Abstract

We present a kinetic model for Q-switched, cladding-pumped, high-power Yb-doped fiber lasers that are based on the rate equation, in a difference equation form, of ion population and propagation equations for both pumping and signal light. The effects of fiber-laser parameters, such as doping, length, pump power, and repetition rate on pulse characteristics are analyzed. This model is used to analyze the performance of Q-switched multicore fiber lasers and to show the output pulses with enhanced characteristics.

© 2004 Optical Society of America

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  1. H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
    [CrossRef]
  2. I. Kelson, A. A. Hardy, “Strongly pumped fiber lasers,” IEEE J. Quantum Electron. 34, 1570–1577 (1998).
    [CrossRef]
  3. H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
    [CrossRef]
  4. M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.
  5. V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
    [CrossRef]
  6. J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
    [CrossRef]
  7. C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
    [CrossRef]
  8. S. Adachi, Y. Koyamada, “Analysis and design of Q-switched erbium-doped fiber lasers and their application to OTDR,” J. Lightwave Technol. 20, 1506–1511 (2002).
    [CrossRef]
  9. P. K. Cheo, A. Liu, G. G. King, “A high-brightness laser beam from a phase-locked multicore Yb-doped fiber laser array,” IEEE Photon. Technol. Lett. 13, 439–441 (2001).
    [CrossRef]
  10. E. J. Bochove, P. K. Cheo, G. G. King, “Self-organization in a multicore fiber laser array,” Opt. Lett. 28, 1200–1202 (2003).
    [CrossRef] [PubMed]
  11. J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
    [CrossRef]
  12. J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
    [CrossRef]
  13. M. J. F. Digonnet, ed., Rare Earth Doped Fiber Lasers and Amplifiers (Marcel Dekker, New York, 1993).

2003 (2)

E. J. Bochove, P. K. Cheo, G. G. King, “Self-organization in a multicore fiber laser array,” Opt. Lett. 28, 1200–1202 (2003).
[CrossRef] [PubMed]

J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
[CrossRef]

2002 (1)

2001 (2)

P. K. Cheo, A. Liu, G. G. King, “A high-brightness laser beam from a phase-locked multicore Yb-doped fiber laser array,” IEEE Photon. Technol. Lett. 13, 439–441 (2001).
[CrossRef]

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

2000 (1)

1999 (1)

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

1998 (1)

I. Kelson, A. A. Hardy, “Strongly pumped fiber lasers,” IEEE J. Quantum Electron. 34, 1570–1577 (1998).
[CrossRef]

1995 (1)

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

1993 (1)

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Adachi, S.

Alvarez-Chavez, J. A.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Barber, P. R.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Bicknese, S.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Bochove, E. J.

Cao, J. D.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Carman, R. J.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Cheo, P. K.

E. J. Bochove, P. K. Cheo, G. G. King, “Self-organization in a multicore fiber laser array,” Opt. Lett. 28, 1200–1202 (2003).
[CrossRef] [PubMed]

P. K. Cheo, A. Liu, G. G. King, “A high-brightness laser beam from a phase-locked multicore Yb-doped fiber laser array,” IEEE Photon. Technol. Lett. 13, 439–441 (2001).
[CrossRef]

Clarkson, W. A.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Collins, R.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Dawes, J. M.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Dohle, R.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Dominic, V.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Engstrom, B.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Gavrilovic, P.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Hanna, D. C.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Hardy, A. A.

I. Kelson, A. A. Hardy, “Strongly pumped fiber lasers,” IEEE J. Quantum Electron. 34, 1570–1577 (1998).
[CrossRef]

Kea, D.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Kelson, I.

I. Kelson, A. A. Hardy, “Strongly pumped fiber lasers,” IEEE J. Quantum Electron. 34, 1570–1577 (1998).
[CrossRef]

King, G. G.

E. J. Bochove, P. K. Cheo, G. G. King, “Self-organization in a multicore fiber laser array,” Opt. Lett. 28, 1200–1202 (2003).
[CrossRef] [PubMed]

P. K. Cheo, A. Liu, G. G. King, “A high-brightness laser beam from a phase-locked multicore Yb-doped fiber laser array,” IEEE Photon. Technol. Lett. 13, 439–441 (2001).
[CrossRef]

Koyamada, Y.

Laliberte, B.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Laliberte, B. M.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Liem, A.

J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
[CrossRef]

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

Limpert, J.

J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
[CrossRef]

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

Liu, A.

P. K. Cheo, A. Liu, G. G. King, “A high-brightness laser beam from a phase-locked multicore Yb-doped fiber laser array,” IEEE Photon. Technol. Lett. 13, 439–441 (2001).
[CrossRef]

MacCormack, S.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Mackechnie, C. J.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Minns, R.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Minns, R. A.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Muendel, M.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Nilsson, J.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Offerhaus, H. L.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Pask, H. M.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Po, H.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Renaud, C. C.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

Richardson, D. J.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Robinson, R.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Robinson, R. F.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Rockney, B.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Rockney, B. H.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Rowley, A.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Sanders, S.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Schreiber, T.

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

Tricca, R. R.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Tropper, A. C.

H. M. Pask, R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, J. M. Dawes, “Ytterbium-doped silica fiber lasers: versatile sources for the 1–1.2 μm region,” IEEE J. Sel. Top. Quantum Electron. 1, 2–13 (1995).
[CrossRef]

Tunnermann, A.

J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
[CrossRef]

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

Turner, P. W.

C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
[CrossRef]

J. A. Alvarez-Chavez, H. L. Offerhaus, J. Nilsson, P. W. Turner, W. A. Clarkson, D. J. Richardson, “High-energy, high-power ytterbium-doped Q-switched fiber laser,” Opt. Lett. 25, 37–39 (2000).
[CrossRef]

Waarts, R.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Wolak, E.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Yeh, P. S.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Zellmer, H.

J. Limpert, A. Liem, H. Zellmer, A. Tunnermann, “500 W continuous-wave fiber laser with excellent beam quality,” Electron. Lett. 39, 645–647 (2003).
[CrossRef]

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

Zhang, Y.

M. Muendel, B. Engstrom, D. Kea, B. Laliberte, R. Minns, R. Robinson, B. Rockney, Y. Zhang, R. Collins, P. Gavrilovic, A. Rowley, “35-Watt cw single mode ytterbium fiber laser at 1.1 μm,” in Conference on Lasers and Electro-optics, Vol. 2 of 1997 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), postdeadline paper CPD30-1.

Zhang, Y. H.

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
[CrossRef]

Zucker, E.

V. Dominic, S. MacCormack, R. Waarts, S. Sanders, S. Bicknese, R. Dohle, E. Wolak, P. S. Yeh, E. Zucker, “110W fiber laser,” Electron. Lett. 35, 1158–1160 (1999).
[CrossRef]

Electron. Lett. (3)

H. Po, J. D. Cao, B. M. Laliberte, R. A. Minns, R. F. Robinson, B. H. Rockney, R. R. Tricca, Y. H. Zhang, “High power neodymium-doped single transverse mode fibre laser,” Electron. Lett. 29, 1500–1501 (1993).
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C. C. Renaud, H. L. Offerhaus, J. A. Alvarez-Chavez, J. Nilsson, W. A. Clarkson, P. W. Turner, D. J. Richardson, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron. 37, 199–206 (2001).
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Other (3)

J. Limpert, A. Liem, T. Schreiber, H. Zellmer, A. Tunnermann, “Power and energy scaling of fiber laser systems based on ytterbium-doped large-mode-area fibers,” in Advances in Fiber Lasers, L. N. Durvasula, ed., Proc. SPIE, 4974, 135–147 (2003).
[CrossRef]

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Figures (11)

Fig. 1
Fig. 1

(a) Setup of the AOQS fiber laser. (b) Energy band diagram of Yb3+ with the populations, (N 1, N 2) cross sections, and lifetime (τ) as indicated.

Fig. 2
Fig. 2

Steady-state solution of a fiber laser with L = 5 m, R co = 8 μm, R cl = 200 μm, and N = 4 × 1019 cm-3 at three pump power levels at switch off: (a) population N 2/N, (b) pumping power distribution, and (c) signal power distribution due to ASE.

Fig. 3
Fig. 3

(a) Steady pulse shape of a fiber laser with L = 5 m, R co = 8 μm, R cl = 200 μm, N = 4 × 1019 cm-3, PRF = 2 kHz, and W 0 = 25 W. (b) Peak observed for P s - due to the increase of R 2 approximately 20 ns after the Q switch is on. This is used to explain the multipeak feature of the Q-switched pulses.

Fig. 4
Fig. 4

Settling down of the pulse shape starting from the switch-off steady state: (a) pulse energy versus pulse number and (b) pulse energy versus the time from the beginning of the Q-switched operation.

Fig. 5
Fig. 5

Pulse energy versus duty cycle for PRFs of 2 and 5 kHz.

Fig. 6
Fig. 6

Steady pulse (a) energy and (b) FWHM width versus fiber length for three pump power levels: 10, 20, and 30 W.

Fig. 7
Fig. 7

Steady pulse energy and pulse width of a single-core fiber laser as a function of Yb3+ doping for PRFs of 2 and 5 kHz.

Fig. 8
Fig. 8

Steady pulse (a) energy and (b) width of a single-core fiber laser as functions of core radius.

Fig. 9
Fig. 9

Steady pulse energy and average power of a single-core fiber laser as functions of the repetition rate.

Fig. 10
Fig. 10

Modeled and measured pulse shapes of a seven-core fiber laser at a repetition rate of 5 kHz.

Fig. 11
Fig. 11

Predicted pulse energy and average power of a 19-core fiber laser as functions of the repetition rate.

Tables (1)

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Table 1 Common Parameters Used in the Simulation

Equations (10)

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0=R12+W12 N1x-R21+W21+A21 N2x,
dPpxdx=ΓpσepN2x-σapN1x Ppx-αpPpx,
± dPs±xdx=ΓsσesN2x-σasN1x Ps±x+ΓsN2x σes2nmhc2Δλs/λs3-αsPs±x.
R12=σapPpxΓpAcohvp,R21=σepPpxΓpAcohvp,W12=σasPs+x+Ps-xΓsAcohvs,W21=σesPs+x+Ps-xΓsAcohvs,A21=1τ.
Pp0=W0, Ps+0=R1Ps-0, Ps-L=0,
N2x, t+Δt=N2x, t+R12+W12N1x, t-R21+W21+A21N2x, tΔt,
Ppx+Δx, t+Δt=Ppx, t+ΓpσepN2x, t-σapN1x, t Ppx, tΔx-αpPpx, tΔx,
Ps+x+Δx, t+Δt=Ps+x, t+ΓsσesN2x, t-σasN1x, t Ps+x, tΔx+ΓsN2x, tσes2nmhc2×Δλs/λs3Δx-αsPs+x, tΔx,
Ps-x-Δx, t+Δt=Ps-x, t+ΓsσesN2x, t-σasN1x, t Ps-x, tΔx+ΓsN2x, tσes2nmhc2×Δλs/λs3Δx-αsPs-x, tΔx.
Poutt=1-R1Ps-0, t.

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