1. Liao, K. H., A. G. Mordovanakis, B. Hou, G. Chang, M. Rever, G. Mourou, J. Nees, and A. Galvanauskas, "Generation of hard X-rays using an ultrafast fiber laser system," Opt. Express, Vol. 15, 13942-13948, 2007.
doi:10.1364/OE.15.013942
2. Kelson, I. and A. Hardy, "Optimization of strongly pumped fiber lasers," J. Ligthwave Technol., Vol. 17, 891-897, 1999.
doi:10.1109/50.762908
3. Zervas, M. N. and C. A. Codemard, "High power fiber lasers: A review," IEEE J. Select. Topic. Quant. Electron., Vol. 20, 0904123, 2014.
doi:10.1109/JSTQE.2014.2321279
4. Susnjar, P., V. Agrez, and R. Petkovsek, "Photodarkening as a heat source in ytterbium doped fiber amplifiers," Opt. Express, Vol. 26, 6420-642615265-15277, 2018.
doi:10.1364/OE.26.006420
5. Engholm, M., L. Norin, C. Hirt, S. T. Fredrich-Thorntonc, K. Petermannc, and G. Huberc, "Quenching processes in Yb lasers correlation to the valence stability of the Yb ion," Proc. of SPIE, Vol. 7193, 71931U-1, 2009.
doi:10.1117/12.811977
6. Ward, B., "Theory and modeling of photodarkening induced quasi static degradation in fiber amplifiers," Opt. Express, Vol. 24, 3488-3501, 2016.
doi:10.1364/OE.24.003488
7. Ding, M. and P. K. Cheo, "Dependence of ion-pair induced self-pulsing in Er-doped fiber lasers on emission to absorption ratio," IEEE. Photon. Technol. Lett., Vol. 8, 1627-1629, 1996.
doi:10.1109/68.544699
8. Huang, L., H. Zhang, X. Wang, and P. Zhou, "Diode-pumped 1178-nm high-power Yb-doped fiber laser operating at 125 C," IEEE Photonics Journal, Vol. 8, 1501407, 2016.
9. Brown, D. C. and H. J. Hoffman, "Thermal, stress, and thermo-optic effects in high average power double-clad silica fiber lasers," IEEE J. Quant. Electron., Vol. 37, 207-217, 2001.
doi:10.1109/3.903070
10. Oron, R. and A. A. Hardy, "Rayleigh backscattering and amplified spontaneous emission in high-power Ytterbium-doped fiber amplifiers," J. Opt. Soc. Am. B, Vol. 16, 695-801, 1999.
doi:10.1364/JOSAB.16.000695
11. Kaushal, H. and G. Kaddoum, "Applications of lasers for tactical military operations," Digital Object Identifier 10.1109/ACCESS, Vol. 5, 20736-20753, 2017.
12. Dong, L. and B. Samson, Fiber Lasers: Basics, Technology, and Applications, CRC Press, printed on acid-free paper, 2017.
13. Shao, H., K. Duan, Y. Zhu, H. Yan, H. Yang, and W. Zhao, "Numerical analysis of Ytterbium-doped double-clad fiber lasers based on the temperature-dependent rate equation," Optik, Vol. 124, 4336-4340, 2013.
doi:10.1016/j.ijleo.2013.02.017
14. Yang, J., Y. Wang, Y. Tang, and J. Xu, "Influences of pump transitions on thermal effects of multi-kilowatt thulium-doped fiber lasers,", arXiv:1503.07256v1 [physics.optics], 2015.
15. Baravets, Y., F. Todorov, and P. Honzatko, "High-power thulium-doped fiber laser in an all-fiber configuration," Proceedings of the SPIE, Vol. 10142, id. 101420G 4, 2016.
16. Wagener, J. L., P. F. Wysocki, M. J. F. Digonnet, H. J. Shaw, and D. J. Digiovanni, "Effects of concentration and clusters in erbium-doped fiber lasers," Opt. Lett., Vol. 18, 2014-2016, 1993.
doi:10.1364/OL.18.002014
17. Dawson, J. W., M. J. Messerly, R. J. Beach, M. Y. Shverdin, E. A. Stappaerts, A. K. Sridharan, P. H. Pax, J. E. Heebner, C. W. Siders, and C. P. J. Barty, "Analysis of the scalability of diffraction-limited fiber lasers and amplifiers to high average power," Opt. Express, Vol. 16, 13240-13266, 2008.
doi:10.1364/OE.16.013240
18. Yao, T., J. Ji, and J. Nilsson, "Ultra-low quantum-defect heating in Ytterbium-doped aluminosilicate fibers," J. Lightwav. Technol., Vol. 32, 429-434, 2014.
doi:10.1109/JLT.2013.2290284
19. Rimington, N. W., S. L. Schieffer, W. Andreas Schroeder, and B. K. Brickeen, "Thermal lens shaping in Brewster gain media: A high-power, diode-pumped Nd:GdVO4 laser," Opt. Express, Vol. 12, 1426-1436, 2004.
doi:10.1364/OPEX.12.001426
20. Kuznetsov, M. S., O. L. Antipov, A. A. Fotiadi, and P. Megret, "Electronic and thermal refractive index changes in Ytterbium-doped fiber amplifiers," Opt. Express, Vol. 21, 22374-22388, 2013.
doi:10.1364/OE.21.022374
21. Sabaeian, M. and H. Nadgaran, "Investigation of thermal dispersion and thermally-induced birefringence on high-power double clad Yb:glass fiber laser," International Journal of Optics and Photonics (IJOP), Vol. 2, 25-31, 2008.
22. Kong, F., J. Xue, R. H. Stolen, and L. Dong, "Direct experimental observation of stimulated thermal Rayleigh scattering with polarization modes in a fiber amplifier," LET Optica, Vol. 3, 975-978, 2016.
doi:10.1364/OPTICA.3.000975
23. Kelson, I. and A. A. Hardy, "Strongly pumped fiber lasers," IEEE J. Quant. Electron., Vol. 34, 1570-1577, 1998.
doi:10.1109/3.709573
24. Xiao, L., P. Yan, M. Gong, W. Wei, and P. Ou, "An approximate analytic solution of strongly pumped Yb-doped double-clad fiber lasers without neglecting the scattering loss," Opt. Commun., Vol. 230, 401-410, 2004.
doi:10.1016/j.optcom.2003.11.017
25. Hardy, A., "Signal amplification in strongly pumped fiber amplifiers," IEEE. J. Quant. Electron., Vol. 33, 307-313, 1997.
doi:10.1109/3.555997
26. Karimi, M. and A. H. Farahbod, "Improved shooting algorithm using answer ranges definition to design doped optical fiber laser," Opt. Commun., Vol. 324, 212-220, 2014.
doi:10.1016/j.optcom.2014.03.013
27. Hu, X., T. Ning, L. Pei, and W. Jian, "Novel shooting method with simple control strategy for fiber lasers," Optik, Vol. 125, 1975-1979, 2014.
doi:10.1016/j.ijleo.2013.09.077
28. Luo, Z., C. Ye, G. Sun, Z. Cai, M. Si, and Q. Li, "Simplified analytic solutions and a novel fast algorithm for Yb3+-doped double-clad fiber lasers," Opt. Commun., Vol. 277, 118-124, 2007.
doi:10.1016/j.optcom.2007.03.053
29. Digonnet, M. J. F., "Theory of superfluorescent fiber lasers," J. Lightwave Technol., Vol. 4, 1631-1639, 1986.
doi:10.1109/JLT.1986.1074661
30. Desurvire, E., Erbium Doped Fiber Amplifiers: Principles and Applications, Wiley, New York, 1994.
31. Karimi, M., N. Granpayeh, and M. K. Moravvej Farshi, "Analysis and design of the dye doped polymer optical fiber amplifiers," Appl. Physics B, Vol. 78, 387-396, 2004.
doi:10.1007/s00340-003-1390-5
32. Brunet, F., Y. Taillon, P. Galarneau, and S. Larochelle, "Practical design of double-clad Ytterbium-doped fiber amplifiers using Giles parameters," IEEE J. Quant. Electron., Vol. 40, 1294-1300, 2004.
doi:10.1109/JQE.2004.833223
33. Yan, P., X. Wang, Y. Huang, C. Fu, J. Sun, Q. Xiao, D. Li, and M. Gong, "Fiber core mode leakage induced by refractive index variation in high-power fiber laser," Chin. Phys. B, Vol. 26, 034205, 2017.
doi:10.1088/1674-1056/26/3/034205
34. Agrawal, G. P., Fiber-optic Communication Systems, 3rd Ed., A John Wiley & Sons, Inc., 2002.
doi:10.1002/0471221147
35. Karimi, M., "Optimization of core size in erbium doped holey fiber amplifiers," Optik, Vol. 125, 2780-2783, 2014.
doi:10.1016/j.ijleo.2013.11.054
36. Prudenzano, F., "Erbium-doped hole-assisted optical fiber amplifier: Design and optimization," J. Ligthwave Technol., Vol. 23, 330-340, 2005.
doi:10.1109/JLT.2004.838808
37. Marcuse, D., "Loss analysis of single-mode fiber splices," The Bell System Technology Journal, Vol. 56, 703-718, 1977.
doi:10.1002/j.1538-7305.1977.tb00534.x
38. Leproux, P. and S. Fevrier, "Modeling and optimization of double-clad fiber amplifiers using chaotic propagation of the pump," Optical Fiber Technol., Vol. 6, 324-339, 2001.
doi:10.1006/ofte.2001.0361
39. Kouznetsov, D. and J. V. Moloney, "Highly efficient, high-gain, short-length, and power-scalable incoherent diode slab-pumped fiber amplifier/laser," IEEE J. Quant. Electron., Vol. 39, 1452-1461, 2003.
doi:10.1109/JQE.2003.818311
40. Quintela, M. A., C. Lavin, M. Lomer, A. Quintela, and J. M. Lopez-Higuera, "Superfluorescent erbium doped fiber optic sources comparative study," Proc. of SPIE, Vol. 5952, 1-10, 2005.
41. Casperson, L. W. and A. Yariv, "Spectral narrowing in high-gain lasers," IEEE J. Quantum. Electron., Vol. 8, 80, 1972.
doi:10.1109/JQE.1972.1076944
42. Xiao, L., P. Yan, M. Gong, W. Wei, and P. Ou, "An approximate analytic solution of strongly pumped Yb-doped double-clad fiber lasers without neglecting the scattering loss," Opt. Commun., Vol. 230, 401-410, 2004.
doi:10.1016/j.optcom.2003.11.017
43. Pask, H. M., R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, and J. M. Dawes, "Ytterbium-doped silica fiber lasers: Versatile sources for the 1-1.2 pm region," IEEE J. Selected Top. in Quant. Electron., Vol. 1, 2-13, 1995.
doi:10.1109/2944.468377
44. Lim, C. and Y. Izawa, "Modeling of end-pumped CW quasi-three-level lasers," IEEE J. Quant. Electron., Vol. 38, 306-311, 2002.
doi:10.1109/3.985572
45. Kong, F., C. Dunn, J. Parsons, M. T. Kalichevsky-Dong, T. W. Hawkins, M. Jones, and L. Dong, "Large-mode-area fibers operating near singlemode regime," Opt. Express, Vol. 24, 10295-10301, 2016.
doi:10.1364/OE.24.010295
46. Wielandy, S., "Implications of higher-order mode content in large mode area fibers with good beam quality," Opt. Express, Vol. 15, 15402-15409, 2016.
doi:10.1364/OE.15.015402
47. Snitzer, E., H. Po, F. Hakimi, R. Tumminelli, and B. C. McCollum, "Double-clad, offset core Nd fiber laser," The Opt. Fiber Commun. Conf., New Orleans, LA, PD5, 1988.
48. Jauregui, C., H. J. Otto, S. Breitkopf, J. Limpert, and A. T¨unnermann, "Optimizing the mode instability threshold of high-power fiber laser systems," Proc. of SPIE, Fiber Lasers XIII: Technology, Systems, and Applications, Vol. 9728, 97280B, 2015.
49. Otto, H. J., N. Modsching, C. Jauregui, J. Limpert, and A. T¨unnermann, "Impact of photodarkening on the mode instability threshold," Opt. Express, Vol. 23, 15265-15277, 2015.
doi:10.1364/OE.23.015265
50. Jauregui, C., H. J. Ottoa, C. Stihler, J. Limpert, and A. Tunnermann, "The impact of core co-dopants on the mode instability threshold of high-power fiber laser systems," Proc. of SPIE, Fiber Lasers XIV: Technology and Systems, Vol. 10083, 100830N, 2017.
51. Li, J., K. Duan, Y. Wang, X. Cao, W. Zhao, Y. Guo, and X. Lin, "Theoretical analysis of the heat dissipation mechanism in Yb3+-doped double-clad fiber lasers," J. Modern Optic, Vol. 55, 459-471, 2008.
doi:10.1080/09500340701477784
52. Yan, P., A. Xu, and M. Gong, "Numerical analysis of temperature distributions in Yb-doped double-clad fiber lasers with consideration of radiative heat transfer," Opt. Engin., Vol. 45, 124201, 2006.
doi:10.1117/1.2402934
53. Davis, M. K., M. J. F. Digonnet, and R. H. Pantell, "Thermal effects in doped fibers," J. Lightwave Technol., Vol. 16, 1013-1013, 1998.
doi:10.1109/50.681458
54. Li, J., Y. Chen, M. Chen, H. Chen, X. Jin, Y. Yang, Z. Dai, and Y. Liu, "Theoretical analysis and heat dissipation of mid-infrared chalcogenide fiber Raman laser," Opt. Commun., Vol. 284, 1278-1283, 2011.
doi:10.1016/j.optcom.2010.10.062
55. Lapointe, M. A., S. Chatigny, M. Pich´e, M. C. Skaff, and J. N. Maran, "Thermal effects in high-power CW fiber lasers," Proc. SPIE Fiber Lasers VI: Technology, Systems, and Applications, Vol. 7195, 1U, 2009.
56. Jauregui, C., H. J. Otto, F. Stutzki, J. Limpert, and A. Tunnermann, "Simplified modelling the mode instability threshold of high power fiber amplifiers in the presence of photodarkening," Opt. Express, Vol. 23, 20203-20218, 2015.
doi:10.1364/OE.23.020203
57. Lood, F. and N. P. Kherani, "Influence of luminescent material properties on stimulated emission luminescent solar concentrators (SELSCs) using a 4-level system," Opt. Express, Vol. 25, A1023, 2017.
doi:10.1364/OE.25.0A1023
58. Ward, B., "Theory and modeling of photodarkening induced quasi static degradation in fiber amplifiers," Opt. Express, Vol. 24, 3488-3501, 2016.
doi:10.1364/OE.24.003488
59. Kuznetsov, M. S., O. L. Antipov, A. A. Fotiadi, and P. Megret, "Electronic and thermal refractive index changes in Ytterbium-doped fiber amplifiers," Opt. Express, Vol. 21, 22374-22388, 2013.
doi:10.1364/OE.21.022374
60. Abouricha, M., A. Boulezhar, and N. Habiballah, "The comparative study of the temperature distribution of fiber laser with different pump schemes," O. J. Metal, Vol. 3, 64-71, 2013.
doi:10.4236/ojmetal.2013.34010
61. Naderi, S., I. Dajani, T. Madden, and C. Robin, "Investigations of modal instabilities in fiber amplifiers through detailed numerical simulations," Opt. Express, Vol. 21, 16111-16129, 2013.
doi:10.1364/OE.21.016111
62. Hansen, K. R., T. T. Alkeskjold, J. Broeng, and J. Lægsgaard, "Theoretical analysis of mode instability in high-power fiber amplifiers," Opt. Express, Vol. 21, 1944-1971, 2013.
doi:10.1364/OE.21.001944
63. Smith, A. V. and J. J. Smith, "Increasing mode instability thresholds of fiber amplifiers by gain saturation," Opt. Express, Vol. 21, 15168-15182, 2013.
doi:10.1364/OE.21.015168
64. Ward, B., C. Robin, and I. Dajani, "Origin of thermal modal instabilities in large mode area fiber amplifiers," Opt. Express, Vol. 2, 11407-11422, 2012.
doi:10.1364/OE.20.011407
65. Ward, B. G., "Accurate modeling of rod-type photonic crystal fiber amplifiers," Proc. of SPIE, Vol. 9728, 97280F-1, 2015.
66. Tao, R., P. Ma, X. Wang, P. Zhou, and Z. Liu, "1.3 kW monolithic linearly polarized single-mode master oscillator power amplifier and strategies for mitigating mode instabilities," Photon. Res., Vol. 3, 86-93, 2015.
doi:10.1364/PRJ.3.000086
67. Tao, R., X. Wang, P. Zhou, and Z. Liu, "Seed power dependence of mode instabilities in high power fiber amplifiers," J. Opt., 103667.R1, 2017.
68. Lægsgaard, J., "Static thermo-optic instability indouble-pass fiber amplifiers," Opt. Express, Vol. 24, 13429-13443, 2016.
doi:10.1364/OE.24.013429
69. Gong, M., Y. Yuan, C. Li, P. Yan, H. Zhang, and S. Liao, "Numerical modeling of transverse mode competition in strongly pumped multimode fiber lasers and amplifiers," Opt. Express, Vol. 15, 3236-3246, 2007.
doi:10.1364/OE.15.003236
70. Mohammed, Z., H. Saghafifar, and M. Soltanolkotabi, "An approximate analytical model for temperature and power distribution in high power Yb-doped double clad fiber lasers," Laser Phys., Vol. 24, 115107, 2014.
doi:10.1088/1054-660X/24/11/115107
71. Sabaeian, M., H. Nadgaran, M. De Sario, L. Mescia, and F. Prudenzano, "Thermal effects on double clad octagonal Yb:glass fiber laser," Optical Materials, Vol. 31, 1300-1305, 2009.
doi:10.1016/j.optmat.2008.10.034
72. Neumark, S., Solution of Cubic and Quartic Equations, 1st Ed., Pergam on Press, Oxford, London, 1965.
73. Kelson, I. and A. Hardy, "Optimization of strongly pumped fiber lasers," J. of Ligthwave Technol., Vol. 17, 891-897, 1999.
doi:10.1109/50.762908
74. Pask, H. M., R. J. Carman, D. C. Hanna, A. C. Tropper, C. J. Mackechnie, P. R. Barber, and J. M. Dawes, "Ytterbium-doped silica fiber lasers: Versatile sources for the 1–1.2 pm region," IEEE J. of Quant. Electron., Vol. 1, 2-13, 1995.
doi:10.1109/2944.468377
75. Fan, Y., B. He, J. Zhou, J. Zheng, H. Liu, Y. Wei, J. Dong, and Q. Lou, "Thermal effects in kilowatt all-fiber MOPA," Opt. Express, Vol. 19, 15162-15172, 2011.
doi:10.1364/OE.19.015162