Abstract

We numerically study amplification of low-repetition-rate high-energy pulses in a cw-pumped erbium-doped fiber amplifier. Maximizing the pulse-energy gain by optimization of the dopant and modal field radii resulted in improvements of as much as 7.3 dB with a 60-mW pump compared with a fiber with small radii suitable for amplification of cw signals. Output pulse energies of 0.15 mJ are possible at the same pump power. The improvements stem from a suppression of the losses from amplified spontaneous emission when the radii are made large.

© 1993 Optical Society of America

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References

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  1. A. Galvanauskas, P. Blixt, J. A. Tellefsen, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 606.
  2. G. P. Agrawal, IEEE Photon. Technol. Lett. 2, 875 (1990).
    [CrossRef]
  3. B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
    [CrossRef]
  4. Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
    [CrossRef]
  5. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 10.
  6. F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
    [CrossRef]
  7. P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
    [CrossRef]

1993 (1)

Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
[CrossRef]

1992 (2)

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

1991 (1)

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

1990 (1)

G. P. Agrawal, IEEE Photon. Technol. Lett. 2, 875 (1990).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, IEEE Photon. Technol. Lett. 2, 875 (1990).
[CrossRef]

Bjarklev, A.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Blixt, P.

A. Galvanauskas, P. Blixt, J. A. Tellefsen, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 606.

Chrostowski, J.

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

Chuang, Y.-H.

Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
[CrossRef]

Dahl-Petersen, S.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

Dybdal, K.

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Galvanauskas, A.

A. Galvanauskas, P. Blixt, J. A. Tellefsen, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 606.

Koningstein, J. A.

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

Larsen, C. C.

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Lumholt, F. O.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

Meyerhofer, D. D.

Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
[CrossRef]

Myslinski, P.

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

Pedersen, B.

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Povlsen, J. H.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Rasmussen, T.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

Rottwitt, K.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

Schüsler, K.

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 10.

Simpson, J. R.

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

Tellefsen, J. A.

A. Galvanauskas, P. Blixt, J. A. Tellefsen, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 606.

Zheng, L.

Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
[CrossRef]

IEEE J. Quantum Electron. (2)

Y.-H. Chuang, L. Zheng, D. D. Meyerhofer, IEEE J. Quantum Electron. 29, 270 (1993).
[CrossRef]

P. Myslinski, J. Chrostowski, J. A. Koningstein, J. R. Simpson, IEEE J. Quantum Electron. 28, 371 (1992).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

F. O. Lumholt, K. Schüsler, A. Bjarklev, S. Dahl-Petersen, J. H. Povlsen, T. Rasmussen, K. Rottwitt, IEEE Photon. Technol. Lett. 4, 568, (1992).
[CrossRef]

G. P. Agrawal, IEEE Photon. Technol. Lett. 2, 875 (1990).
[CrossRef]

J. Lightwave Technol. (1)

B. Pedersen, A. Bjarklev, J. H. Povlsen, K. Dybdal, C. C. Larsen, J. Lightwave Technol. 9, 1105 (1991).
[CrossRef]

Other (2)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 10.

A. Galvanauskas, P. Blixt, J. A. Tellefsen, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 606.

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Figures (3)

Fig. 1
Fig. 1

Output pulse energy versus input pulse energy at 20 and 60 mW of pump power for EDFA's with Standard and optimized geometrical cross sections. At 60 mW, there are two optimized fibers: the one with the lower amplification had a modal field radius not exceeding 7 μm. The length was optimized separately for all five fibers.

Fig. 2
Fig. 2

Optimized dopant and 1/e2 mode intensity radii for Pp = 20 mW (solid curves) and Pp = 60 mW (dashed curves).

Fig. 3
Fig. 3

Stored energy above the bleaching level (extractable energy) and the energy actually extracted by the pulse for Pp = 60 mW. Solid curves, Standard EDFA; dashed curves, optimized EDFA.

Equations (6)

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N 2 ( r , z , t ) t = { σ a ( ν s ) N 0 ( r , z ) [ σ a ( ν s ) + σ e ( ν s ) ] × N 2 ( r , z , t ) } I s ( r , z , t ) / h ν s ,
N 2 ( r , z , t ) u = N 2 ( r , z , t ) t t u { σ a ( ν s ) N 0 ( r , z ) [ σ a ( ν s ) + σ e ( ν s ) ] N 2 ( r , z , t ) } / h ν s .
N 2 [ r , z , u ( r , z , t ) ] N 2 ( r , z , u = 0 ) = N 0 ( r , z ) [ N 2 ( r , z , u = 0 ) N 0 ( r , z ) σ a ( ν s ) σ a ( ν s ) + σ e ( ν s ) ] × { exp [ u ( r , z , t ) / U sat ] 1 } ,
w Er ( r , z , t ) = { N 2 [ r , z , u ( r , z , t ) ] N 2 ( r , z , u = 0 ) } h ν s .
E ( z ) E ( 0 ) = 0 z 0 R d W Er ( r , z ) 2 π r d r d z = h ν s 0 z 0 R d N 0 ( r , z ) [ N 2 ( r , z , u = 0 ) N 0 ( r , z ) σ a ( ν s ) σ a ( ν s ) + σ e ( ν s ) ] × { 1 exp [ Ψ s ( r ) E ( z ) / U sat ] } 2 π r d r d z ,
d E ( z ) d z = h ν s 0 R d N 0 ( r , z ) [ N 2 ( r , z , u = 0 ) N 0 ( r , z ) σ a ( ν s ) σ a ( ν s ) + σ e ( ν s ) ] × { 1 exp [ Ψ s ( r ) E ( z ) / U sat ] } 2 π r d r .

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