Abstract

Induced modulation instability in a lossless optical fiber is studied by means of numerical simulation. Compression ratios and optimum fiber lengths required to achieve a train of short pulses at the output of the fiber are presented in normalized form.

© 1988 Optical Society of America

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References

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1986

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

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

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

P. K. Shukla, J. Juul Rasmussen, Opt. Lett. 11, 171 (1986).
[CrossRef] [PubMed]

1984

1983

1980

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

1978

R. H. Stolen, C. Lin, Phys. Rev. 17, 1448 (1978).
[CrossRef]

1975

R. A. Fisher, W. K. Bischel, J. Appl. Phys. 46, 4921 (1975).
[CrossRef]

Anderson, D.

Balant, A. C.

Bischel, W. K.

R. A. Fisher, W. K. Bischel, J. Appl. Phys. 46, 4921 (1975).
[CrossRef]

Brinkman, W. F.

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

Fisher, R. A.

R. A. Fisher, W. K. Bischel, J. Appl. Phys. 46, 4921 (1975).
[CrossRef]

Gordon, J. P.

Grischkowsky, D.

Hasegawa, A.

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

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

A. Hasegawa, Opt. Lett. 9, 288 (1984).
[CrossRef] [PubMed]

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Juul Rasmussen, J.

Lin, C.

R. H. Stolen, C. Lin, Phys. Rev. 17, 1448 (1978).
[CrossRef]

Lisak, M.

Mollenauer, L. F.

Nikolaus, B.

Shank, C. V.

Shukla, P. K.

Stolen, R. H.

Tai, K.

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

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Tajima, K.

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

Tomita, A.

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

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Tomlinson, W. J.

Appl. Phys. Lett.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

IEEE J. Lightwave Technol.

K. Tajima, IEEE J. Lightwave Technol. LT-4, 900 (1986).
[CrossRef]

IEEE J. Quantum Electron.

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

J. Appl. Phys.

R. A. Fisher, W. K. Bischel, J. Appl. Phys. 46, 4921 (1975).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev.

R. H. Stolen, C. Lin, Phys. Rev. 17, 1448 (1978).
[CrossRef]

Phys. Rev. Lett.

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

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Figures (4)

Fig. 1
Fig. 1

Evolution of a sinusoidally amplitude-modulated signal in a nonlinear dispersive optical fiber. AM = 0.05 and a = 0.21. I is the normalized intensity |A(z, τ)|2/A02.

Fig. 2
Fig. 2

Maximum normalized peak intensity as a function of normalized fiber length for different initial modulation frequencies a.

Fig. 3
Fig. 3

Normalized fiber length for optimum compression (maximum peak intensity) as a function of a for different initial amplitude-modulation depths AM.

Fig. 4
Fig. 4

Natural logarithm of the normalized optimum compression ratio as a function of a for different AM.

Equations (12)

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i ( A / z ) - ( k 0 / 2 ) 2 A / τ 2 + ( ω 0 n 2 / c ) A 2 A = 0 ,
A 0 ( z ) = A 0 exp [ i ( ω 0 n 2 / c ) A 0 2 z ] ,
A ( z , τ ) = [ A 0 + A 1 ( z , τ ) ] exp [ i ( ω 0 n 2 / c ) A 0 2 z ] ,
Ω max = [ ( 4 ω 0 / c ) ( n 2 A 0 2 / k 0 ) ] 1 / 2 .
Γ ( a ) = 2 a ( 1 - a 2 ) 1 / 2 ( ω 0 n 2 / c ) A 0 2 .
Γ max = ( ω 0 n 2 / c ) A 0 2 ,
A ( 0 , τ ) = A 0 [ 1 + A M sin ( α Ω max τ ) ] ,
Z M = π 2 / ( Ω max 2 k 0 ) .
A 2 ( 0 , τ ) = A 0 2 [ 1 + sin ( α Ω max τ ) ] 2 .
T 0 = 1.46 π / ( 2 a Ω max ) ,
N 2 = 4 A 0 2 / A S 2 ,
N = 1.29 / a .

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