Abstract

Self-organized coherent fiber laser arrays of interferometer configuration are researched numerically with circulating field theory. The numerical results agree well with the experimental observations. The self-organization mechanism of the array is verified to be longitudinal mode selection in an interferometer resonator. Influences of the arm length difference and the number of fiber lasers on the performance of the coherent fiber laser array are discussed in detail. It is proved that the random length deviation is the key factor that induces the degradation of the combining efficiency.

© 2008 Optical Society of America

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  1. Y. Jeong, J. K. Sahu, D. N. Payne, and J. Nilsson, “Ytterbium-doped large-core fiber laser with 1.36 kW continuous-wave output power,” Opt. Express 12, 6088-6092 (2004).
    [CrossRef]
  2. T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567-577 (2005).
    [CrossRef]
  3. Y. Li and D. Fan, “Beam combining of fiber laser,” Laser Optoelectron. Prog. 42, 26-29 (2005) (in Chinese).
  4. P. K. Cheo, A. Liu, and 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]
  5. E. J. Bochove, P. K. Cheo, and G. G. King, “Self-organization in a multicore fiber laser array,” Opt. Lett. 28, 1200-1202 (2003).
    [CrossRef]
  6. D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, “Efficient coherent combining of widely tunable fiber lasers,” Opt. Express 11, 87-97 (2003).
    [CrossRef]
  7. A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, “Coherent addition of fiber lasers by use of a fiber coupler,” Opt. Express 10, 1167-1172 (2002).
  8. A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
    [CrossRef]
  9. A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
    [CrossRef]
  10. M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
    [CrossRef]
  11. H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
  12. H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
    [CrossRef]
  13. B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
    [CrossRef]
  14. L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
    [CrossRef]
  15. B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).
  16. A. E. Siegman, “Resonant modes of linearly coupled multiple fiber laser structures,” http://www.stanford.edu/~siegman/coupled_fiber_modes.pdf.
  17. C. Pedersen and T. Skettrup, “Laser modes and threshold conditions in N-mirror resonators,” J. Opt. Soc. Am. B 13, 926-937 (1996).
    [CrossRef]
  18. D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
    [CrossRef]

2006 (2)

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

2005 (4)

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567-577 (2005).
[CrossRef]

Y. Li and D. Fan, “Beam combining of fiber laser,” Laser Optoelectron. Prog. 42, 26-29 (2005) (in Chinese).

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
[CrossRef]

2004 (4)

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Y. Jeong, J. K. Sahu, D. N. Payne, and J. Nilsson, “Ytterbium-doped large-core fiber laser with 1.36 kW continuous-wave output power,” Opt. Express 12, 6088-6092 (2004).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
[CrossRef]

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

2003 (2)

2002 (2)

A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, “Coherent addition of fiber lasers by use of a fiber coupler,” Opt. Express 10, 1167-1172 (2002).

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

2001 (1)

P. K. Cheo, A. Liu, and 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]

1996 (1)

Barthelemy, A.

Barthélémy, A.

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

Bochove, E. J.

Bruesselbach, H.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

Chen, Y. C.

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

Cheo, P. K.

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

P. K. Cheo, A. Liu, and 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]

Desfarges-Berthelemot, A.

D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, “Efficient coherent combining of widely tunable fiber lasers,” Opt. Express 11, 87-97 (2003).
[CrossRef]

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

Dong, J.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

Dunnings, G. J.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Even, P.

Fan, D.

Y. Li and D. Fan, “Beam combining of fiber laser,” Laser Optoelectron. Prog. 42, 26-29 (2005) (in Chinese).

Fan, T. Y.

T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567-577 (2005).
[CrossRef]

Hammon, D. L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

He, B.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

Jeong, Y.

Jones, D. C.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

Kermene, V.

Kermène, V.

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

King, G. G.

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

P. K. Cheo, A. Liu, and 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]

Kong, F.

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

Lefort, L.

Li, L.

Li, Y.

Y. Li and D. Fan, “Beam combining of fiber laser,” Laser Optoelectron. Prog. 42, 26-29 (2005) (in Chinese).

Liu, A.

P. K. Cheo, A. Liu, and 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]

Liu, L.

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

Lou, Q.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

Mangir, M. S.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

Matsuo, K.

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
[CrossRef]

Minden, M.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

Minden, M. L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Nilsson, J.

Payne, D. N.

Pedersen, C.

Pureur, D.

Qi, Y.

Rogers, J. L.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30, 1339-1341 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

Sabourdy, D.

D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, “Efficient coherent combining of widely tunable fiber lasers,” Opt. Express 11, 87-97 (2003).
[CrossRef]

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

Sahu, J. K.

Saitou, T.

Sekiguchi, T.

Shirakawa, A.

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
[CrossRef]

A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, “Coherent addition of fiber lasers by use of a fiber coupler,” Opt. Express 10, 1167-1172 (2002).

Siegman, A. E.

A. E. Siegman, “Resonant modes of linearly coupled multiple fiber laser structures,” http://www.stanford.edu/~siegman/coupled_fiber_modes.pdf.

Skettrup, T.

Solis, A. J.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Su, Z.

Ueda, K.

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
[CrossRef]

A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, “Coherent addition of fiber lasers by use of a fiber coupler,” Opt. Express 10, 1167-1172 (2002).

Vampouille, M.

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

Vaughan, L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Wang, Z.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

Wei, Y.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

Xue, D.

Zhang, F.

Zhou, J.

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, D. Xue, Y. Qi, Z. Su, L. Li, and F. Zhang, “High power coherent beam combination from two fiber lasers,” Opt. Express 14, 2721-2726 (2006).
[CrossRef]

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

Zhou, Y.

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

Acta Opt. Sin. (1)

B. He, Q. Lou, J. Zhou, J. Dong, Y. Wei, and Z. Wang, “Coherent output power of 60 W from two large-core double-cladding fiber lasers,” Acta Opt. Sin. 26, 1279-1280 (2006) (in Chinese).

Appl. Phys. B (1)

D. Sabourdy, V. Kermène, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthélémy, “Coherent combining of two Nd:YAG lasers in a Vernier--Michelson-type cavity,” Appl. Phys. B 75, 503-507 (2002).
[CrossRef]

Appl. Phys. Lett. (1)

L. Liu, Y. Zhou, F. Kong, and Y. C. Chen, “Phase locking in a fiber laser array with varying path lengths,” Appl. Phys. Lett. 85, 4837-4839 (2004).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

T. Y. Fan, “Laser beam combining for high-power, high-radiance sources,” IEEE J. Sel. Top. Quantum Electron. 11, 567-577 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

P. K. Cheo, A. Liu, and 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]

J. Opt. Soc. Am. B (1)

Laser Optoelectron. Prog. (1)

Y. Li and D. Fan, “Beam combining of fiber laser,” Laser Optoelectron. Prog. 42, 26-29 (2005) (in Chinese).

Opt. Express (4)

Opt. Lett. (2)

Proc. SPIE (3)

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber-laser coherent array for power scaling of single-mode fiber laser,” Proc. SPIE 5662, 482-487 (2004).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” Proc. SPIE 5709, 165-174 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, “Self-organized coherence in fiber laser arrays,” Proc. SPIE 5335, 89-97 (2004).
[CrossRef]

Other (2)

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.

A. E. Siegman, “Resonant modes of linearly coupled multiple fiber laser structures,” http://www.stanford.edu/~siegman/coupled_fiber_modes.pdf.

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Figures (4)

Fig. 1
Fig. 1

Schemes of (a) the configuration and (b) the interferometer model of the N-arm fiber laser array [6] (PC, polarization controller).

Fig. 2
Fig. 2

Variation of the combining efficiency η ¯ c via δ l max and N.

Fig. 3
Fig. 3

Variation of the output’s fluctuation via δ l max and N.

Fig. 4
Fig. 4

Variation of (a) the combining efficiency η ¯ c and (b) the fluctuation via δ l max and Δ L ( 0.01 m , 0.1 m , 1 m ) in the case of N = 8 .

Tables (2)

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Table 1 Parameters Used in References

Tables Icon

Table 2 Comparison between Numerical Results and Experimental Results

Equations (15)

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R eff = r eff 2 = E 0 r E 0 i 2 = r 0 + r k N e j ( 2 π λ ) ( 2 L 0 ) 1 + r 0 r k N e j ( 2 π λ ) ( 2 L 0 ) 2 ,
r k N = E c r E c i = 1 N k = 1 N r k e j ( 2 π λ ) ( 2 l k ) .
r eff = E 0 r E 0 i = r 0 + 1 N k = 1 N r k e j ( 2 π λ ) [ 2 ( l k + L 0 ) ] 1 + r 0 1 N k = 1 N r k e j ( 2 π λ ) [ 2 ( l k + L 0 ) ] = r 0 + r k N 1 + r 0 r k N ,
r k N = 1 N k = 1 N r k e j ( 2 π λ ) [ 2 ( l k + L 0 ) ] = 1 N k = 1 N r k e j ( 2 π λ ) ( 2 L k ) ,
η c = P 0 P ideal = E 0 max r E 0 ideal r 2 = E 0 max r E 0 i 2 = R max .
η ¯ c = R ave = j = 1 200 R max ( j ) 200 ,
2 ( Δ L + δ l 2 δ l 1 ) = n λ , ( n is an integer ) .
[ 2 ( Δ L + δ l 2 δ l 1 ) λ 0 + Δ λ 2 , 2 ( Δ L + δ l 2 δ l 1 ) λ 0 Δ λ 2 ] .
[ 2 ( Δ L + δ l 2 δ l 1 ) λ 0 Δ λ 2 ] [ 2 ( Δ L + δ l 2 δ l 1 ) λ 0 + Δ λ 2 ] 1 ,
2 ( Δ L + δ l 2 δ l 1 ) λ 0 2 Δ λ .
Δ L λ 0 2 2 Δ λ
2 [ ( k i ) Δ L + δ l k δ l i ] = n k i λ ,
( n k i is an integer ; i , k = 2 , 3 , , N ; i < k ) ,
[ 2 [ ( k i ) Δ L + δ l k δ l i ] λ 0 + Δ λ 2 , 2 [ ( k i ) Δ L + δ l k δ l i ] λ 0 Δ λ 2 ]
( i , k = 2 , 3 , , N ; i < k )

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