Abstract

The optical soliton can be reshaped to a narrower and higher pulse during the course of transmission through a monomode fiber by periodic injection of continuous waves. By using this scheme one can practically eliminate conventional repeaters in optical transmission systems.

© 1982 Optical Society of America

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References

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  1. The first theoretical prediction of optical solitons in glass fiber was made by A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers,” Appl. Phys. Lett. 23, 142 (1973), and the first experimental verification was obtained by C. F. Mollenauer, R. H. Stolen, J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095 (1980).
    [CrossRef]
  2. A. Hasegawa, Y. Kodama, “Signal transmissions by optical solitons in monomode fiber,” Proc. IEEE 69, 1145 (1981).
    [CrossRef]
  3. V. E. Zakharov, A. B. Shabat, “Exact theory of two-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Theor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].

1981 (1)

A. Hasegawa, Y. Kodama, “Signal transmissions by optical solitons in monomode fiber,” Proc. IEEE 69, 1145 (1981).
[CrossRef]

1973 (1)

The first theoretical prediction of optical solitons in glass fiber was made by A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers,” Appl. Phys. Lett. 23, 142 (1973), and the first experimental verification was obtained by C. F. Mollenauer, R. H. Stolen, J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

1971 (1)

V. E. Zakharov, A. B. Shabat, “Exact theory of two-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Theor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].

Hasegawa, A.

A. Hasegawa, Y. Kodama, “Signal transmissions by optical solitons in monomode fiber,” Proc. IEEE 69, 1145 (1981).
[CrossRef]

The first theoretical prediction of optical solitons in glass fiber was made by A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers,” Appl. Phys. Lett. 23, 142 (1973), and the first experimental verification was obtained by C. F. Mollenauer, R. H. Stolen, J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Kodama, Y.

A. Hasegawa, Y. Kodama, “Signal transmissions by optical solitons in monomode fiber,” Proc. IEEE 69, 1145 (1981).
[CrossRef]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, “Exact theory of two-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Theor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].

Tappert, F.

The first theoretical prediction of optical solitons in glass fiber was made by A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers,” Appl. Phys. Lett. 23, 142 (1973), and the first experimental verification was obtained by C. F. Mollenauer, R. H. Stolen, J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, “Exact theory of two-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Theor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].

Appl. Phys. Lett. (1)

The first theoretical prediction of optical solitons in glass fiber was made by A. Hasegawa, F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers,” Appl. Phys. Lett. 23, 142 (1973), and the first experimental verification was obtained by C. F. Mollenauer, R. H. Stolen, J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095 (1980).
[CrossRef]

Proc. IEEE (1)

A. Hasegawa, Y. Kodama, “Signal transmissions by optical solitons in monomode fiber,” Proc. IEEE 69, 1145 (1981).
[CrossRef]

Zh. Eksp. Theor. Fiz. (1)

V. E. Zakharov, A. B. Shabat, “Exact theory of two-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Theor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].

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Figures (3)

Fig. 1
Fig. 1

Linear pulses at 7.5 km (λ = 1.5 μm). Dashed line is the initial pulse shape. Deterioration of the pulse shape is clearly seen.

Fig. 2
Fig. 2

Solitons without amplification at 22.5 km (λ = 1.5 μm). Even if solitons can retain their shapes much better than the linear pulses, they tend to overlap because of the pulse spread caused by the fiber loss at this distance.

Fig. 3
Fig. 3

Solitons with amplifications at 28.5 km (λ = 1.5 μm). Injection of continuous waves at 9.4, 18.8, and 28.2 km leads to amplification and reshaping of the solitons to a remarkable degree.

Equations (13)

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i q t + 1 2 q x x + | q | 2 q = 0 ,
ψ 1 x + i ζ ψ 1 = q ψ 2 , ψ 2 x i ζ ψ 2 = q * ψ 1 .
q ( x , 0 ) = u ( x , 0 ) + f ( x , 0 ) ,
u ( x , 0 ) = η sech ( η x ) exp ( i ξ x + i σ 0 ) ,
f ( x , 0 ) = E 0 exp ( i k x + i θ ) .
Δ ζ = ( f ψ 20 2 + f * ψ 10 2 ) d x / ( 2 i ψ 10 ψ 20 d x ) ,
ψ 10 = 1 2 sech ( η x ) exp ( 1 2 η x + i 2 ξ x + i 2 σ 0 ) , ψ 20 = 1 2 sech ( η x ) exp ( 1 2 η x i 2 ξ x i 2 σ 0 ) .
Δ ξ = E 0 π k ξ η cos ( θ σ 0 ) sech ( k ξ 2 η π ) , Δ η = E 0 π cos ( θ σ 0 ) sech ( k ξ 2 η π ) .
σ ( T ) = 1 2 0 T η 2 d t + σ 0 ,
t = 10 9 X / λ ,
x = 10 4 . 5 ( λ k ) 1 / 2 ( T X υ g ) ,
q = 10 4 . 5 ( π n 2 ) 1 / 2 ϕ ,
k = λ 2 π c 2 ( λ 2 2 n λ 2 ) ,

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