Abstract

The 3-D beam propagation method (BPM) and a complementary mode solver for the passive fiber were applied for modeling fiber amplifiers with a hexagonal structure of evanescently coupled cores that have been recently experimentally realized. The modes and modal gains were calculated for 7- and 19-core systems. Diminishing the core index step from Δn = 2.57 · 10<sup>-3</sup> to Δn = 1.27 · 10<sup>-3</sup> leads to a reduction of the amount of the guided modes from 7 to 3 and from 19 to 10 for the 7- and 19-core structures, respectively. The in-phase mode that has the lowest small-signal gain for the larger index step turns to have the highest small-signal gain at the lower index step. The mechanism lying behind the observed convergence of the wave field in the laser to the in-phase-like mode was analyzed by a study of propagation of a linear combination of two multicore modes. It was found that evolution of the amplified wave field in gain saturation regime can change from dominance of one to another multicore mode at a small variation of the input wave field. The 3-D BPM modeling shows the shortage of modal approach for analyzing the multicore fiber amplifier and indicates the importance of interference between the competing modes, leading to the beatings in saturated gain.

© 2007 IEEE

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2007 (1)

A. P. Napartovich, N. N. Elkin, V. N. Troshchieva, D. V. Vysotsky, "Numerical modeling of the multi-core fiber amplifier," Proc. SPIE 6346, 634 623/1-634 623/8 (2007).

2006 (4)

D. V. Vysotskii, N. N. Elkin, A. P. Napartovich, "Selection of optical modes in multichannel fibre," Quantum Electron. 36, 73-75 (2006).

D. V. Vysotsky, N. N. Elkin, A. P. Napartovich, V. N. Troshchieva, "Calculations of a fiber amplifier with hexagonal waveguide structure," Quantum. Electron. 36, 957-962 (2006).

A. S. Kurkov, V. M. Paramonov, E. M. Dianov, V. A. Isaev, G. A. Ivanov, "Fiber laser based on 4 core Yb-doped fiber and multimode Bragg grating," Laser Phys. Lett. 3, 441-444 (2006).

L. Li, A. Schülzgen, S. Chen, V. L. Temyanko, J. V. Moloney, N. Peyghambarian, "Phase locking and in-phase supermode selection in monolithic multicore fiber lasers ," Opt. Lett. 31, 2577-2579 (2006).

2005 (4)

2004 (2)

2003 (3)

R. J. Beach, M. D. Feit, S. C. Mitchell, K. P. Cutter, S. A. Payne, R. W. Mead, J. S. Hayden, D. Krashkevich, D. A. Alunni, "Phase-locked antiguided multiple-core ribbon fibre," IEEE Photon. Technol. Lett. 15, 670-672 (2003).

D. V. Vysotskii, A. P. Napartovich, A. G. Trapeznikov, "Selection of optical modes in a ribbon fibre with a modulated gain," Quantum Electron. 33, 1089-1095 (2003).

E. J. Bochove, P. K. Cheo, G. G. King, "Self-organization in a multicore fiber laser array," Opt. Lett. 28, 1200-1202 (2003).

2002 (2)

R. J. Beach, M. D. Feit, R. H. Page, L. D. Brasure, R. Wilcox, S. A. Payne, "Scalable antiguided ribbon laser," J. Opt. Soc. Amer. B, Opt. Phys. 19, 1521-1534 (2002).

M. Wrage, P. Glas, D. Fischer, M. Leitner, N. N. Elkin, D. V. Vysotsky, A. P. Napartovich, V. N. Troshchieva, "Phase-locking of a multicore fiber laser by wave propagation through an annular waveguide ," Opt. Commun. 205, 367-375 (2002).

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).

D. V. Vysotskii, A. P. Napartovich, "Multicore fibre laser phase locking by an external mirror," Quantum Electron. 31, 298-302 (2001).

2000 (2)

N. N. Elkin, A. P. Napartovich, A. G. Sukharev, V. N. Troshchieva, D. V. Vysotsky, "Direct numerical simulation of radiation propagation in a multicore fiber," Opt. Commun. 177, 207-217 (2000).

M. Wrage, P. Glas, M. Leitner, T. Sandrock, N. N. Elkin, A. P. Napartovich, A. G. Sukharev, "Experimental and numerical determination of coupling constant in a multicore fiber," Opt. Commun. 175, 97-102 (2000).

1998 (1)

P. Glas, M. Naumann, A. Schirrmacher, T. Pertsch, "The multicore fiber—A novel design for a diode pumped fiber laser," Opt. Commun. 151, 187-195 (1998).

1986 (1)

R. Kosloff, D. Kosloff, "Absorbing boundaries for wave propagation problems," J. Comput. Phys. 63, 363-376 (1986).

1978 (1)

D. S. Kershaw, "The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations," J. Comput. Phys. 26, 43-65 (1978).

1976 (1)

J. A. Fleck, J. R. Morris, M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. A, Solids Surf. 10, 129-160 (1976).

Appl. Phys. A, Solids Surf. (1)

J. A. Fleck, J. R. Morris, M. D. Feit, "Time-dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. A, Solids Surf. 10, 129-160 (1976).

IEEE Photon. Technol. Lett. (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).

R. J. Beach, M. D. Feit, S. C. Mitchell, K. P. Cutter, S. A. Payne, R. W. Mead, J. S. Hayden, D. Krashkevich, D. A. Alunni, "Phase-locked antiguided multiple-core ribbon fibre," IEEE Photon. Technol. Lett. 15, 670-672 (2003).

J. Comput. Phys. (2)

R. Kosloff, D. Kosloff, "Absorbing boundaries for wave propagation problems," J. Comput. Phys. 63, 363-376 (1986).

D. S. Kershaw, "The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations," J. Comput. Phys. 26, 43-65 (1978).

J. Opt. Soc. Amer. B, Opt. Phys. (2)

R. J. Beach, M. D. Feit, R. H. Page, L. D. Brasure, R. Wilcox, S. A. Payne, "Scalable antiguided ribbon laser," J. Opt. Soc. Amer. B, Opt. Phys. 19, 1521-1534 (2002).

Y. Huo, P. K. Cheo, "Analysis of transverse mode competition and selection in multicore fiber lasers," J. Opt. Soc. Amer. B, Opt. Phys. 22, 2345-2349 (2005).

Laser Phys. Lett. (1)

A. S. Kurkov, V. M. Paramonov, E. M. Dianov, V. A. Isaev, G. A. Ivanov, "Fiber laser based on 4 core Yb-doped fiber and multimode Bragg grating," Laser Phys. Lett. 3, 441-444 (2006).

Opt. Commun. (4)

M. Wrage, P. Glas, D. Fischer, M. Leitner, N. N. Elkin, D. V. Vysotsky, A. P. Napartovich, V. N. Troshchieva, "Phase-locking of a multicore fiber laser by wave propagation through an annular waveguide ," Opt. Commun. 205, 367-375 (2002).

P. Glas, M. Naumann, A. Schirrmacher, T. Pertsch, "The multicore fiber—A novel design for a diode pumped fiber laser," Opt. Commun. 151, 187-195 (1998).

N. N. Elkin, A. P. Napartovich, A. G. Sukharev, V. N. Troshchieva, D. V. Vysotsky, "Direct numerical simulation of radiation propagation in a multicore fiber," Opt. Commun. 177, 207-217 (2000).

M. Wrage, P. Glas, M. Leitner, T. Sandrock, N. N. Elkin, A. P. Napartovich, A. G. Sukharev, "Experimental and numerical determination of coupling constant in a multicore fiber," Opt. Commun. 175, 97-102 (2000).

Opt. Express (1)

Opt. Lett. (6)

Proc. SPIE (1)

A. P. Napartovich, N. N. Elkin, V. N. Troshchieva, D. V. Vysotsky, "Numerical modeling of the multi-core fiber amplifier," Proc. SPIE 6346, 634 623/1-634 623/8 (2007).

Quantum Electron. (3)

D. V. Vysotskii, N. N. Elkin, A. P. Napartovich, "Selection of optical modes in multichannel fibre," Quantum Electron. 36, 73-75 (2006).

D. V. Vysotskii, A. P. Napartovich, "Multicore fibre laser phase locking by an external mirror," Quantum Electron. 31, 298-302 (2001).

D. V. Vysotskii, A. P. Napartovich, A. G. Trapeznikov, "Selection of optical modes in a ribbon fibre with a modulated gain," Quantum Electron. 33, 1089-1095 (2003).

Quantum. Electron. (1)

D. V. Vysotsky, N. N. Elkin, A. P. Napartovich, V. N. Troshchieva, "Calculations of a fiber amplifier with hexagonal waveguide structure," Quantum. Electron. 36, 957-962 (2006).

Other (2)

Y. Saad, Numerical Methods for Large Eigenvalue Problem (Manchester Univ. Press, 1992).

D. Botez, Diode Laser Arrays (Cambridge Univ. Press, 1994) pp. 1-71.

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