Abstract

A cluster model is proposed for study of the effects of the number of ions per cluster on the performance of a heavily erbium-doped fiber laser. The results indicate that both the threshold pump power and the unstable-operation region of the fiber laser increase with increasing numbers of ions per cluster.

© 1998 Optical Society of America

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References

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  1. J. L. Zyskind, V. Mizrahi, D. J. Digiovanni, and J. W. Sulhoff, Electron. Lett. 28, 1385 (1992).
    [CrossRef]
  2. F. Sanchez, P. Le Boudec, P. L. Francois, and G. Stephen, Phys. Rev. A 48, 2220 (1993).
    [CrossRef] [PubMed]
  3. J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
    [CrossRef]
  4. P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
    [CrossRef]
  5. R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
    [CrossRef]
  6. M. Ding and P. K. Cheo, IEEE Photon. Technol. Lett. 8, 1627 (1996).
    [CrossRef]
  7. J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
    [CrossRef]

1996 (2)

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

M. Ding and P. K. Cheo, IEEE Photon. Technol. Lett. 8, 1627 (1996).
[CrossRef]

1994 (1)

R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
[CrossRef]

1993 (3)

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

J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
[CrossRef]

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

1992 (1)

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

Blixt, P.

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

Carlnäs, T.

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

Cheo, P. K.

M. Ding and P. K. Cheo, IEEE Photon. Technol. Lett. 8, 1627 (1996).
[CrossRef]

Digiovanni, D. J.

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

Digonnet, M. J. F.

J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
[CrossRef]

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

Ding, M.

M. Ding and P. K. Cheo, IEEE Photon. Technol. Lett. 8, 1627 (1996).
[CrossRef]

Francois, P. L.

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

Jaskorzynska, B.

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

Le Boudec, P.

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

Miniscalco, W. J.

R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
[CrossRef]

Mizrahi, V.

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

Nilsson, J.

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

Quimby, R. S.

R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
[CrossRef]

Sanchez, F.

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

Shaw, H. J.

J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
[CrossRef]

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

Stephen, G.

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

Sulhoff, J. W.

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

Thompson, B. A.

R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
[CrossRef]

Wagener, J. L.

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
[CrossRef]

Wysocki, P. F.

J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, and H. J. Shaw, Opt. Lett. 18, 2014 (1993).
[CrossRef]

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

Zyskind, J. L.

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

Electron. Lett. (1)

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

IEEE Photon. Technol. Lett. (2)

P. Blixt, J. Nilsson, T. Carlnäs, and B. Jaskorzynska, IEEE Photon. Technol. Lett. 3, 996 (1996).
[CrossRef]

M. Ding and P. K. Cheo, IEEE Photon. Technol. Lett. 8, 1627 (1996).
[CrossRef]

J. Appl. Phys. (1)

R. S. Quimby, W. J. Miniscalco, and B. A. Thompson, J. Appl. Phys. 76, 4472 (1994).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

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

Proc. SPIE (1)

J. L. Wagener, M. J. F. Digonnet, P. F. Wysocki, and H. J. Shaw, Proc. SPIE 2073, 14 (1993).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Dependence of fiber laser threshold on ion-cluster fraction x for several values of number of ions per cluster.

Fig. 2
Fig. 2

Evolution of the real part of the complex eigenvalue with pump power for several values of number of ions per cluster.

Fig. 3
Fig. 3

Calculated stability diagram for several values of number of ions per cluster.

Equations (11)

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dn2/dt=Rp1-n2-qrq2n2-1-n2/τ2,
dn2/dt=Rp1-n2-qαrq2n2-1-n2/τ2,
dn11/dt=-Rpn11+qαrq1-2n11-n22+1-n11-n22/τ2,
dn22/dt=Rp1-n11-n22+qαrq1-n11-2n22-n22/τ22,
dq/dt=qrqN01-mx2n2-1+αxm-2×2n2-1+αxn22-n11-q/τc,
Rp=PphνpAeffσp, rq=cnσa.
n20=fe, n20=ca, n110=bd-cad-bc, n220=c2ad-dc,
1-mx2n20-1+αxm-22n20-1+αxn220-n110=1rqN0τc,
a=Rp+2αq0rq+1/τ2, b=αq0rq+1/τ2, c=Rp+αq0rq,
d=Rp+2αq0rq+1/τ22, e=Rp+2q0rq+1/τ2, f=Rp+q0rq.
M=-Rp-2q0rq-1τ2000rq-2rqn200-Rp-2αq0rq-1τ200αrq-2αrqn2000-Rp-2αq0rq-1τ2-αq0rq-1τ2αrq1-2n110-n22000-Rp-αq0rq-Rp-2αq0rq-1τ22αrq1-n110-2n2202q0rq1-mxN02αq0rqxm-2N0-αq0rqxN0αq0rqxN00.

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