Abstract

A new approach to improving the stability of erbium-doped fiber lasers is presented. By use of a model based on ion-pair effects, spiking behavior is shown to be effectively suppressed by resonant pumping when the pump wavelength is sufficiently close to the lasing wavelength.

© 1996 Optical Society of America

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References

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  1. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 25.
  2. P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
    [CrossRef]
  3. J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
    [CrossRef]
  4. G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
    [CrossRef]
  5. F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
    [CrossRef] [PubMed]
  6. F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
    [CrossRef]
  7. W. H. Loh, R. I. Laming, Electron. Lett. 31, 1440 (1995).
    [CrossRef]
  8. M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
    [CrossRef]
  9. E. Desurvire, Erbium-Doped Fiber Amplifiers (Wiley Interscience, New York, 1994), Chap. 5.

1995

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

W. H. Loh, R. I. Laming, Electron. Lett. 31, 1440 (1995).
[CrossRef]

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

1994

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

1993

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

1992

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

Ball, G. A.

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

Desurvire, E.

E. Desurvire, Erbium-Doped Fiber Amplifiers (Wiley Interscience, New York, 1994), Chap. 5.

DiGiovanni, D. J.

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

Francois, P. L.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

Holton, C. E.

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

Hubner, J.

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

Hull-Allen, G.

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

Kristensen, M.

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

Laming, R. I.

W. H. Loh, R. I. Laming, Electron. Lett. 31, 1440 (1995).
[CrossRef]

Le Boudec, P.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

Le Flohic, M.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

Loh, W. H.

W. H. Loh, R. I. Laming, Electron. Lett. 31, 1440 (1995).
[CrossRef]

Mizrahi, V.

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

Morey, W. W.

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

Sanchez, F.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

Sejka, M.

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 25.

Stephan, G.

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

Stephan, G. M.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

Sulhoff, J. W.

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

Varming, P.

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

Zyskind, J. L.

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

Electron. Lett.

J. L. Zyskind, V. Mizrahi, D. J. DiGiovanni, J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
[CrossRef]

W. H. Loh, R. I. Laming, Electron. Lett. 31, 1440 (1995).
[CrossRef]

M. Sejka, P. Varming, J. Hubner, M. Kristensen, Electron. Lett. 31, 1445 (1995).
[CrossRef]

IEEE J. Quantum Electron.

F. Sanchez, M. Le Flohic, G. M. Stephan, P. Le Boudec, P. L. Francois, IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

IEEE Photon. Technol. Lett.

G. A. Ball, C. E. Holton, G. Hull-Allen, W. W. Morey, IEEE Photon. Technol. Lett. 6, 192 (1994).
[CrossRef]

Opt. Quantum. Electron.

P. Le Boudec, M. Le Flohic, P. L. Francois, F. Sanchez, G. Stephan, Opt. Quantum. Electron. 25, 359 (1993).
[CrossRef]

Phys. Rev. A

F. Sanchez, P. Le Boudec, P. L. Francois, G. Stephan, Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

Other

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 25.

E. Desurvire, Erbium-Doped Fiber Amplifiers (Wiley Interscience, New York, 1994), Chap. 5.

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Figures (5)

Fig. 1
Fig. 1

Resonant pumping scheme with two Stark levels in the ground state.

Fig. 2
Fig. 2

Calculated lasing characteristics for different k values.

Fig. 3
Fig. 3

Evolution of eigenvalues with pump parameter for various values of k. Im(λ) and Re(λ) represent the relaxation oscillation frequencies and damping rates of the system.

Fig. 4
Fig. 4

Numerical solutions of the system for r = 5: (a) k = 0.1, (b) k = 0.2, (c) k = 0.3.

Fig. 5
Fig. 5

Numerical solutions of the system for r = 8. (a) k = 0.1, (b) k = 0.2, (c) k = 0.3.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

N 12 / N 11 = k = exp ( - Δ E k B T ) ,
d n d d t = - i p k + n d ( 2 + k ) 1 + k - i l 1 + n d ( 1 + 2 k ) 1 + k - a 2 ( 1 + n d ) ,
d i l d t = ( 1 - 2 x ) A i l 1 + ( 1 + 2 k ) n d 2 ( 1 + k ) - i l + x A y i l n - ,
d n + d t = a 12 ( 1 - n + ) - a 22 2 ( n + + n - ) + y ( i l + i p ) ( 2 - 3 n + ) ,
d n - d t = - a 12 ( 1 - n + ) - a 22 2 ( n + + n - ) - y ( i l + i p ) n - ,
M = [ 0 A ( 1 - 2 x ) i ¯ l 1 + 2 k 2 ( 1 + k ) 0 x A y i ¯ l - 1 + n ¯ d ( 1 + 2 k ) 1 + k - a 2 - ( 2 + k ) i p + ( 1 + 2 k ) i ¯ l 1 + k 0 0 y ( 2 - 2 n ¯ + ) 0 - a 12 - a 22 2 - 3 y ( i ¯ l + i p ) - a 22 2 - y n ¯ _ 0 a 12 - a 22 2 - a 22 2 - y ( i ¯ l + i p ) ] .

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