Abstract

Erbium doping introduces a resonant contribution to the group-velocity dispersion of the amplifier host fiber. A method for evaluating the erbium-induced group-velocity dispersion is proposed. This dispersion method requires the knowledge of the cold-cavity loss along with the gain and absorption spectrum of the active medium. An experimental measurement of group-velocity dispersion in a tunable actively mode-locked erbium-doped fiber laser confirms the validity of the method.

© 1993 Optical Society of America

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References

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  1. M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini, S. Wabnitz, Opt. Lett. 17, 923 (1992).
    [CrossRef] [PubMed]
  2. F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
    [CrossRef]
  3. S. C. Fleming, T. J. Withley, Electron. Lett. 27, 1959 (1991).
    [CrossRef]
  4. R. K. Hickernell, K. Takada, M. Yamada, M. Shimizu, M. Horiguchi, Opt. Lett. 18, 19 (1993).
    [CrossRef] [PubMed]
  5. M. L. Dennis, I. N. Duling, Electron. Lett. 29, 409 (1993).
    [CrossRef]
  6. The GVD may be also defined as D(λ) = +d(υg−1)/dλ = −(2πc/λ2)β2.
  7. W. Knox, Opt. Lett. 17, 514 (1992).
    [CrossRef] [PubMed]

1993 (2)

1992 (2)

1991 (2)

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

S. C. Fleming, T. J. Withley, Electron. Lett. 27, 1959 (1991).
[CrossRef]

Dennis, M. L.

M. L. Dennis, I. N. Duling, Electron. Lett. 29, 409 (1993).
[CrossRef]

Duling, I. N.

M. L. Dennis, I. N. Duling, Electron. Lett. 29, 409 (1993).
[CrossRef]

Fleming, S. C.

S. C. Fleming, T. J. Withley, Electron. Lett. 27, 1959 (1991).
[CrossRef]

Hickernell, R. K.

Horiguchi, M.

Knox, W.

Locati, F. S.

Matera, F.

M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini, S. Wabnitz, Opt. Lett. 17, 923 (1992).
[CrossRef] [PubMed]

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

Peroni, M.

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

Romagnoli, M.

M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini, S. Wabnitz, Opt. Lett. 17, 923 (1992).
[CrossRef] [PubMed]

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

Settembre, M.

M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini, S. Wabnitz, Opt. Lett. 17, 923 (1992).
[CrossRef] [PubMed]

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

Shimizu, M.

Takada, K.

Tamburrini, M.

M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini, S. Wabnitz, Opt. Lett. 17, 923 (1992).
[CrossRef] [PubMed]

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

Wabnitz, S.

Withley, T. J.

S. C. Fleming, T. J. Withley, Electron. Lett. 27, 1959 (1991).
[CrossRef]

Yamada, M.

Electron. Lett. (3)

F. Matera, M. Romagnoli, M. Settembre, M. Tamburrini, M. Peroni, Electron. Lett. 27, 1867, 2197 (erratum) (1991).
[CrossRef]

S. C. Fleming, T. J. Withley, Electron. Lett. 27, 1959 (1991).
[CrossRef]

M. L. Dennis, I. N. Duling, Electron. Lett. 29, 409 (1993).
[CrossRef]

Opt. Lett. (3)

Other (1)

The GVD may be also defined as D(λ) = +d(υg−1)/dλ = −(2πc/λ2)β2.

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Figures (5)

Fig. 1
Fig. 1

Gain and absorption spectra of the EDFA.

Fig. 2
Fig. 2

Background (solid curve) and slope (dashed curve) of the incremental resonant GVD derived from Eqs. (6) and (7).

Fig. 3
Fig. 3

Experimental setup of the actively mode-locked EDFL: E-O, electro-optic; A-O, acousto-optic.

Fig. 4
Fig. 4

Measurement of the resonant GVD of the actively mode-locked EDFL (filled circles) and theoretical fit (solid curve) obtained from Eq. (5). The values of D(λ) > 0 correspond to the normal dispersion region.

Fig. 5
Fig. 5

Measurement of the cold-cavity loss of the EDFL shown in Fig. 3.

Equations (8)

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G ( λ ) = exp ( { [ g ( λ ) + α ( λ ) ] n 2 α ( λ ) } L ) = Γ ( λ ) ,
n 2 ( λ ) = [ ln Γ ( λ ) ] / L + α ( λ ) g ( λ ) + α ( λ ) = 0 . 23 Γ dB ( λ ) / L + α ( λ ) g ( λ ) + α ( λ ) .
D E , A ( λ ) = ( 2 n H c ) 1 λ E , A p d 2 d λ 2 χ E , A ( λ ) ,
D R ( λ ) = n 2 ( λ ) [ D E ( λ ) + D A ( λ ) ] D A ( λ ) .
D R ( λ ) = d D R ( λ ) d Γ dB ( λ ) Γ dB ( λ ) + D 0 R ( λ ) ,
d D R ( λ ) d Γ dB ( λ ) = 0 . 23 [ D E ( λ ) + D A ( λ ) ] g ( λ ) + α ( λ ) 1 L ,
D 0 R ( λ ) = α ( λ ) D E ( λ ) g ( λ ) D A ( λ ) g ( λ ) + α ( λ ) .
D ( λ ) = Δ ( T RT ) Δ λ L C .

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