Abstract

In this paper, a model is proposed to study the behavior of four-wave mixing assisted multiwavelength erbium doped fiber ring laser based on the theoretical model of the multiple FWM processes and Gile’s theory of erbium-doped fiber. It is demonstrated that the mode competition can be effectively suppressed through FWM. The effect of phase matching, the nonlinear coefficient, the power in the cavity and the length of the nonlinear medium on output spectrum uniformity are also investigated.

© 2008 Optical Society of America

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References

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  1. A. Bellemare, A. Bellemare, M. Karasek, M. Rochette, S. A. L. S. Lrochelle, and M. A. T. M. Tetu, "Room temperature multifrequency erbium-doped fiber lasers anchored on the ITU Tetu, frequency grid," J. Lightwave Technol. 18, 825-831 (2000).
    [CrossRef]
  2. S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
    [CrossRef]
  3. Z. X. Zhang, L. Zhan, and Y. X. Xia, "Tunable self-seeded multiwavelength Brillouin-erbium fiber laser with enhanced power efficiency," Opt. Express 15, 9731-9736 (2007).
    [CrossRef] [PubMed]
  4. Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
    [CrossRef]
  5. X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
    [CrossRef]
  6. X. H. Feng, H. Y. Tam, and P. K. A. Wai, "Stable and uniform multiwavelength erbium-doped fiber laser using nonlinear polarization rotation," Opt. Express 14, 8205-8210 (2006).
    [CrossRef] [PubMed]
  7. C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
    [CrossRef]
  8. Y. G. Liu, X. Y. Dong, P. Shum, S. Z. Yuan, G. Y. Kai, and X. Y. Dong, "Stable room-temperature multi-wavelength lasing realization in ordinary erbium-doped fiber loop lasers," Opt. Express 14, 9293-9298 (2006).
    [CrossRef] [PubMed]
  9. X. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, "Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber, " Opt. Express 13, 142-147 (2005).
    [CrossRef] [PubMed]
  10. Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).
  11. A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
    [CrossRef]
  12. L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
    [CrossRef]
  13. X. M. Liu, "Four-wave mixing self-stability based on photonic crystal fiber and its applications on erbium-doped fiber lasers," Opt. Commun. 260, 554-559 (2006).
    [CrossRef]
  14. X. M. Liu, X. Q. Zhou, and C. Lu, "Four-wave mixing assisted stability enhancement: theory, experiment and application," Opt. Lett. 30, 2257-2259 (2005).
    [CrossRef] [PubMed]
  15. D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
    [CrossRef]
  16. M. Karasek and A. Bellemare, "Numerical analysis of multifrequency erbium-doped fiber ring laser employing periodic filter and frequency shifter," IEE Proc. 147, 115-119 (2002).
  17. G.P. Agrawal, Nonlinear Fiber Optics, 3rd (Academic, 2000).

2008

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

2007

Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

Z. X. Zhang, L. Zhan, and Y. X. Xia, "Tunable self-seeded multiwavelength Brillouin-erbium fiber laser with enhanced power efficiency," Opt. Express 15, 9731-9736 (2007).
[CrossRef] [PubMed]

2006

X. H. Feng, H. Y. Tam, and P. K. A. Wai, "Stable and uniform multiwavelength erbium-doped fiber laser using nonlinear polarization rotation," Opt. Express 14, 8205-8210 (2006).
[CrossRef] [PubMed]

Y. G. Liu, X. Y. Dong, P. Shum, S. Z. Yuan, G. Y. Kai, and X. Y. Dong, "Stable room-temperature multi-wavelength lasing realization in ordinary erbium-doped fiber loop lasers," Opt. Express 14, 9293-9298 (2006).
[CrossRef] [PubMed]

L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
[CrossRef]

X. M. Liu, "Four-wave mixing self-stability based on photonic crystal fiber and its applications on erbium-doped fiber lasers," Opt. Commun. 260, 554-559 (2006).
[CrossRef]

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

2005

2004

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

2002

M. Karasek and A. Bellemare, "Numerical analysis of multifrequency erbium-doped fiber ring laser employing periodic filter and frequency shifter," IEE Proc. 147, 115-119 (2002).

2001

S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
[CrossRef]

2000

Bellemare, A.

Chaudhuri, P. R.

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Chen, D.

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

Chu, M. J.

S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
[CrossRef]

Demokan, M. S.

L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
[CrossRef]

A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Dong, X. Y.

Feng, X. H.

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

X. H. Feng, H. Y. Tam, and P. K. A. Wai, "Stable and uniform multiwavelength erbium-doped fiber laser using nonlinear polarization rotation," Opt. Express 14, 8205-8210 (2006).
[CrossRef] [PubMed]

Gao, S.

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

Gao, Y.

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

Guo, X.

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Han, Y. G.

Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).

Hong, N. J.

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Huang, Y.

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

Ji, J. H.

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

Kai, G. Y.

Karasek, M.

M. Karasek and A. Bellemare, "Numerical analysis of multifrequency erbium-doped fiber ring laser employing periodic filter and frequency shifter," IEE Proc. 147, 115-119 (2002).

A. Bellemare, A. Bellemare, M. Karasek, M. Rochette, S. A. L. S. Lrochelle, and M. A. T. M. Tetu, "Room temperature multifrequency erbium-doped fiber lasers anchored on the ITU Tetu, frequency grid," J. Lightwave Technol. 18, 825-831 (2000).
[CrossRef]

Kim, S. K.

S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
[CrossRef]

Lee, J. H.

Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).

S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
[CrossRef]

Lee, S. B.

Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).

Liu, H.

A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Liu, H. L.

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

Liu, X.

Liu, X. M.

X. M. Liu, "Four-wave mixing self-stability based on photonic crystal fiber and its applications on erbium-doped fiber lasers," Opt. Commun. 260, 554-559 (2006).
[CrossRef]

X. M. Liu, X. Q. Zhou, and C. Lu, "Four-wave mixing assisted stability enhancement: theory, experiment and application," Opt. Lett. 30, 2257-2259 (2005).
[CrossRef] [PubMed]

Liu, Y. G.

Lrochelle, S. A. L. S.

Lu, C.

Lu, F.

Luo, S. Y.

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

Ng, J.

Qin, S.

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

Rochette, M.

Shum, P.

Tam, H. Y.

L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
[CrossRef]

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

X. H. Feng, H. Y. Tam, and P. K. A. Wai, "Stable and uniform multiwavelength erbium-doped fiber laser using nonlinear polarization rotation," Opt. Express 14, 8205-8210 (2006).
[CrossRef] [PubMed]

A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Tetu, M. A. T. M.

Wai, P. K. A.

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

X. H. Feng, H. Y. Tam, and P. K. A. Wai, "Stable and uniform multiwavelength erbium-doped fiber laser using nonlinear polarization rotation," Opt. Express 14, 8205-8210 (2006).
[CrossRef] [PubMed]

Xia, Y.

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

Xia, Y. X.

Yang, X.

Yang, X. F.

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Yuan, S. Z.

Zhan, L.

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

Z. X. Zhang, L. Zhan, and Y. X. Xia, "Tunable self-seeded multiwavelength Brillouin-erbium fiber laser with enhanced power efficiency," Opt. Express 15, 9731-9736 (2007).
[CrossRef] [PubMed]

Zhang, A. L.

A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Zhang, L.

L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
[CrossRef]

Zhang, Z. X.

Zhao, C. L.

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Zhou, X.

Zhou, X. Q.

Electron. Lett.

D. Chen, S. Qin, Y. Gao, and S. Gao, "Wavelength-spacing continuously tunable multiwavelength erbium-doped fiber laser based on DSF and MZI," Electron. Lett. 43, 524-525 (2007).
[CrossRef]

IEE Proc.

M. Karasek and A. Bellemare, "Numerical analysis of multifrequency erbium-doped fiber ring laser employing periodic filter and frequency shifter," IEE Proc. 147, 115-119 (2002).

IEEE Photon. Technol. Lett.

A. L. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, "Stable and broad bandwidth multiwavelength fiber ring laser incorporating a highly nonlinear photonic crystal fiber," IEEE Photon. Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

J. Lightwave Technol.

A. Bellemare, A. Bellemare, M. Karasek, M. Rochette, S. A. L. S. Lrochelle, and M. A. T. M. Tetu, "Room temperature multifrequency erbium-doped fiber lasers anchored on the ITU Tetu, frequency grid," J. Lightwave Technol. 18, 825-831 (2000).
[CrossRef]

Y. G. Han, J. H. Lee, S. B. Lee, L. Pot�?, and A. Bogoni, "Novel multiwavelength erbium-doped fiber and Raman fiber ring lasers with continuous wavelength spacing tunability at room temperature," J. Lightwave Technol. 18, 2219-2225 (2007).

Opt. Commun.

L. Zhang, M. S. Demokan, and H. Y. Tam, "Room temperature multiwavelength erbium-doped fiber ring laser using a highly nonlinear photonic crystal fiber," Opt. Commun. 260, 670-674 (2006).
[CrossRef]

X. M. Liu, "Four-wave mixing self-stability based on photonic crystal fiber and its applications on erbium-doped fiber lasers," Opt. Commun. 260, 554-559 (2006).
[CrossRef]

S. K. Kim, M. J. Chu, and J. H. Lee, "Wideband multiwavelength erbium-doped fiber ring Laser with Frequency Shifted Feedback," Opt. Commun. 190, 291-302 (2001).
[CrossRef]

Y. Huang, L. Zhan, J. H. Ji, S. Y. Luo, and Y. Xia, "Multiwavelength self-seeded Brillouin-erbium fiber laser with 45-nm tunable range," Opt. Commun. 281, 452-456 (2008).
[CrossRef]

X. H. Feng, H. Y. Tam, H. L. Liu, and P. K. A. Wai, "Multiwavelength erbium-doped fiber laser employing a nonlinear optical loop mirror," Opt. Commun. 268, 278-281 (2006).
[CrossRef]

C. L. Zhao, X. F. Yang, C. Lu, N. J. Hong, X. Guo, P. R. Chaudhuri, and X. Y. Dong, "Switchable muiti-wavelength erbium-doped fiber lasers by using cascaded fiber laser Bragg gratings written in high birefringence fiber," Opt. Commun. 230, 313-317 (2004).
[CrossRef]

Opt. Express

Opt. Lett.

Other

G.P. Agrawal, Nonlinear Fiber Optics, 3rd (Academic, 2000).

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Figures (5)

Fig. 1.
Fig. 1.

Schematic diagram of FWM assisted MWEDFL

Fig. 2.
Fig. 2.

Output power as a function of wavelength (a) without nonlinear fiber (b) with nonlinear fiber

Fig. 3.
Fig. 3.

Output power as a function of wavelength for pump power of (a) 100mW (b)200mW (c) 300mW (d) 400mW.

Fig. 4.
Fig. 4.

Output power as a function of wavelength for nonlinear coefficient of (a) 20 /W/km (b) 30 /w/km when pump power is 100mW and the length of HNDSF is 1.2km

Fig. 5.
Fig. 5.

Standard derivations of output spectrum as a function of the length of HNDSF.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

E ( r , t ) = 1 2 x ̂ n A n ( z ) F n ( x , y ) exp { i [ β ( ω n ) z ω n t ] } + c . c .
dA n ( z ) dz = [ A n ( z ) 2 + 2 m n A m ( z ) 2 ] A n ( z ) + 2 m A n * ( z ) A m ( z ) A k ( z ) exp ( mkn z )
+ k A k * ( z ) A k 2 ( z ) exp ( i Δ β mnk z )
Δ β ijk = β 2 ( ω 0 ) Ω 2 + β 3 ( ω 0 ) ( ω 0 ω k ) Ω 2 +
dB n ( z ) dz = 2 γ m B n ( z ) B m ( z ) B k ( z ) sin θ mkn + γ k B m ( z ) B k 2 ( z ) sin θ mnk
d ϕ n dz = γ [ B n ( z ) 2 + 2 m n B m ( z ) 2 ] + 2 γ m B m ( z ) B k ( z ) cos θ mkn
+ γ B n 1 ( z ) k B m ( z ) B k 2 ( z ) cos θ mnk
θ ijk = Δ β ijk z + ϕ i + ϕ j 2 ϕ k
P i ( ω ) = L × F × FWM × EDF × P i 1 ( ω )

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