Abstract

In this paper a Raman Fiber Lasers (RFLs) with several embedded cavities are studied. A novel algorithm is proposed to solve the coupled equations describing the optical power evolution in a RFL. By using some invariant constants as the boundary condition at the output end, the problem of solving ordinary differential equations (ODEs) with guessing boundary value is translated into a two-boundary-condition ODE problem. The algorithm is based on Newton-Raphson method and proved rather fast and stable. Quantitative analysis is performed based on the algorithm.

© 2006 Optical Society of America

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  1. S. Namiki and Y. Emori "Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes," IEEE J. Sel. Top. Quantum Electron. 7, 3-16 (2001).
  2. J. AuYeung and A. Yariv, "Theory of CW Raman oscillation in optical fibers," J. Opt. Soc. Am. 69, 803-807 (1979).
  3. P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).
  4. M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
    [CrossRef]
  5. N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
    [CrossRef]
  6. M. Krause and H. Renner, "Theory and design of double-cavity Raman Fiber Lasers," J. Lightwave Technol. 23, 2474-2483 (2005).
    [CrossRef]
  7. B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).
  8. X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).
  9. X. Liu and B. Lee, "A fast and stable method for Raman amplifier propagation equations," Opt. Express. 11, 2163-2176 (2003).
  10. F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
    [CrossRef]
  11. G. P. Agrawal, Nonlinear Fiber Optics, (Academic Press, New York, 2001).
  12. Y. Inoue and S. Fujikawa, "Diode-pumped Nd:YAG laser producing 122W CW power at 1.319μm," IEEE J.Quantum Electron. 36, 751-756 (2000).
    [CrossRef]

2005 (1)

2004 (1)

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

2003 (2)

X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).

X. Liu and B. Lee, "A fast and stable method for Raman amplifier propagation equations," Opt. Express. 11, 2163-2176 (2003).

2002 (1)

B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).

2001 (2)

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

S. Namiki and Y. Emori "Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes," IEEE J. Sel. Top. Quantum Electron. 7, 3-16 (2001).

2000 (2)

M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
[CrossRef]

Y. Inoue and S. Fujikawa, "Diode-pumped Nd:YAG laser producing 122W CW power at 1.319μm," IEEE J.Quantum Electron. 36, 751-756 (2000).
[CrossRef]

1988 (1)

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

1979 (1)

Bayart, D.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Borne, S.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Castella, F.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Chartier, P.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Christiani, I.

M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
[CrossRef]

Degiorgio, V.

M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
[CrossRef]

Dianov, E. M.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Egorova, O. N.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Emori, Y.

S. Namiki and Y. Emori "Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes," IEEE J. Sel. Top. Quantum Electron. 7, 3-16 (2001).

Faou, E.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Fujikawa, S.

Y. Inoue and S. Fujikawa, "Diode-pumped Nd:YAG laser producing 122W CW power at 1.319μm," IEEE J.Quantum Electron. 36, 751-756 (2000).
[CrossRef]

Guo, Y. L

X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).

Inoue, Y.

Y. Inoue and S. Fujikawa, "Diode-pumped Nd:YAG laser producing 122W CW power at 1.319μm," IEEE J.Quantum Electron. 36, 751-756 (2000).
[CrossRef]

Kean, P. N.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Krause, M.

Kurkov, A. S.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Kurukitkoson, N.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Lee, B.

X. Liu and B. Lee, "A fast and stable method for Raman amplifier propagation equations," Opt. Express. 11, 2163-2176 (2003).

Lee, W. J.

B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).

Leplingard, F.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Liu, X.

X. Liu and B. Lee, "A fast and stable method for Raman amplifier propagation equations," Opt. Express. 11, 2163-2176 (2003).

X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).

Lorcy, L.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Martinelli, C.

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

Min, B.

B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).

Namiki, S.

S. Namiki and Y. Emori "Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes," IEEE J. Sel. Top. Quantum Electron. 7, 3-16 (2001).

Paramonov, V. M.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Park, N.

B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).

Reid, D. C. J.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Renner, H.

Rini, M.

M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
[CrossRef]

Rowe, C. J.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Sibbett, W.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Sinclair, B. D.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Smith, K.

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

Sugahara, H.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Tusitsyn, S. K.

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

Zhang, H. Y

X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).

Electron. Lett. (1)

N. Kurukitkoson, H. Sugahara, S. K. Tusitsyn, O. N. Egorova, A. S. Kurkov, V. M. Paramonov, and E. M. Dianov, "Optimization of two stage Raman converter based on phosphosilicate core fiber: Modeling and experiment," Electron. Lett. 37, 1281-1283 (2001).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Rini, I. Christiani, and V. Degiorgio, "Numerical modeling and optimization of cascaded Raman fiber lasers," IEEE J. Quantum Electron. 36, 1117-1122 (2000).
[CrossRef]

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

S. Namiki and Y. Emori "Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes," IEEE J. Sel. Top. Quantum Electron. 7, 3-16 (2001).

IEEE J.Quantum Electron. (1)

Y. Inoue and S. Fujikawa, "Diode-pumped Nd:YAG laser producing 122W CW power at 1.319μm," IEEE J.Quantum Electron. 36, 751-756 (2000).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, D. Bayart, F. Castella, P. Chartier, and E. Faou, "Modeling of multiwavelength Raman fiber lasers using a new and fast algorithm," IEEE Photon. Technol. Lett. 16, 2601-2603 (2004).
[CrossRef]

B. Min, W. J. Lee, and N. Park. "Efficient formulation of Raman amplifier propagation equations with average power analysis," IEEE Photon. Technol. Lett. 12, 392-394 (2002).

X. Liu, H. Y Zhang, and Y. L Guo. "A novel method for Raman amplifer propagation equations," IEEE Photon. Technol. Lett. 15, 392-394 (2003).

J. Lightwave Technol. (1)

J. Mod. Opt. (1)

P. N. Kean, B. D. Sinclair, K. Smith, W. Sibbett, C. J. Rowe, and D. C. J. Reid, "Experimental evaluation of a fibre Raman oscillator having fibre grating reflectors," J. Mod. Opt. 35, 397-406 (1988).

J. Opt. Soc. Am. (1)

Opt. Express. (1)

X. Liu and B. Lee, "A fast and stable method for Raman amplifier propagation equations," Opt. Express. 11, 2163-2176 (2003).

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, (Academic Press, New York, 2001).

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