Abstract

We study the transmission properties of a nonlinear amplifying loop mirror that acts as an adiabatic amplifier of solitons. The adiabatic nature of the operation is quantified by evaluation of the energy and the Hamiltonian of dispersive-wave components contained in the output pulse. Near-adiabatic amplification is possible, and a chirp-free solition can be generated with an amplification ratio (compression ratio) of ~2 by a proper design of the device.

© 1994 Optical Society of America

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References

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  1. N. J. Doran, D. Wood, Opt. Lett. 13, 56 (1988).
    [CrossRef] [PubMed]
  2. K. J. Blow, N. J. Doran, B. K. Nayar, Opt. Lett. 14, 754 (1989).
    [CrossRef] [PubMed]
  3. K. J. Blow, N. J. Doran, B. P. Nelson, Electron. Lett. 26, 962 (1990).
    [CrossRef]
  4. K Smith, J. N. Doran, P. G. J. Wigley, Opt. Lett. 15, 1294 (1990).
    [CrossRef] [PubMed]
  5. S. V. Chernikov, J. R. Taylor, Electron. Lett. 29, 658 (1993).
    [CrossRef]
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    [CrossRef] [PubMed]
  8. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  9. A. C. Newell, in Solitons, R. K. Bullough, P. J. Caudrey, eds. (Springer-Verlag, Berlin, 1980), Chap. 6.
  10. E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).
  11. G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
    [CrossRef]
  12. N. Finlayson, B. K. Nayar, N. J. Doran, Opt. Lett. 17, 112 (1992).
    [CrossRef] [PubMed]
  13. B. E. Olsson, P. A. Andrekson, to be presented at the European Conference on Optical Communication, Firenze, Italy, August 26–30, 1994.

1994 (1)

1993 (3)

S. V. Chernikov, J. R. Taylor, Electron. Lett. 29, 658 (1993).
[CrossRef]

E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).

G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
[CrossRef]

1992 (1)

1990 (3)

1989 (1)

1988 (1)

1972 (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Andrekson, P. A.

B. E. Olsson, P. A. Andrekson, to be presented at the European Conference on Optical Communication, Firenze, Italy, August 26–30, 1994.

Blow, K. J.

K. J. Blow, N. J. Doran, B. P. Nelson, Electron. Lett. 26, 962 (1990).
[CrossRef]

K. J. Blow, N. J. Doran, B. K. Nayar, Opt. Lett. 14, 754 (1989).
[CrossRef] [PubMed]

Chernikov, S. V.

S. V. Chernikov, J. R. Taylor, Electron. Lett. 29, 658 (1993).
[CrossRef]

Doran, J. N.

Doran, N. J.

Fermann, M. E.

Finlayson, N.

Haberl, F.

Hasegawa, A.

Hochreiter, H.

Hofer, M.

Ikeda, H.

Krasinski, J. S.

G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
[CrossRef]

Matsumoto, M.

Nakazawa, M.

E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).

Nayar, B. K.

Nelson, B. P.

K. J. Blow, N. J. Doran, B. P. Nelson, Electron. Lett. 26, 962 (1990).
[CrossRef]

Newell, A. C.

A. C. Newell, in Solitons, R. K. Bullough, P. J. Caudrey, eds. (Springer-Verlag, Berlin, 1980), Chap. 6.

Olsson, B. E.

B. E. Olsson, P. A. Andrekson, to be presented at the European Conference on Optical Communication, Firenze, Italy, August 26–30, 1994.

Pearson, G. W.

G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
[CrossRef]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Smith, K

Suzuki, K.

E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).

Taylor, J. R.

S. V. Chernikov, J. R. Taylor, Electron. Lett. 29, 658 (1993).
[CrossRef]

Wigley, P. G. J.

Wood, D.

Yamada, E.

E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Zanoni, R.

G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
[CrossRef]

Electron. Lett. (2)

K. J. Blow, N. J. Doran, B. P. Nelson, Electron. Lett. 26, 962 (1990).
[CrossRef]

S. V. Chernikov, J. R. Taylor, Electron. Lett. 29, 658 (1993).
[CrossRef]

Opt. Commun. (1)

G. W. Pearson, R. Zanoni, J. S. Krasinski, Opt. Commun. 103, 507 (1993).
[CrossRef]

Opt. Lett. (6)

Sov. Phys. JETP (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Trans. Inst. Electron. Inform. Commun. Eng. (1)

E. Yamada, K. Suzuki, M. Nakazawa, Trans. Inst. Electron. Inform. Commun. Eng. J76-C-I, 81 (1993).

Other (2)

B. E. Olsson, P. A. Andrekson, to be presented at the European Conference on Optical Communication, Firenze, Italy, August 26–30, 1994.

A. C. Newell, in Solitons, R. K. Bullough, P. J. Caudrey, eds. (Springer-Verlag, Berlin, 1980), Chap. 6.

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Figures (4)

Fig. 1
Fig. 1

Soliton amplitude, the percentage of energy, and the Hamiltonian of dispersive-wave components contained in an output pulse from a NALM.

Fig. 2
Fig. 2

Soliton amplitude, the percentage of energy, and the Hamiltonian of dispersive-wave components contained in an output pulse versus the loop length, with the propagation effect in the loop taken into consideration. The coefficient A is kept at 1.95.

Fig. 3
Fig. 3

Waveform and phase of an output pulse for three different loop lengths.

Fig. 4
Fig. 4

Relation between the output and input soliton amplitudes of a NALM with A = 1.95. The transmission coefficient as given by Eq. (2) is used.

Equations (10)

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t = G sin ( G - 1 4 L u in 2 ) exp ( i G + 1 4 L u in 2 ) ,
t = A u in 2 ,             A = G ( G - 1 ) L / 4.
E disp = - u out 2 d T - E sol ,
d Ψ 1 d T + i ξ Ψ 1 = u out Ψ 2 ,
d Ψ 2 d T - i ξ Ψ 2 = - u out * Ψ 1 ,
E disp = 1 π - ln [ 1 + R ( ξ ) 2 ] d ξ .
H disp = - 2 π - ξ 2 ln [ 1 + R ( ξ ) 2 ] d ξ = 1 2 - ( u out 4 - | u out T | 2 ) d T - H sol ,
E total = - u out 2 d T = 16 15 A 2 , H total = 1 2 - ( u out 4 - | u out T | 2 ) d T = 256 693 A 4 - 24 35 A 2 .
u 1 ( T ) = ( 1 / 2 ) G u in ( T ) exp [ i ( 1 / 2 ) G u in ( T ) 2 L ] , u 2 ( T ) = ( 1 / 2 ) G u in ( T ) exp [ i ( 1 / 2 ) u in ( T ) 2 L ] ,
arg [ u out ( T ) ] = ( 1 / 4 ) ( G + 1 ) u in ( T ) 2 L

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