Abstract

A fiber ring laser that can produce nearly transform-limited soliton pulses is simulated. This laser has an erbium-doped optical-fiber amplifier and allows wavelength tuning through the interplay of fiber chromatic dispersion and the round-trip delay time of the laser. We show that a saturable absorber and a frequency limiter are required for the ring laser to self-start, i.e., to mode lock from initial noise and to operate stably. We also show that nonlinear polarization rotation with polarization selectivity inside the ring can act as a saturable absorber.

© 1992 Optical Society of America

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References

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  1. E. Desurvire, C. R. Giles, J. R. Simpson, J. L. Zyskind, Opt. Lett. 14, 1266 (1989).
    [Crossref] [PubMed]
  2. This scheme and preliminary experimental results have been reported by L. Mollenauer in unpublished lectures that he gave as an IEEE/LEOS traveling lecturer.
  3. R. H. Stolen, J. Botineau, A. Ashkin, Opt. Lett. 7, 512 (1982).
    [Crossref] [PubMed]
  4. M. N. Islam, C. E. Soccolich, J. P. Gordon, U. C. Paek, Opt. Lett. 15, 21 (1990).
    [Crossref] [PubMed]
  5. M. Hofer, M. E. Fermann, F. Haberl, M. H. Ober, A. J. Schmidt, Opt. Lett. 16, 502 (1991).
    [Crossref] [PubMed]
  6. C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
    [Crossref]
  7. C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987).
    [Crossref]

1991 (1)

1990 (1)

1989 (2)

1987 (1)

C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987).
[Crossref]

1982 (1)

Ashkin, A.

Botineau, J.

Desurvire, E.

Fermann, M. E.

Giles, C. R.

Gordon, J. P.

Haberl, F.

Hofer, M.

Islam, M. N.

Menyuk, C. R.

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

C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987).
[Crossref]

Ober, M. H.

Paek, U. C.

Schmidt, A. J.

Simpson, J. R.

Soccolich, C. E.

Stolen, R. H.

Zyskind, J. L.

IEEE J. Quantum Electron. (2)

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

C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987).
[Crossref]

Opt. Lett. (4)

Other (1)

This scheme and preliminary experimental results have been reported by L. Mollenauer in unpublished lectures that he gave as an IEEE/LEOS traveling lecturer.

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the fiber ring laser.

Fig. 2
Fig. 2

Birefringent optical fiber of length L between a pair of polarizers. The polarization states are indicated schematically. The elliptically polarized output of the fiber is made linear. This simple setup is equivalent to a saturable absorber.

Fig. 3
Fig. 3

Amplitude transmission coefficient as a function of input intensity. The length of the fiber is 0.2 soliton period. The input polarization angle is θ = 22.5°, and the output polarization angles are ψ = 108.5°, 109.5°, 110.5°, 111.5°, and 112.5°, as indicated.

Fig. 4
Fig. 4

Simulated startup process. Each line represents 10 round trips.

Equations (6)

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u ˜ out ( ω ) = comb ( ω ) u ˜ in ( ω ) ,
u out ( t ) = ( G 0 1 + I / I sat ) 1 / 2 u in ( t ) ,
u ˜ out ( ω ) = 1 1 + ( ω / ω 0 ) 2 u ˜ in ( ω ) ,
u out ( t ) = [ + | u in ( t ) | 2 / I 0 1 + | u in ( t ) | 2 / I 0 ] 1 / 2 u in ( t ) ,
i u ξ + i δ u s + 1 2 2 u s 2 + ( | u | 2 + 2 3 | υ | 2 ) u = 0 , i υ ξ i δ υ s + 1 2 2 υ s 2 + ( 2 3 | u | 2 + | υ | 2 ) υ = 0 ,
| t | 2 = sin 2 ( θ ) sin 2 ( ψ ) + cos 2 ( θ ) cos 2 ( ψ ) + 1 2 sin ( 2 θ ) sin ( 2 ψ ) cos [ | A | 2 L 3 cos ( 2 θ ) ] ,

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