Abstract

We have demonstrated the realization of a high-polarization random fiber laser (RFL) output based on the hybrid Raman and Erbium gain with the tailored effect provided by a 45°-tilted fiber Bragg grating (45°-TFBG), revealing an improvement in the polarization extinction ratio (PER) and achieving a PER of ~15.3 dB. The hybrid RFL system incorporating the 45°-TFBG has been systematically characterized. The random lasing wavelength can be fixed under the extremely weak feedback effect of the 45°-TFBG with reflectivity of 0.09%. In addition, numerical simulation has verified that the weak feedback can boost the random lasing emission with fixed wavelength using a power balance model, which is in good accordance with the experiment results.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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Corrections

26 February 2019: Typographical corrections were made to the author affiliations and funding section.


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References

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    [Crossref] [PubMed]
  3. Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
    [Crossref]
  4. Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
    [Crossref] [PubMed]
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2018 (3)

2016 (3)

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

2015 (3)

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

H. Wu, Z. Wang, M. Fan, L. Zhang, W. Zhang, and Y. Rao, “Role of the mirror’s reflectivity in forward-pumped random fiber laser,” Opt. Express 23(2), 1421–1427 (2015).
[Crossref] [PubMed]

2013 (2)

2012 (5)

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

M. Pang, S. Xie, X. Bao, D. P. Zhou, Y. Lu, and L. Chen, “Rayleigh scattering-assisted narrow linewidth Brillouin lasing in cascaded fiber,” Opt. Lett. 37(15), 3129–3131 (2012).
[Crossref] [PubMed]

Z. Yan, C. Mou, H. Wang, K. Zhou, Y. Wang, W. Zhao, and L. Zhang, “All-fiber polarization interference filters based on 45°-tilted fiber gratings,” Opt. Lett. 37(3), 353–355 (2012).
[Crossref] [PubMed]

I. D. Vatnik, D. V. Churkin, and S. A. Babin, “Power optimization of random distributed feedback fiber lasers,” Opt. Express 20(27), 28033–28038 (2012).
[Crossref] [PubMed]

2010 (2)

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

2009 (1)

2007 (1)

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

2005 (1)

2001 (1)

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

1991 (1)

C. R. Giles and E. Desurvire, “Modeling erbium-doped fiber amplifiers,” J. Lightwave Technol. 9(2), 271–283 (1991).
[Crossref]

Ania-Castañón, J. D.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

Babin, S. A.

A. E. Budarnykh, I. A. Lobach, E. A. Zlobina, V. V. Velmiskin, S. I. Kablukov, S. L. Semjonov, and S. A. Babin, “Raman fiber laser with random distributed feedback based on a twin-core fiber,” Opt. Lett. 43(3), 567–570 (2018).
[Crossref] [PubMed]

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

I. D. Vatnik, D. V. Churkin, and S. A. Babin, “Power optimization of random distributed feedback fiber lasers,” Opt. Express 20(27), 28033–28038 (2012).
[Crossref] [PubMed]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Bao, X.

Bennion, I.

Brito-Silva, A. M.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

Budarnykh, A. E.

Cao, X. L.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Chaikina, E. I.

Chen, L.

Chen, X.

Chen, Y.

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Chen, Y. F.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Churkin, D.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Churkin, D. V.

I. D. Vatnik, D. V. Churkin, and S. A. Babin, “Power optimization of random distributed feedback fiber lasers,” Opt. Express 20(27), 28033–28038 (2012).
[Crossref] [PubMed]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

de Araújo, C. B.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

de Matos, C. J. S.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

de S Menezes, L.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

Desurvire, E.

C. R. Giles and E. Desurvire, “Modeling erbium-doped fiber amplifiers,” J. Lightwave Technol. 9(2), 271–283 (1991).
[Crossref]

El-Taher, A. E.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

Fan, M.

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

H. Wu, Z. Wang, M. Fan, L. Zhang, W. Zhang, and Y. Rao, “Role of the mirror’s reflectivity in forward-pumped random fiber laser,” Opt. Express 23(2), 1421–1427 (2015).
[Crossref] [PubMed]

Fan, M. Q.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Fu, Q.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Giles, C. R.

C. R. Giles and E. Desurvire, “Modeling erbium-doped fiber amplifiers,” J. Lightwave Technol. 9(2), 271–283 (1991).
[Crossref]

Gomes, A. S.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

Harper, P.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

He, Q.

H. Wu, Z. Wang, W. Sun, Q. He, Z. Wei, and Y. Rao, “1.5 µm low threshold, high efficiency random fiber laser with hybrid erbium–raman gain,” J. Lightwave Technol. 36(4), 844–849 (2018).
[Crossref]

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

Hu, Z.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Hu, Z. J.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Jia, X. H.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

Johnson, D. C.

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

Kablukov, S. I.

A. E. Budarnykh, I. A. Lobach, E. A. Zlobina, V. V. Velmiskin, S. I. Kablukov, S. L. Semjonov, and S. A. Babin, “Raman fiber laser with random distributed feedback based on a twin-core fiber,” Opt. Lett. 43(3), 567–570 (2018).
[Crossref] [PubMed]

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

Karalekas, V.

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Leskova, T. A.

Li, J.

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

Li, S. W.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

Li, Y.

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

Li, Y. R.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Lizárraga, N.

Lobach, I. A.

Lu, Y.

Luo, Y.

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Ma, R.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

Martinez Gámez, M. A.

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

Méndez, E. R.

Miao, B.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Mihailov, S. L.

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

Ming, H.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Mou, C.

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

Z. Yan, C. Mou, H. Wang, K. Zhou, Y. Wang, W. Zhao, and L. Zhang, “All-fiber polarization interference filters based on 45°-tilted fiber gratings,” Opt. Lett. 37(3), 353–355 (2012).
[Crossref] [PubMed]

Pang, M.

Podivilov, E. V.

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

Puente, N. P.

Rao, Y.

Rao, Y. J.

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Semjonov, S. L.

Simpson, G.

Stocki, T. J.

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

Sun, W.

H. Wu, Z. Wang, W. Sun, Q. He, Z. Wei, and Y. Rao, “1.5 µm low threshold, high efficiency random fiber laser with hybrid erbium–raman gain,” J. Lightwave Technol. 36(4), 844–849 (2018).
[Crossref]

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

Sun, Z.

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

Tian, X. J.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Turitsyn, S.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Turitsyn, S. K.

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Vatnik, I. D.

Velmiskin, V. V.

Walker, R. B.

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

Wang, H.

Wang, L. J.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Wang, P.

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Wang, T.

Wang, T. X.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Wang, X.

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

Wang, Y.

L. Zhang, Y. Wang, Y. Xu, D. Zhou, L. Chen, and X. Bao, “Linearly polarized multi-wavelength fiber laser comb via brillouin random lasing oscillation,” IEEE Photonics Technol. Lett. 30(11), 1005–1008 (2018).
[Crossref]

Z. Yan, C. Mou, H. Wang, K. Zhou, Y. Wang, W. Zhao, and L. Zhang, “All-fiber polarization interference filters based on 45°-tilted fiber gratings,” Opt. Lett. 37(3), 353–355 (2012).
[Crossref] [PubMed]

Wang, Z.

Wang, Z. N.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Wei, Z.

Wong, C. W.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Wu, H.

H. Wu, Z. Wang, W. Sun, Q. He, Z. Wei, and Y. Rao, “1.5 µm low threshold, high efficiency random fiber laser with hybrid erbium–raman gain,” J. Lightwave Technol. 36(4), 844–849 (2018).
[Crossref]

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

H. Wu, Z. Wang, M. Fan, L. Zhang, W. Zhang, and Y. Rao, “Role of the mirror’s reflectivity in forward-pumped random fiber laser,” Opt. Express 23(2), 1421–1427 (2015).
[Crossref] [PubMed]

Wu, Y.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Xie, S.

Xu, Y.

L. Zhang, Y. Wang, Y. Xu, D. Zhou, L. Chen, and X. Bao, “Linearly polarized multi-wavelength fiber laser comb via brillouin random lasing oscillation,” IEEE Photonics Technol. Lett. 30(11), 1005–1008 (2018).
[Crossref]

Yan, Z.

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

Z. Yan, C. Mou, H. Wang, K. Zhou, Y. Wang, W. Zhao, and L. Zhang, “All-fiber polarization interference filters based on 45°-tilted fiber gratings,” Opt. Lett. 37(3), 353–355 (2012).
[Crossref] [PubMed]

Yao, B. C.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Zhang, D.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Zhang, L.

L. Zhang, Y. Wang, Y. Xu, D. Zhou, L. Chen, and X. Bao, “Linearly polarized multi-wavelength fiber laser comb via brillouin random lasing oscillation,” IEEE Photonics Technol. Lett. 30(11), 1005–1008 (2018).
[Crossref]

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

H. Wu, Z. Wang, M. Fan, L. Zhang, W. Zhang, and Y. Rao, “Role of the mirror’s reflectivity in forward-pumped random fiber laser,” Opt. Express 23(2), 1421–1427 (2015).
[Crossref] [PubMed]

Z. Yan, C. Mou, H. Wang, K. Zhou, Y. Wang, W. Zhao, and L. Zhang, “All-fiber polarization interference filters based on 45°-tilted fiber gratings,” Opt. Lett. 37(3), 353–355 (2012).
[Crossref] [PubMed]

K. Zhou, G. Simpson, X. Chen, L. Zhang, and I. Bennion, “High extinction ratio in-fiber polarizers based on 45 ° tilted fiber Bragg gratings,” Opt. Lett. 30(11), 1285–1287 (2005).
[Crossref] [PubMed]

Zhang, Q.

Z. Hu, B. Miao, T. Wang, Q. Fu, D. Zhang, H. Ming, and Q. Zhang, “Disordered microstructure polymer optical fiber for stabilized coherent random fiber laser,” Opt. Lett. 38(22), 4644–4647 (2013).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Zhang, Q. J.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Zhang, W.

Zhang, W. L.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Zhao, W.

Zheng, H. J.

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Zhou, D.

L. Zhang, Y. Wang, Y. Xu, D. Zhou, L. Chen, and X. Bao, “Linearly polarized multi-wavelength fiber laser comb via brillouin random lasing oscillation,” IEEE Photonics Technol. Lett. 30(11), 1005–1008 (2018).
[Crossref]

Zhou, D. P.

Zhou, J. H.

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

Zhou, K.

Zhu, Y. Y.

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

Zlobina, E. A.

A. E. Budarnykh, I. A. Lobach, E. A. Zlobina, V. V. Velmiskin, S. I. Kablukov, S. L. Semjonov, and S. A. Babin, “Raman fiber laser with random distributed feedback based on a twin-core fiber,” Opt. Lett. 43(3), 567–570 (2018).
[Crossref] [PubMed]

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

Zou, G.

Z. Hu, Q. Zhang, B. Miao, Q. Fu, G. Zou, Y. Chen, Y. Luo, D. Zhang, P. Wang, H. Ming, and Q. Zhang, “Coherent random fiber laser based on nanoparticles scattering in the extremely weakly scattering regime,” Phys. Rev. Lett. 109(25), 253901 (2012).
[Crossref] [PubMed]

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Electron. Lett. (1)

S. L. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, “Fabrication of tilted fibregrating polarisation-dependent loss equiliser,” Electron. Lett. 37(5), 284–286 (2001).
[Crossref]

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

W. L. Zhang, S. W. Li, R. Ma, Y. J. Rao, Y. Y. Zhu, Z. N. Wang, X. H. Jia, and J. Li, “Random distributed feedback fiber laser based on combination of Er-doped fiber and single-mode fiber,” IEEE J. Sel. Top. Quantum Electron. 21(1), 0900406 (2015).

IEEE Photonics Technol. Lett. (1)

L. Zhang, Y. Wang, Y. Xu, D. Zhou, L. Chen, and X. Bao, “Linearly polarized multi-wavelength fiber laser comb via brillouin random lasing oscillation,” IEEE Photonics Technol. Lett. 30(11), 1005–1008 (2018).
[Crossref]

IEEE Sens. J. (1)

Z. Sun, Z. Yan, C. Mou, X. Wang, J. Li, and L. Zhang, “All-fiber loading sensor based on a hybrid 45° and 81° tilted fiber grating structure,” IEEE Sens. J. 16(2), 343–348 (2016).
[Crossref]

J. Lightwave Technol. (2)

Laser Phys. Lett. (1)

H. Wu, Z. Wang, Q. He, M. Fan, Y. Li, W. Sun, L. Zhang, Y. Li, and Y. J. Rao, “Polarization-modulated random fiber laser,” Laser Phys. Lett. 13(5), 055101 (2016).
[Crossref]

Nat. Photonics (1)

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Opt. Commun. (1)

Z. J. Hu, H. J. Zheng, L. J. Wang, X. J. Tian, T. X. Wang, Q. J. Zhang, G. Zou, Y. Chen, and Q. Zhang, “Random fiber laser of POSS solution filled hollow optical fiber by end pumping,” Opt. Commun. 285(19), 3967–3970 (2012).
[Crossref]

Opt. Express (3)

Opt. Lett. (6)

Phys. Rev. A (1)

D. V. Churkin, S. A. Babin, A. E. El-Taher, P. Harper, S. I. Kablukov, V. Karalekas, J. D. Ania-Castañón, E. V. Podivilov, and S. K. Turitsyn, “Raman fiber lasers with a random distributed feedback based on Rayleigh scattering,” Phys. Rev. A 82(3), 033828 (2010).
[Crossref]

Phys. Rev. Lett. (2)

C. J. S. de Matos, L. de S Menezes, A. M. Brito-Silva, M. A. Martinez Gámez, A. S. Gomes, and C. B. de Araújo, “Random fiber laser,” Phys. Rev. Lett. 99(15), 153903 (2007).
[Crossref] [PubMed]

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[Crossref] [PubMed]

Sci. Rep. (2)

S. A. Babin, E. A. Zlobina, S. I. Kablukov, and E. V. Podivilov, “High-order random Raman lasing in a PM fiber with ultimate efficiency and narrow bandwidth,” Sci. Rep. 6(1), 22625 (2016).
[Crossref] [PubMed]

B. C. Yao, Y. J. Rao, Z. N. Wang, Y. Wu, J. H. Zhou, H. Wu, M. Q. Fan, X. L. Cao, W. L. Zhang, Y. F. Chen, Y. R. Li, D. Churkin, S. Turitsyn, and C. W. Wong, “Graphene based widely-tunable and singly-polarized pulse generation with random fiber lasers,” Sci. Rep. 5(1), 18526 (2015).
[Crossref] [PubMed]

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M. Young, Optics and Lasers: Including Fibers and Optical Waveguides, 5th Edition (Springer, 2000).

G. P. Agrawal, Fiber-Optic Communication Systems, 4th Edition (Wiley, 2010).

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Figures (9)

Fig. 1
Fig. 1 The schematic setup of the proposed hybrid ERFS with 45°-TFBG feedback. WDM: wavelength-division multiplexer with 1455 nm, 1500-1600 nm and common ports; 45°-TFBG: 45°-Tilted Fiber Bragg Grating; ISO: isolator; PC: polarization controller; P: polarizer, OSA: optical spectrum analyzer; EDF: Erbium doped fiber; SMF: single mode fiber.
Fig. 2
Fig. 2 The RFL spectra at different pump power. Inset: the output power of RFL versus pump power, MPI: Main peak intensity.
Fig. 3
Fig. 3 The random lasing spectra at different pump time with pump power of 4.4 W.
Fig. 4
Fig. 4 The random lasing spectra in ERFS with the 45°-TFBG for Port 1 (a) and 2 (b). Inset: the output power of RFL versus pump power corresponding Port 1 and 2.
Fig. 5
Fig. 5 The reflection spectrum of the 45°-TFBG.
Fig. 6
Fig. 6 The random lasing wavelength stability from Port 1 (a), and 2 (b).
Fig. 7
Fig. 7 The PER spectra from Port 1 (a), and 2 (b).
Fig. 8
Fig. 8 Numerical simulated output spectra in forward direction for different reflectivity correspond to pump power of 0.5 (a), 1.5 (b), 2 (c) and 2.5 W (d). R: the reflectivity of the 45°-TFBG.
Fig. 9
Fig. 9 Numerical simulated output spectra in backward direction for different reflectivity correspond to pump power of 0.5 (a), 1.5 (b), 2 (c) and 2.5 W (d).

Equations (3)

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N 2 ¯ N t ¯ = k = 0 N ( P k + + P k ) α k h υ k ζ 1 + k = 0 N ( P k + + P k ) ( α k + g k ) h υ k ζ
d P k ± d z = ± ( α k + g k ) N 2 ¯ N t ¯ P k ± ± 2 g k N 2 ¯ N t ¯ h v k Δ v k ( α k + l k ) P k ± + ε k P k
d P k ± d z = a k P k ± ± η g k ( P 0 + + P 0 - ) P k ± ± ε k P k ( 1 η ) k ' = 1 N v 0 v k ' ( P k ' + + P k ' - ) P 0 ±

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