
U 0 cos ϕ 1 = V 0 cos ϕ 2 , ν 2 = 1 + σ 2 U 0 2 cos 2 ϕ 1 ,
W 1 = U 0 1 + σ 2 sin ( ϕ 1 + ϕ 2 ) cos ϕ 2 + ( k 1 + k 2 ) , k 2 k 1 = U 0 1 + σ 2 sin ( ϕ 1 ϕ 2 ) cos ϕ 2 .
| U | 2 = U 0 2 ( 1 cos 2 ϕ 1 cosh 2 Z ) , | V | 2 = V 0 2 ( 1 cos 2 ϕ 2 cosh 2 Z ) .
| V ( Z ) | 2 V 0 2 [ 1 cos 2 ϕ 2 cosh 2 ( Z Δ ) ] .
d τ ( | U | 2 V 0 2 ) ( | U | 2 U 0 2 ) ,
U eff ( Δ ) = 4 2 U 0 3 σ cos 3 ϕ 1 1 + σ cosh Δ sinh 3 Δ ( Δ tanh Δ ) .
U = ( U 0 + a ) exp [ i ( U 0 2 + σ V 0 2 ) ξ + i ϕ ] ,
V = ( V 0 + b ) exp [ i ( V 0 2 + σ U 0 2 ) ξ + i ψ ] ,
( K 2 2 U 0 2 Ω 2 Ω 4 ) ( K 2 2 V 0 2 Ω 2 Ω 4 ) = 4 σ 2 U 0 2 V 0 2 Ω 4 ,
2 C a y + 12 U 0 ( 1 + σ ) a a T 3 a T 3 = 0 ,
i U ξ 2 U τ 2 + ( | U | 2 + σ | V | 2 ) U = κ V ,
i V ξ 2 V τ 2 + ( | V | 2 + σ | U | 2 ) V = κ U .
| U | 2 , | V | 2 = 1 2 U 0 2 [ 1 ± sin ( 2 β ) cos ( 2 κ ξ ) ] tanh 2 ( U 0 τ ) ,

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