基于二维材料非线性效应的多波长超快激光器研究进展(特邀)
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摘要
多波长超快激光器在光通信、医学诊断和光学传感等各种应用中有着十分重要的应用前景。2009年以来,石墨烯、拓扑绝缘体、过渡金属硫化物和黑磷等二维材料在超快光子学领域的发展非常快速。它们独特的非线性光学特性,使之能够被用作快速响应、宽带运转的可饱和吸收体且能够容易地集成到激光器中。研究发现,基于二维材料的非线性光学器件是研究激光器内非线性脉冲动力学演化的理想平台。在文中,回顾了二维材料在多波长超快激光器中应用的最新进展。进而,阐述了多波长的耗散孤子、矩形脉冲和亮暗孤子对等脉冲类型。最后,提出了这类多波长超快激光器面临的挑战和应用前景。
Multi-wavelength ultrafast lasers play an important role in a variety of applications ranging from optical communications to medical diagnostics and optical sensing. Two-dimensional(2D) materials,including graphene, topological insulators, transition metal dichalcogenides, and phosphorene, have witnessed a very fast development of both fundamental and practical aspects in ultrafast photonics since2009. Their unique nonlinear optical properties enable them to be used as excellent saturable absorbers with fast responses and broadband operation and can be easily integrated into lasers. Here, we review the recent advances in the exploitation of these 2D materials in multi-wavelength ultrafast lasers. Interestingly,study found that, 2D materials-based nonlinear optical device is an ideal platform for nonlinear pulse dynamics study. Thus, versatile pulse patterns, including dissipative soliton, rectangular pulse, and bright-dark soliton pair, are also demonstrated. Finally, current challenges and future application opportunities of2 D materials-based multi-wavelength ultrafast lasers are presented.
Multi-wavelength ultrafast lasers play an important role in a variety of applications ranging from optical communications to medical diagnostics and optical sensing. Two-dimensional(2D) materials,including graphene, topological insulators, transition metal dichalcogenides, and phosphorene, have witnessed a very fast development of both fundamental and practical aspects in ultrafast photonics since2009. Their unique nonlinear optical properties enable them to be used as excellent saturable absorbers with fast responses and broadband operation and can be easily integrated into lasers. Here, we review the recent advances in the exploitation of these 2D materials in multi-wavelength ultrafast lasers. Interestingly,study found that, 2D materials-based nonlinear optical device is an ideal platform for nonlinear pulse dynamics study. Thus, versatile pulse patterns, including dissipative soliton, rectangular pulse, and bright-dark soliton pair, are also demonstrated. Finally, current challenges and future application opportunities of2 D materials-based multi-wavelength ultrafast lasers are presented.
引文
[1] Keller U. Recent developments in compact ultrafast lasers[J].Nature, 2003, 424(6950):831.
[2] Suh M G, Yang Q F, Yang K Y, et al. Microresonator soliton dual-combspectroscopy[J]. Science, 2016, 354(6312):600-613.
[3] Li J, Yi X, Lee H, et al. Electro-optical frequency division and stablemicrowave synthesis[J]. Science, 2014, 345(6194):309-313.
[4] Agrawal G P. Nonlinear Fiber Optics[M]. Berlin:Springer,2000:195-211.
[5] Schlager J B, Kawanishi S, Saruwatari M. Dual wavelength pulse generation using mode-locked erbium-doped fibre ring laser[J]. Electronics Letters, 1991, 27(22):2072-2073.
[6] Li S, Chan K T. Electrical wavelength tunable and multiwavelength actively mode-locked fiber ring laser[J].Applied Physics Letters, 1998, 72(16):1954-1956.
[7] Zhao Y, Shu C. A fiber laser for effective generation of tunable single-and dual-wavelength mode-locked optical pulses[J]. Applied Physics Letters, 1998, 72(13):1556-1558.
[8] Bakhshi B, Andrekson P A. Dual-wavelength 10-GHz actively mode-locked erbium fiber laser[J]. IEEE Photonics Technology Letters, 1999, 11(11):1387-1389.
[9] Deparis O, Kiyan R, Salik E, et al. Round-trip time and dispersion optimization in a dual-wavelength actively modelocked Er-doped fiber laser including nonchirped fiber Bragg gratings[J]. IEEE Photonics Technology Letters, 1999, 11(10):1238-1240.
[10] Town G E, Chen L, Smith P W E. Dual-wavelength modelocked fiber laser[J]. IEEE Photonics Technology Letters,2000, 12(11):1459-1461.
[11] Pudo D, Chen L R. Actively mode-locked, quadruplewavelength fibre laser with pump-controlled wavelength switching[J]. Electronics Letters, 2003, 39(3):272-274.
[12] Lou J W, Carruthers T F, Currie M. 4×10 GHz mode-locked multiple-wavelength fiber laser[J]. IEEE Photonics Technology Letters, 2004, 16(1):51-53.
[13] Yao J, Yao J, Deng Z. Multiwavelength actively modelocked fiber ring laser with suppressed homogeneous line broadening and reduced supermodenoise[J]. Optics Express,2004, 12(19):4529-4534.
[14] Chen Z, Ma S, Dutta N K. Multiwavelength fiber ring laser based on a semiconductor and fiber gain medium[J]. Optics Express, 2009, 17(3):1234-1239.
[15] Noske D U, Guy M J, Rottwitt K, et al. Dual-wavelength operation of a passively mode-locked"figure-of-eight"ytterbium-erbium fibre soliton laser[J]. Optics Communications, 1994, 108(4-6):297-301.
[16] Yun L, Liu X, Mao D. Observation of dual-wavelength dissipative solitons in a figure-eight erbium-doped fiber laser[J]. Optics Express, 2012, 20(19):20992-20997.
[17] Ning Q Y, Wang S K, Luo A P, et al. Bright-dark pulse pair in a figure-eight dispersion-managed passively modelocked fiber laser[J]. IEEE Photonics Journal, 2012, 4(5):1647-1652.
[18] Krzempek K, Sobon G, Sotor J, et al. Fully-integrated dualwavelength all-fiber source for mode-locked square-shaped mid-IR pulse generation via DFG in PPLN[J]. Optics Express, 2015, 23(25):32080-32086.
[19] Jin X, Wang X, Wang X, et al. Tunable multiwavelength mode-locked Tm/Ho-doped fiber laser based on a nonlinear amplified loop mirror[J]. Applied Optics, 2015, 54(28):8260-8264.
[20] Shao Z, Qiao X, Rong Q, et al. Generation of dualwavelength square pulse in a figure-eight erbium-doped fiber laser with ultra-large net-anomalous dispersion[J]. Applied Optics, 2015, 54(22):6711-6716.
[21] Posada-Ramírez B, Durán-Sánchez M,魣lvarez-Tamayo R I,et al. Study of a Hi-Bi FOLM for tunable and dualwavelength operation of a thulium-doped fiber laser[J].Optics Express, 2017, 25(3):2560-2568.
[22] Matsas V J, Newson T P, Richardson D J, et al. Selfstarting passively mode-locked fibre ring soliton laser exploiting nonlinear polarisation rotation[J]. Electronics Letters, 1992,28(15):1391-1393.
[23] Gong Y D, Tian X L, Tang M, et al. Generation of dual wavelength ultrashort pulse outputs from a passive mode locked fiber ring laser[J]. Optics Communications, 2006,265(2):628-631.
[24] Zhang Z, Zhan L, Xu K, et al. Multiwavelength fiber laser with fine adjustment, based on nonlinear polarization rotation and birefringence fiber filter[J]. Optics Letters, 2008, 33(4):324-326.
[25] Chen Z, Sun H, Ma S, et al. Dual-wavelength mode-locked erbium-doped fiber ring laser using highly nonlinear fiber[J]. IEEE Photonics Technology Letters, 2008, 20(24):2066-2068.
[26] Chen W C, Luo Z C, Xu W C. The interaction of dual wavelength solitons in fiber laser[J]. Laser Physics Letters,2009, 6(11):816.
[27] Luo Z C, Luo A P, Xu W C, et al. Modulation instability induced by cross-phase modulation in a dual-wavelength dispersion-managed soliton fiber ring laser[J]. Applied Physics B, 2010, 100(4):811-820.
[28] Luo Z C, Luo A P, Xu W C, et al. Tunable multiwavelength passively mode-locked fiber ring laser using intracavity birefringence-induced comb filter[J]. IEEE Photonics Journal, 2010, 2(4):571-577.
[29] Luo A P, Luo Z C, Xu W C, et al. Tunable and switchable dual-wavelength passively mode-locked Bi-doped all-fiber ring laser based on nonlinear polarization rotation[J]. Laser Physics Letters, 2011, 8(8):601-605.
[30] Zhu X, Wang C, Liu S, et al. Switchable dual-wavelength and passively mode-locked all-normal-dispersion Yb-doped fiber lasers[J]. IEEE Photonics Technology Letters, 2011,23(14):956-958.
[31] Mao D, Liu X, Wang L, et al. Dual-wavelength step-like pulses in an ultra-large negative-dispersion fiber laser[J].Optics Express, 2011, 19(5):3996-4001.
[32] Zhang H, Tang D, Zhao L, et al. Dual-wavelength domain wall solitons in a fiber ring laser[J]. Optics Express, 2011,19(4):3525-3530.
[33] Yun L, Han D. Evolution of dual-wavelength fiber laser from continuous wave to soliton pulses[J]. Optics Communications, 2012, 285(24):5406-5409.
[34] Zhang Z X, Xu Z W, Zhang L, et al. Tunable and switchable dual-wavelength dissipative soliton generation in an allnormal-dispersion Yb-doped fiber laser with birefringence fiber filter[J]. Optics Express, 2012, 20(24):26736-26742.
[35] Mao D, Lu H. Formation and evolution of passively modelocked fiber soliton lasers operating in a dual-wavelength regime[J]. Journal of The Optical Society of America BOptical Physics, 2012, 29(10):2819-2826.
[36] Lin H, Guo C, Ruan S, et al. Tunable and switchable dualwavelength dissipative soliton operation of a weakbirefringence all-normal-dispersion Yb-doped fiber laser[J].IEEE Photonics Journal, 2013, 5(5):1501807-1501807.
[37] Wang X, Zhu Y, Zhou P, et al. Tunable, multiwavelength Tm-doped fiber laser based on polarization rotation and four-wave-mixing effect[J]. Optics Express, 2013, 21(22):25977-25984.
[38] Yan Z, Li X, Tang Y, et al. Tunable and switchable dualwavelength Tm-doped mode-locked fiber laser by nonlinear polarization evolution[J]. Optics Express, 2015, 23(4):4369-4376.
[39] Yan Z, Tang Y, Sun B, et al. Switchable multi-wavelength Tm-doped mode-locked fiber laser[J]. Optics Letters, 2015,40(9):1916-1919.
[40] Zhang Z, Mou C, Yan Z, et al. Switchable dual-wavelength Q-switched and mode-locked fiber lasers using a large-angle tilted fiber grating[J]. Optics Express, 2015, 23(2):1353-1360.
[41] Wang S, Zhao Z, Kobayashi Y, et al. Wavelength-spacing controllable, dual-wavelength synchronously mode locked Er:fiber laser oscillator based on dual-branch nonlinear polarization rotation technique[J]. Optics Express, 2016, 24(25):28228-28238.
[42] Feehan J S, Ilday F O, Brocklesby W S, et al. Simulations and experiments showing the origin of multi-wavelength mode locking in femtosecond, Yb-fiber lasers[J]. Journal of The Optical Society of America B-Optical Physics,2016, 33(8):1668-1676.
[43] Zhang H, Tang D Y, Wu X, et al. Multi-wavelength dissipative soliton operation of an erbium-doped fiber laser[J]. Optics Express, 2009, 17(15):12692-12697.
[44] Luo Z, Luo A, Xu W, et al. Tunable and switchable multiwavelength passively mode-locked fiber laser based on SESAM and inline birefringence comb filter[J]. IEEE Photonics Journal, 2011, 3(1):64-70.
[45] Luo A P, Luo Z, Xu W C, et al. Switchable dual-wavelength passively mode-locked fiber ring laser using SESAM and cascaded fiber Bragg gratings[J]. Laser Physics, 2011, 21(2):395-398.
[46] Li J, Luo H, Wang L, et al. Mid-infrared passively switched pulsed dual wavelength Ho3+-doped fluoride fiber laser at3μm and 2μm[J]. Scientific Reports, 2015, 5(1):10770-10770.
[47] Rigaud P, Kermene V, Simos C, et al. Dual-wavelength synchronous ultrashort pulses from a mode-locked Yb-doped multicore fiber laser with spatially dispersed gain[J]. Optics Express, 2015, 23(19):25308-25315.
[48] Wu Z, Fu S, Chen C, et al. Dual-state dissipative solitons from an all-normal-dispersion erbium-doped fiber laser:continuous wavelength tuning and multi-wavelength emission[J]. Optics Letters, 2015, 40(12):2684-2687.
[49] Zhang Y, Yang C, Feng Z, et al. Dual-wavelength passively Q-switched single-frequency fiber laser[J]. Optics Express,2016, 24(14):16149-16155.
[50] Waritanant T, Major A. Discretely selectable multiwavelength operation of a semiconductor saturable absorber mirror modelocked Nd:YVO4laser[J]. Optics Letters, 2017, 42(17):3331-3334.
[51] Li J, Wang Y, Zhang E, et al. Coexistence of noise-like pulse and high repetition rate harmonic mode-locking in a dual-wavelength mode-locked Tm-doped fiber laser[J].Optics Express, 2017, 25(15):17992-17200.
[52] Zhao X, Zheng Z, Liu L, et al. Switchable, dual-wavelength passively mode-locked ultrafast fiber laser based on a singlewall carbon nanotube mode-locker and intracavity loss tuning[J]. Optics Express, 2011, 19(2):1168-1173.
[53] Zhao X, Zheng Z, Liu L, et al. Fast, long-scan-range pumpprobe measurement based on asynchronous sampling using a dual-wavelength mode-locked fiber laser[J]. Optics Express,2012, 20(23):25584-25589.
[54] Liu X, Han D, Sun Z, et al. Versatile multi-wavelength ultrafast fiber laser mode-locked by carbon nanotubes[J].Scientific Reports, 2013, 3(1):2718-2718.
[55] Chen G W, Li W L, Yang H R, et al. Switchable dualwavelength fiber laser mode-locked by carbon nanotubes[J].Journal of Modern Optics, 2015, 62(5):353-357.
[56] Jiang K, Wu Z, Fu S, et al. Switchable dual-wavelength mode-locking of thulium-doped fiber laser Based on SWNTs[J]. IEEE Photonics Technology Letters, 2016, 28(19):2019-2022.
[57] Geim A K. Graphene:status and prospects[J]. Science,2009, 324(5934):1530-1534.
[58] Zhang H. Ultrathin two-dimensional nanomaterials[J]. ACS Nano, 2015, 9(10):9451-9469.
[59] Coleman J N, Lotya M, O'Neill A, et al. Two-dimensional nanosheets produced by liquid exfoliation of layered materials[J]. Science, 2011, 331(6017):568-571.
[60] Nicolosi V, Chhowalla M, Kanatzidis M G, et al. Liquid exfoliation of layered materials[J]. Science, 2013, 340(6139):1226419.
[61] Bao Q, Zhang H, Wang Y, et al. Atomic-layer graphene as a saturable absorber for ultrafast pulsed lasers[J]. Advanced Functional Materials, 2009, 19(19):3077-3083.
[62] Bonaccorso F, Sun Z, Hasan T, et al. Graphene photonics and optoelectronics[J]. Nature Photonics, 2010, 4(9):611-622.
[63] Xia F, Wang H, Xiao D, et al. Two-dimensional material nanophotonics[J]. Nature Photonics, 2014, 8(12):899-907.
[64] Zhang H, Lu S, Zheng J, et al. Molybdenum disulfide(MoS2)as a broadband saturable absorber for ultra-fast photonics[J]. Optics Express, 2014, 22(6):7249-7260.
[65] Sobon G. Mode-locking of fiber lasers using novel twodimensional nanomaterials:graphene and topological insulators[J]. Photonics Research, 2015, 3(2):A56-A63.
[66] Yu S, Wu X, Wang Y, et al. 2D Materials for optical modulation:challenges and opportunities[J]. Advanced Materials, 2017, 29(14):1606128.
[67] Liu X, Guo Q, Qiu J. Emerging low-dimensional materialsfor nonlinear optics and ultrafast photonics[J]. Advanced Materials, 2017, 29(14):1605886.
[68] Guo B. 2D noncarbon materials-based nonlinear optical devices for ultrafast photonics[J]. Chinese Optics Letters,2018, 16(2):020004.
[69] Liu Z, Wang Y, Zhang X, et al. Nonlinear optical properties of graphene oxide in nanosecond and picosecond regimes[J]. Applied Physics Letters, 2009, 94(2):021902.
[70] Hendry E, Hale P J, Moger J, et al. Coherent nonlinear optical response of graphene[J]. Physical Review Letters,2010, 105(9):097401.
[71] Hsieh D, Qian D, Wray L, et al. A topological Dirac insulator in a quantum spin Hall phase[J]. Nature, 2008,452(7190):970.
[72] Chen Y L, Analytis J G, Chu J H, et al. Experimental realization of a three-dimensional topological insulator, Bi2Te3[J]. Science, 2009, 325(5937):178-181.
[73] Xia Y, Qian D, Hsieh D, et al. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface[J]. Nature Physics, 2009, 5(6):398.
[74] Zhang Y, He K, Chang C Z, et al. Crossover of the threedimensional topological insulator Bi2Se3to the twodimensional limit[J]. Nature Physics, 2010, 6(8):584.
[75] Moore J E. The birth of topological insulators[J]. Nature,2010, 464(7286):194.
[76] Hasan M Z, Kane C L. Colloquium:topological insulators[J]. Reviews of Modern Physics, 2010, 82(4):3045.
[77] Qi X L, Zhang S C. Topological insulators and superconductors[J]. Reviews of Modern Physics, 2011, 83(4):1057.
[78] Bernard F, Zhang H, Gorza S P, et al. Towards modelocked fiber laser using topological insulators[C]//Nonlinear Photonics. Optical Society of America, 2012:NTh1A. 5.
[79] Lu S, Zhao C, Zou Y, et al. Third order nonlinear optical property of Bi2Se3[J]. Optics Express, 2013, 21(2):2072-2082.
[80] Chen S, Zhao C, Li Y, et al. Broadband optical and microwave nonlinear response in topological insulator[J].Optical Materials Express, 2014, 4(4):587-596.
[81] Wang Q H, Kalantar-Zadeh K, Kis A, et al. Electronics and optoelectronics of two-dimensional transition metal dichalcogenides[J]. Nature Nanotechnology, 2012, 7(11):699.
[82] Wang K, Wang J, Fan J, et al. Ultrafast saturable absorption of two-dimensional MoS2nanosheets[J]. ACS Nano, 2013,7(10):9260-9267.
[83] Sun J, Gu Y J, Lei D Y, et al. Mechanistic understanding of excitation-correlated nonlinear optical properties in MoS2nanosheets and nanodots:the role of exciton resonance[J].ACS Photonics, 2016, 3(12):2434-2444.
[84] Ling X, Wang H, Huang S, et al. The renaissance of black phosphorus[J]. Proceedings of the National Academy of Sciences, 2015:201416581.
[85] Wang X, Lan S. Optical properties of black phosphorus[J].Advances in Optics and Photonics, 2016, 8(4):618-655.
[86] Dhanabalan S C, Ponraj J S, Guo Z, et al. Emerging trends in phosphorene fabrication towards next generation devices[J]. Advanced Science, 2017, 4(6):1600305.
[87] Lu S B, Miao L L, Guo Z N, et al. Broadband nonlinear optical response in multi-layer black phosphorus:an emerging infrared and mid-infrared optical material[J].Optics Express, 2015, 23(9):11183-11194.
[88] Martinez A, Sun Z. Nanotube and graphene saturable absorbers for fibre lasers[J]. Nature Photonics, 2013, 7(11):842.
[89] Luo Z, Zhou M, Weng J, et al. Graphene-based passively Q-switched dual-wavelength erbium-doped fiber laser[J].Optics Letters, 2010, 35(21):3709-3711.
[90] Luo Z, Zhou M, Wu D, et al. Graphene-induced nonlinear four-wave-mixing and its application to multiwavelength Qswitched rare-earth-doped fiber lasers[J]. Journal of Lightwave Technology, 2011, 29(18):2732-2739.
[91] Wang Z T, Chen Y, Zhao C J, et al. Switchable dualwavelength synchronously Q-switched erbium-doped fiber laser based on graphene saturable absorber[J]. IEEE Photonics Journal, 2012, 4(3):869-876.
[92] Ahmad H, Zulkifli M Z, Muhammad F D, et al. Passively Q-switched 11-channel stable brillouin erbium-doped fiber laser with graphene as the saturable absorber[J]. IEEE Photonics Journal, 2012, 4(5):2050-2056.
[93] Zhao J, Wang Y, Yan P, et al. Graphene-oxide-based Qswitched fiber laser with stable five-wavelength operation[J].Chinese Physics Letters, 2012, 29(11):114206.
[94] Lou F, Zhao R, He J, et al. Nanosecond-pulsed, dualwavelength, passively Q-switched ytterbium-doped bulk laser based on few-layer MoS2saturable absorber[J]. Photonics Research, 2015, 3(2):A25-A29.
[95] Gao Y J, Zhang B Y, Song Q, et al. Dual-wavelength passively Q-switched Nd:GYSGG laser by tungsten disulfide saturable absorber[J]. Applied Optics, 2016, 55(18):4929-4932.
[96] Zhang H, He J, Wang Z, et al. Dual-wavelength, passivelyQ-switched Tm:YAP laser with black phosphorus saturable absorber[J]. Optical Materials Express, 2016, 6(7):2328-2335.
[97] Zhao Y, Li X, Xu M, et al. Dual-wavelength synchronously Q-switched solid-state laser with multi-layered graphene as saturable absorber[J]. Optics Express, 2013, 21(3):3516-3522.
[98] Wang B, Yu H, Zhang H, et al. Topological insulator simultaneously Q-switched dual-wavelength Nd:Lu2O3laser[J]. IEEE Photonics Journal, 2014, 6(3):1-7.
[99] Lou F, Zhao R, He J, et al. Nanosecond-pulsed, dualwavelength, passively Q-switched ytterbium-doped bulk laser based on few-layer MoS2saturable absorber[J]. Photonics Research, 2015, 3(2):A25-A29.
[100] Guo J, Zhang H, Li P. Graphene Q-switched eye-safe Nd:Y3Al5O12ceramic dual-wavelength laser[J]. Applied Optics,2015, 54(22):6694-6697.
[101] Chu H, Zhao S, Li T, et al. Dual-wavelength passively Qswitched Nd, Mg:LiTaO3laser with a monolayer graphene as saturable absorber[J]. IEEE Journal of Selected Topics in Quantum Electronics, 2015, 21(1):343-347.
[102] Sun Y J, Lee C K, Xu J L, et al. Passively Q-switched triwavelength Yb3+:GdAl3(BO3)4solid-state laser with topological insulator Bi2Te3as saturable absorber[J].Photonics Research, 2015, 3(3):A97-A101.
[103] Liu J, Liu J, Guo Z, et al. Dual-wavelength Q-switched Er:SrF2laser with a black phosphorus absorber in the midinfrared region[J]. Optics Express, 2016, 24(26):30289-30295.
[104] Zhang H, He J, Wang Z, et al. Dual-wavelength, passively Qswitched Tm:YAP laser with black phosphorus saturable absorber[J]. Optical Materials Express, 2016, 6(7):2328-2335.
[105] Luo Z Q, Wang J Z, Zhou M, et al. Multiwavelength modelocked erbium-doped fiber laser based on the interaction of graphene and fiber-taper evanescent field[J]. Laser Physics Letters, 2012, 9(3):229.
[106] Lau K Y, Bakar M H A, Muhammad F D, et al. Dual-wavelength,mode-locked erbium-doped fiber laser employing a graphene/polymethyl-methacrylate saturable absorber[J]. Optics Express,2018, 26(10):12790-12800.
[107] Zhao J, Wang Y, Ruan S, et al. Three operation regimes with an L-band ultrafast fiber laser passively mode-locked by graphene oxide saturable absorber[J]. JOSA B, 2014, 31(4):716-722.
[108] Guo B, Ouyang Q, Li S, et al. Dual-wavelength soliton laser based on the graphene ternary composite[J]. Chinese Journal of Lasers, 2017, 44(7):0703012.
[109] Guo B, Yao Y, Yang Y F, et al. Topological insulator:Bi2Se3/polyvinyl alcohol film-assisted multi-wavelength ultrafast erbium-doped fiber laser[J]. Journal of Applied Physics, 2015, 117(6):063108.
[110] Guo B, Yao Y, Yang Y F, et al. Tunable multi-wavelength mode-locked fiber laser with topological insulator:Bi2Se3/PVA solution[C]//Optoelectronic Devices and Integration.Optical Society of America, 2015:OW2C. 4.
[111] Guo B, Yao Y. Tunable triple-wavelength mode-locked fiber laser with topological insulator Bi2Se3solution[J]. Optical Engineering, 2016, 55(8):081315.
[112] Guo B, Yao Y, Yan P G, et al. Dual-wavelength soliton mode-locked fiber laser with a WS2-based fiber taper[J].IEEE Photonics Technology Letters, 2016, 28(3):323-326.
[113] Guo B, Li S, Fan Y, et al. Versatile soliton emission from a WS2 mode-locked fiber laser[J]. Optics Communications,2018, 406:66-71.
[114] Zhao R, Li J, Zhang B, et al. Triwavelength synchronously mode-locked fiber laser based on few-layered black phosphorus[J]. Applied Physics Express, 2016, 9(9):092701.
[115] Yun L. Black phosphorus saturable absorber for dualwavelength polarization-locked vector soliton generation[J].Optics Express, 2017, 25(26):32380-32385.
[116] Liu M, Zhao N, Liu H, et al. Dual-wavelength harmonically mode-locked fiber laser with topological insulator saturable absorber[J]. IEEE Photonics Technology Letters, 2014, 26(10):983-986.
[117] Luo Z, Huang Y, Wang J, et al. Multiwavelength dissipative-soliton generation in Yb-fiber laser using graphene-deposited fiber-taper[J]. IEEE Photonics Technology Letters, 2012, 24(17):1539-1542.
[118] Huang S, Wang Y, Yan P, et al. Tunable and switchable multi-wavelength dissipative soliton generation in a graphene oxide mode-locked Yb-doped fiber laser[J]. Optics Express,2014, 22(10):11417-11426.
[119] Guo B, Yao Y, Yang Y F, et al. Dual-wavelength rectangular pulse erbium-doped fiber laser based on topological insulator saturable absorber[J]. Photonics Research, 2015, 3(3):94-99.
[120] Zhao N, Liu M, Liu H, et al. Dual-wavelength rectangular pulse Yb-doped fiber laser using a microfiber-based graphene saturable absorber[J]. Optics Express, 2014, 22(9):10906-10913.
[121] Gao L, Zhu T, Huang W, et al. Vector rectangular-shape laser based on reduced graphene oxide interacting with a long fiber taper[J]. Applied Optics, 2014, 53(28):6452-6456.
[122] Song Q, Wang G, Zhang B, et al. Passively Q-switched mode-locked dual-wavelength Nd:GYSGG laser using graphene oxide saturable absorber[J]. Optics Communications,2015, 347:64-67.
[123] Vengsarkar A M, Lemaire P J, Judkins J B, et al. Longperiod fiber gratings as band-rejection filters[C]//Optical Fiber Communication Conference. Optical Society of America, 1995:PD4.
[124] Intrachat K, Kutz J N. Theory and simulation of passive modelocking dynamics using a long-period fiber grating[J].IEEE Journal of Quantum Electronics, 2003, 39(12):1572-1578.
[125] Karar A S, Smy T, Steele A L. Nonlinear dynamics of a passively mode-locked fiber laser containing a long-period fiber grating[J]. IEEE Journal of Quantum Electronics,2008, 44(3):254-261.
[126] Guo B, Yang W L. Ultra-long-period grating as a novel tool for multi-wavelength ultrafast photonics[C]//AOPC 2017:Laser Components, Systems, and Applications. International Society for Optics and Photonics, 2017, 10457:104572R.
[127] Manakov S V. On the theory of two-dimensional stationary self-focusing of electromagnetic waves[J]. Soviet PhysicsJETP, 1974, 38(2):248-253.
[128] Guo B, Yao Y, Tian J J, et al. Observation of bright-dark soliton pair in a fiber laser with topological insulator[J].IEEE Photonics Technology Letters, 2015, 27(7):701-704.
[129] Guo B, Yao Y, Xiao J J, et al. Topological insulatorassisted dual-wavelength fiber laser delivering versatile pulse patterns[J]. IEEE Journal of Selected Topics in Quantum Electronics, 2016, 22(2):8-15.
[130] Li K X, Song Y R, Tian J R, et al. Analysis of boundsoliton states in a dual-wavelength mode-locked fiber laser based on Bi2Se3[J]. IEEE Photonics Journal, 2017, 9(3):1-9.
[131] Zhao R, Li G, Zhang B, et al. Multi-wavelength bright-dark pulse pair fiber laser based on rhenium disulfide[J]. Optics Express, 2018, 26(5):5819-5826.
[2] Suh M G, Yang Q F, Yang K Y, et al. Microresonator soliton dual-combspectroscopy[J]. Science, 2016, 354(6312):600-613.
[3] Li J, Yi X, Lee H, et al. Electro-optical frequency division and stablemicrowave synthesis[J]. Science, 2014, 345(6194):309-313.
[4] Agrawal G P. Nonlinear Fiber Optics[M]. Berlin:Springer,2000:195-211.
[5] Schlager J B, Kawanishi S, Saruwatari M. Dual wavelength pulse generation using mode-locked erbium-doped fibre ring laser[J]. Electronics Letters, 1991, 27(22):2072-2073.
[6] Li S, Chan K T. Electrical wavelength tunable and multiwavelength actively mode-locked fiber ring laser[J].Applied Physics Letters, 1998, 72(16):1954-1956.
[7] Zhao Y, Shu C. A fiber laser for effective generation of tunable single-and dual-wavelength mode-locked optical pulses[J]. Applied Physics Letters, 1998, 72(13):1556-1558.
[8] Bakhshi B, Andrekson P A. Dual-wavelength 10-GHz actively mode-locked erbium fiber laser[J]. IEEE Photonics Technology Letters, 1999, 11(11):1387-1389.
[9] Deparis O, Kiyan R, Salik E, et al. Round-trip time and dispersion optimization in a dual-wavelength actively modelocked Er-doped fiber laser including nonchirped fiber Bragg gratings[J]. IEEE Photonics Technology Letters, 1999, 11(10):1238-1240.
[10] Town G E, Chen L, Smith P W E. Dual-wavelength modelocked fiber laser[J]. IEEE Photonics Technology Letters,2000, 12(11):1459-1461.
[11] Pudo D, Chen L R. Actively mode-locked, quadruplewavelength fibre laser with pump-controlled wavelength switching[J]. Electronics Letters, 2003, 39(3):272-274.
[12] Lou J W, Carruthers T F, Currie M. 4×10 GHz mode-locked multiple-wavelength fiber laser[J]. IEEE Photonics Technology Letters, 2004, 16(1):51-53.
[13] Yao J, Yao J, Deng Z. Multiwavelength actively modelocked fiber ring laser with suppressed homogeneous line broadening and reduced supermodenoise[J]. Optics Express,2004, 12(19):4529-4534.
[14] Chen Z, Ma S, Dutta N K. Multiwavelength fiber ring laser based on a semiconductor and fiber gain medium[J]. Optics Express, 2009, 17(3):1234-1239.
[15] Noske D U, Guy M J, Rottwitt K, et al. Dual-wavelength operation of a passively mode-locked"figure-of-eight"ytterbium-erbium fibre soliton laser[J]. Optics Communications, 1994, 108(4-6):297-301.
[16] Yun L, Liu X, Mao D. Observation of dual-wavelength dissipative solitons in a figure-eight erbium-doped fiber laser[J]. Optics Express, 2012, 20(19):20992-20997.
[17] Ning Q Y, Wang S K, Luo A P, et al. Bright-dark pulse pair in a figure-eight dispersion-managed passively modelocked fiber laser[J]. IEEE Photonics Journal, 2012, 4(5):1647-1652.
[18] Krzempek K, Sobon G, Sotor J, et al. Fully-integrated dualwavelength all-fiber source for mode-locked square-shaped mid-IR pulse generation via DFG in PPLN[J]. Optics Express, 2015, 23(25):32080-32086.
[19] Jin X, Wang X, Wang X, et al. Tunable multiwavelength mode-locked Tm/Ho-doped fiber laser based on a nonlinear amplified loop mirror[J]. Applied Optics, 2015, 54(28):8260-8264.
[20] Shao Z, Qiao X, Rong Q, et al. Generation of dualwavelength square pulse in a figure-eight erbium-doped fiber laser with ultra-large net-anomalous dispersion[J]. Applied Optics, 2015, 54(22):6711-6716.
[21] Posada-Ramírez B, Durán-Sánchez M,魣lvarez-Tamayo R I,et al. Study of a Hi-Bi FOLM for tunable and dualwavelength operation of a thulium-doped fiber laser[J].Optics Express, 2017, 25(3):2560-2568.
[22] Matsas V J, Newson T P, Richardson D J, et al. Selfstarting passively mode-locked fibre ring soliton laser exploiting nonlinear polarisation rotation[J]. Electronics Letters, 1992,28(15):1391-1393.
[23] Gong Y D, Tian X L, Tang M, et al. Generation of dual wavelength ultrashort pulse outputs from a passive mode locked fiber ring laser[J]. Optics Communications, 2006,265(2):628-631.
[24] Zhang Z, Zhan L, Xu K, et al. Multiwavelength fiber laser with fine adjustment, based on nonlinear polarization rotation and birefringence fiber filter[J]. Optics Letters, 2008, 33(4):324-326.
[25] Chen Z, Sun H, Ma S, et al. Dual-wavelength mode-locked erbium-doped fiber ring laser using highly nonlinear fiber[J]. IEEE Photonics Technology Letters, 2008, 20(24):2066-2068.
[26] Chen W C, Luo Z C, Xu W C. The interaction of dual wavelength solitons in fiber laser[J]. Laser Physics Letters,2009, 6(11):816.
[27] Luo Z C, Luo A P, Xu W C, et al. Modulation instability induced by cross-phase modulation in a dual-wavelength dispersion-managed soliton fiber ring laser[J]. Applied Physics B, 2010, 100(4):811-820.
[28] Luo Z C, Luo A P, Xu W C, et al. Tunable multiwavelength passively mode-locked fiber ring laser using intracavity birefringence-induced comb filter[J]. IEEE Photonics Journal, 2010, 2(4):571-577.
[29] Luo A P, Luo Z C, Xu W C, et al. Tunable and switchable dual-wavelength passively mode-locked Bi-doped all-fiber ring laser based on nonlinear polarization rotation[J]. Laser Physics Letters, 2011, 8(8):601-605.
[30] Zhu X, Wang C, Liu S, et al. Switchable dual-wavelength and passively mode-locked all-normal-dispersion Yb-doped fiber lasers[J]. IEEE Photonics Technology Letters, 2011,23(14):956-958.
[31] Mao D, Liu X, Wang L, et al. Dual-wavelength step-like pulses in an ultra-large negative-dispersion fiber laser[J].Optics Express, 2011, 19(5):3996-4001.
[32] Zhang H, Tang D, Zhao L, et al. Dual-wavelength domain wall solitons in a fiber ring laser[J]. Optics Express, 2011,19(4):3525-3530.
[33] Yun L, Han D. Evolution of dual-wavelength fiber laser from continuous wave to soliton pulses[J]. Optics Communications, 2012, 285(24):5406-5409.
[34] Zhang Z X, Xu Z W, Zhang L, et al. Tunable and switchable dual-wavelength dissipative soliton generation in an allnormal-dispersion Yb-doped fiber laser with birefringence fiber filter[J]. Optics Express, 2012, 20(24):26736-26742.
[35] Mao D, Lu H. Formation and evolution of passively modelocked fiber soliton lasers operating in a dual-wavelength regime[J]. Journal of The Optical Society of America BOptical Physics, 2012, 29(10):2819-2826.
[36] Lin H, Guo C, Ruan S, et al. Tunable and switchable dualwavelength dissipative soliton operation of a weakbirefringence all-normal-dispersion Yb-doped fiber laser[J].IEEE Photonics Journal, 2013, 5(5):1501807-1501807.
[37] Wang X, Zhu Y, Zhou P, et al. Tunable, multiwavelength Tm-doped fiber laser based on polarization rotation and four-wave-mixing effect[J]. Optics Express, 2013, 21(22):25977-25984.
[38] Yan Z, Li X, Tang Y, et al. Tunable and switchable dualwavelength Tm-doped mode-locked fiber laser by nonlinear polarization evolution[J]. Optics Express, 2015, 23(4):4369-4376.
[39] Yan Z, Tang Y, Sun B, et al. Switchable multi-wavelength Tm-doped mode-locked fiber laser[J]. Optics Letters, 2015,40(9):1916-1919.
[40] Zhang Z, Mou C, Yan Z, et al. Switchable dual-wavelength Q-switched and mode-locked fiber lasers using a large-angle tilted fiber grating[J]. Optics Express, 2015, 23(2):1353-1360.
[41] Wang S, Zhao Z, Kobayashi Y, et al. Wavelength-spacing controllable, dual-wavelength synchronously mode locked Er:fiber laser oscillator based on dual-branch nonlinear polarization rotation technique[J]. Optics Express, 2016, 24(25):28228-28238.
[42] Feehan J S, Ilday F O, Brocklesby W S, et al. Simulations and experiments showing the origin of multi-wavelength mode locking in femtosecond, Yb-fiber lasers[J]. Journal of The Optical Society of America B-Optical Physics,2016, 33(8):1668-1676.
[43] Zhang H, Tang D Y, Wu X, et al. Multi-wavelength dissipative soliton operation of an erbium-doped fiber laser[J]. Optics Express, 2009, 17(15):12692-12697.
[44] Luo Z, Luo A, Xu W, et al. Tunable and switchable multiwavelength passively mode-locked fiber laser based on SESAM and inline birefringence comb filter[J]. IEEE Photonics Journal, 2011, 3(1):64-70.
[45] Luo A P, Luo Z, Xu W C, et al. Switchable dual-wavelength passively mode-locked fiber ring laser using SESAM and cascaded fiber Bragg gratings[J]. Laser Physics, 2011, 21(2):395-398.
[46] Li J, Luo H, Wang L, et al. Mid-infrared passively switched pulsed dual wavelength Ho3+-doped fluoride fiber laser at3μm and 2μm[J]. Scientific Reports, 2015, 5(1):10770-10770.
[47] Rigaud P, Kermene V, Simos C, et al. Dual-wavelength synchronous ultrashort pulses from a mode-locked Yb-doped multicore fiber laser with spatially dispersed gain[J]. Optics Express, 2015, 23(19):25308-25315.
[48] Wu Z, Fu S, Chen C, et al. Dual-state dissipative solitons from an all-normal-dispersion erbium-doped fiber laser:continuous wavelength tuning and multi-wavelength emission[J]. Optics Letters, 2015, 40(12):2684-2687.
[49] Zhang Y, Yang C, Feng Z, et al. Dual-wavelength passively Q-switched single-frequency fiber laser[J]. Optics Express,2016, 24(14):16149-16155.
[50] Waritanant T, Major A. Discretely selectable multiwavelength operation of a semiconductor saturable absorber mirror modelocked Nd:YVO4laser[J]. Optics Letters, 2017, 42(17):3331-3334.
[51] Li J, Wang Y, Zhang E, et al. Coexistence of noise-like pulse and high repetition rate harmonic mode-locking in a dual-wavelength mode-locked Tm-doped fiber laser[J].Optics Express, 2017, 25(15):17992-17200.
[52] Zhao X, Zheng Z, Liu L, et al. Switchable, dual-wavelength passively mode-locked ultrafast fiber laser based on a singlewall carbon nanotube mode-locker and intracavity loss tuning[J]. Optics Express, 2011, 19(2):1168-1173.
[53] Zhao X, Zheng Z, Liu L, et al. Fast, long-scan-range pumpprobe measurement based on asynchronous sampling using a dual-wavelength mode-locked fiber laser[J]. Optics Express,2012, 20(23):25584-25589.
[54] Liu X, Han D, Sun Z, et al. Versatile multi-wavelength ultrafast fiber laser mode-locked by carbon nanotubes[J].Scientific Reports, 2013, 3(1):2718-2718.
[55] Chen G W, Li W L, Yang H R, et al. Switchable dualwavelength fiber laser mode-locked by carbon nanotubes[J].Journal of Modern Optics, 2015, 62(5):353-357.
[56] Jiang K, Wu Z, Fu S, et al. Switchable dual-wavelength mode-locking of thulium-doped fiber laser Based on SWNTs[J]. IEEE Photonics Technology Letters, 2016, 28(19):2019-2022.
[57] Geim A K. Graphene:status and prospects[J]. Science,2009, 324(5934):1530-1534.
[58] Zhang H. Ultrathin two-dimensional nanomaterials[J]. ACS Nano, 2015, 9(10):9451-9469.
[59] Coleman J N, Lotya M, O'Neill A, et al. Two-dimensional nanosheets produced by liquid exfoliation of layered materials[J]. Science, 2011, 331(6017):568-571.
[60] Nicolosi V, Chhowalla M, Kanatzidis M G, et al. Liquid exfoliation of layered materials[J]. Science, 2013, 340(6139):1226419.
[61] Bao Q, Zhang H, Wang Y, et al. Atomic-layer graphene as a saturable absorber for ultrafast pulsed lasers[J]. Advanced Functional Materials, 2009, 19(19):3077-3083.
[62] Bonaccorso F, Sun Z, Hasan T, et al. Graphene photonics and optoelectronics[J]. Nature Photonics, 2010, 4(9):611-622.
[63] Xia F, Wang H, Xiao D, et al. Two-dimensional material nanophotonics[J]. Nature Photonics, 2014, 8(12):899-907.
[64] Zhang H, Lu S, Zheng J, et al. Molybdenum disulfide(MoS2)as a broadband saturable absorber for ultra-fast photonics[J]. Optics Express, 2014, 22(6):7249-7260.
[65] Sobon G. Mode-locking of fiber lasers using novel twodimensional nanomaterials:graphene and topological insulators[J]. Photonics Research, 2015, 3(2):A56-A63.
[66] Yu S, Wu X, Wang Y, et al. 2D Materials for optical modulation:challenges and opportunities[J]. Advanced Materials, 2017, 29(14):1606128.
[67] Liu X, Guo Q, Qiu J. Emerging low-dimensional materialsfor nonlinear optics and ultrafast photonics[J]. Advanced Materials, 2017, 29(14):1605886.
[68] Guo B. 2D noncarbon materials-based nonlinear optical devices for ultrafast photonics[J]. Chinese Optics Letters,2018, 16(2):020004.
[69] Liu Z, Wang Y, Zhang X, et al. Nonlinear optical properties of graphene oxide in nanosecond and picosecond regimes[J]. Applied Physics Letters, 2009, 94(2):021902.
[70] Hendry E, Hale P J, Moger J, et al. Coherent nonlinear optical response of graphene[J]. Physical Review Letters,2010, 105(9):097401.
[71] Hsieh D, Qian D, Wray L, et al. A topological Dirac insulator in a quantum spin Hall phase[J]. Nature, 2008,452(7190):970.
[72] Chen Y L, Analytis J G, Chu J H, et al. Experimental realization of a three-dimensional topological insulator, Bi2Te3[J]. Science, 2009, 325(5937):178-181.
[73] Xia Y, Qian D, Hsieh D, et al. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface[J]. Nature Physics, 2009, 5(6):398.
[74] Zhang Y, He K, Chang C Z, et al. Crossover of the threedimensional topological insulator Bi2Se3to the twodimensional limit[J]. Nature Physics, 2010, 6(8):584.
[75] Moore J E. The birth of topological insulators[J]. Nature,2010, 464(7286):194.
[76] Hasan M Z, Kane C L. Colloquium:topological insulators[J]. Reviews of Modern Physics, 2010, 82(4):3045.
[77] Qi X L, Zhang S C. Topological insulators and superconductors[J]. Reviews of Modern Physics, 2011, 83(4):1057.
[78] Bernard F, Zhang H, Gorza S P, et al. Towards modelocked fiber laser using topological insulators[C]//Nonlinear Photonics. Optical Society of America, 2012:NTh1A. 5.
[79] Lu S, Zhao C, Zou Y, et al. Third order nonlinear optical property of Bi2Se3[J]. Optics Express, 2013, 21(2):2072-2082.
[80] Chen S, Zhao C, Li Y, et al. Broadband optical and microwave nonlinear response in topological insulator[J].Optical Materials Express, 2014, 4(4):587-596.
[81] Wang Q H, Kalantar-Zadeh K, Kis A, et al. Electronics and optoelectronics of two-dimensional transition metal dichalcogenides[J]. Nature Nanotechnology, 2012, 7(11):699.
[82] Wang K, Wang J, Fan J, et al. Ultrafast saturable absorption of two-dimensional MoS2nanosheets[J]. ACS Nano, 2013,7(10):9260-9267.
[83] Sun J, Gu Y J, Lei D Y, et al. Mechanistic understanding of excitation-correlated nonlinear optical properties in MoS2nanosheets and nanodots:the role of exciton resonance[J].ACS Photonics, 2016, 3(12):2434-2444.
[84] Ling X, Wang H, Huang S, et al. The renaissance of black phosphorus[J]. Proceedings of the National Academy of Sciences, 2015:201416581.
[85] Wang X, Lan S. Optical properties of black phosphorus[J].Advances in Optics and Photonics, 2016, 8(4):618-655.
[86] Dhanabalan S C, Ponraj J S, Guo Z, et al. Emerging trends in phosphorene fabrication towards next generation devices[J]. Advanced Science, 2017, 4(6):1600305.
[87] Lu S B, Miao L L, Guo Z N, et al. Broadband nonlinear optical response in multi-layer black phosphorus:an emerging infrared and mid-infrared optical material[J].Optics Express, 2015, 23(9):11183-11194.
[88] Martinez A, Sun Z. Nanotube and graphene saturable absorbers for fibre lasers[J]. Nature Photonics, 2013, 7(11):842.
[89] Luo Z, Zhou M, Weng J, et al. Graphene-based passively Q-switched dual-wavelength erbium-doped fiber laser[J].Optics Letters, 2010, 35(21):3709-3711.
[90] Luo Z, Zhou M, Wu D, et al. Graphene-induced nonlinear four-wave-mixing and its application to multiwavelength Qswitched rare-earth-doped fiber lasers[J]. Journal of Lightwave Technology, 2011, 29(18):2732-2739.
[91] Wang Z T, Chen Y, Zhao C J, et al. Switchable dualwavelength synchronously Q-switched erbium-doped fiber laser based on graphene saturable absorber[J]. IEEE Photonics Journal, 2012, 4(3):869-876.
[92] Ahmad H, Zulkifli M Z, Muhammad F D, et al. Passively Q-switched 11-channel stable brillouin erbium-doped fiber laser with graphene as the saturable absorber[J]. IEEE Photonics Journal, 2012, 4(5):2050-2056.
[93] Zhao J, Wang Y, Yan P, et al. Graphene-oxide-based Qswitched fiber laser with stable five-wavelength operation[J].Chinese Physics Letters, 2012, 29(11):114206.
[94] Lou F, Zhao R, He J, et al. Nanosecond-pulsed, dualwavelength, passively Q-switched ytterbium-doped bulk laser based on few-layer MoS2saturable absorber[J]. Photonics Research, 2015, 3(2):A25-A29.
[95] Gao Y J, Zhang B Y, Song Q, et al. Dual-wavelength passively Q-switched Nd:GYSGG laser by tungsten disulfide saturable absorber[J]. Applied Optics, 2016, 55(18):4929-4932.
[96] Zhang H, He J, Wang Z, et al. Dual-wavelength, passivelyQ-switched Tm:YAP laser with black phosphorus saturable absorber[J]. Optical Materials Express, 2016, 6(7):2328-2335.
[97] Zhao Y, Li X, Xu M, et al. Dual-wavelength synchronously Q-switched solid-state laser with multi-layered graphene as saturable absorber[J]. Optics Express, 2013, 21(3):3516-3522.
[98] Wang B, Yu H, Zhang H, et al. Topological insulator simultaneously Q-switched dual-wavelength Nd:Lu2O3laser[J]. IEEE Photonics Journal, 2014, 6(3):1-7.
[99] Lou F, Zhao R, He J, et al. Nanosecond-pulsed, dualwavelength, passively Q-switched ytterbium-doped bulk laser based on few-layer MoS2saturable absorber[J]. Photonics Research, 2015, 3(2):A25-A29.
[100] Guo J, Zhang H, Li P. Graphene Q-switched eye-safe Nd:Y3Al5O12ceramic dual-wavelength laser[J]. Applied Optics,2015, 54(22):6694-6697.
[101] Chu H, Zhao S, Li T, et al. Dual-wavelength passively Qswitched Nd, Mg:LiTaO3laser with a monolayer graphene as saturable absorber[J]. IEEE Journal of Selected Topics in Quantum Electronics, 2015, 21(1):343-347.
[102] Sun Y J, Lee C K, Xu J L, et al. Passively Q-switched triwavelength Yb3+:GdAl3(BO3)4solid-state laser with topological insulator Bi2Te3as saturable absorber[J].Photonics Research, 2015, 3(3):A97-A101.
[103] Liu J, Liu J, Guo Z, et al. Dual-wavelength Q-switched Er:SrF2laser with a black phosphorus absorber in the midinfrared region[J]. Optics Express, 2016, 24(26):30289-30295.
[104] Zhang H, He J, Wang Z, et al. Dual-wavelength, passively Qswitched Tm:YAP laser with black phosphorus saturable absorber[J]. Optical Materials Express, 2016, 6(7):2328-2335.
[105] Luo Z Q, Wang J Z, Zhou M, et al. Multiwavelength modelocked erbium-doped fiber laser based on the interaction of graphene and fiber-taper evanescent field[J]. Laser Physics Letters, 2012, 9(3):229.
[106] Lau K Y, Bakar M H A, Muhammad F D, et al. Dual-wavelength,mode-locked erbium-doped fiber laser employing a graphene/polymethyl-methacrylate saturable absorber[J]. Optics Express,2018, 26(10):12790-12800.
[107] Zhao J, Wang Y, Ruan S, et al. Three operation regimes with an L-band ultrafast fiber laser passively mode-locked by graphene oxide saturable absorber[J]. JOSA B, 2014, 31(4):716-722.
[108] Guo B, Ouyang Q, Li S, et al. Dual-wavelength soliton laser based on the graphene ternary composite[J]. Chinese Journal of Lasers, 2017, 44(7):0703012.
[109] Guo B, Yao Y, Yang Y F, et al. Topological insulator:Bi2Se3/polyvinyl alcohol film-assisted multi-wavelength ultrafast erbium-doped fiber laser[J]. Journal of Applied Physics, 2015, 117(6):063108.
[110] Guo B, Yao Y, Yang Y F, et al. Tunable multi-wavelength mode-locked fiber laser with topological insulator:Bi2Se3/PVA solution[C]//Optoelectronic Devices and Integration.Optical Society of America, 2015:OW2C. 4.
[111] Guo B, Yao Y. Tunable triple-wavelength mode-locked fiber laser with topological insulator Bi2Se3solution[J]. Optical Engineering, 2016, 55(8):081315.
[112] Guo B, Yao Y, Yan P G, et al. Dual-wavelength soliton mode-locked fiber laser with a WS2-based fiber taper[J].IEEE Photonics Technology Letters, 2016, 28(3):323-326.
[113] Guo B, Li S, Fan Y, et al. Versatile soliton emission from a WS2 mode-locked fiber laser[J]. Optics Communications,2018, 406:66-71.
[114] Zhao R, Li J, Zhang B, et al. Triwavelength synchronously mode-locked fiber laser based on few-layered black phosphorus[J]. Applied Physics Express, 2016, 9(9):092701.
[115] Yun L. Black phosphorus saturable absorber for dualwavelength polarization-locked vector soliton generation[J].Optics Express, 2017, 25(26):32380-32385.
[116] Liu M, Zhao N, Liu H, et al. Dual-wavelength harmonically mode-locked fiber laser with topological insulator saturable absorber[J]. IEEE Photonics Technology Letters, 2014, 26(10):983-986.
[117] Luo Z, Huang Y, Wang J, et al. Multiwavelength dissipative-soliton generation in Yb-fiber laser using graphene-deposited fiber-taper[J]. IEEE Photonics Technology Letters, 2012, 24(17):1539-1542.
[118] Huang S, Wang Y, Yan P, et al. Tunable and switchable multi-wavelength dissipative soliton generation in a graphene oxide mode-locked Yb-doped fiber laser[J]. Optics Express,2014, 22(10):11417-11426.
[119] Guo B, Yao Y, Yang Y F, et al. Dual-wavelength rectangular pulse erbium-doped fiber laser based on topological insulator saturable absorber[J]. Photonics Research, 2015, 3(3):94-99.
[120] Zhao N, Liu M, Liu H, et al. Dual-wavelength rectangular pulse Yb-doped fiber laser using a microfiber-based graphene saturable absorber[J]. Optics Express, 2014, 22(9):10906-10913.
[121] Gao L, Zhu T, Huang W, et al. Vector rectangular-shape laser based on reduced graphene oxide interacting with a long fiber taper[J]. Applied Optics, 2014, 53(28):6452-6456.
[122] Song Q, Wang G, Zhang B, et al. Passively Q-switched mode-locked dual-wavelength Nd:GYSGG laser using graphene oxide saturable absorber[J]. Optics Communications,2015, 347:64-67.
[123] Vengsarkar A M, Lemaire P J, Judkins J B, et al. Longperiod fiber gratings as band-rejection filters[C]//Optical Fiber Communication Conference. Optical Society of America, 1995:PD4.
[124] Intrachat K, Kutz J N. Theory and simulation of passive modelocking dynamics using a long-period fiber grating[J].IEEE Journal of Quantum Electronics, 2003, 39(12):1572-1578.
[125] Karar A S, Smy T, Steele A L. Nonlinear dynamics of a passively mode-locked fiber laser containing a long-period fiber grating[J]. IEEE Journal of Quantum Electronics,2008, 44(3):254-261.
[126] Guo B, Yang W L. Ultra-long-period grating as a novel tool for multi-wavelength ultrafast photonics[C]//AOPC 2017:Laser Components, Systems, and Applications. International Society for Optics and Photonics, 2017, 10457:104572R.
[127] Manakov S V. On the theory of two-dimensional stationary self-focusing of electromagnetic waves[J]. Soviet PhysicsJETP, 1974, 38(2):248-253.
[128] Guo B, Yao Y, Tian J J, et al. Observation of bright-dark soliton pair in a fiber laser with topological insulator[J].IEEE Photonics Technology Letters, 2015, 27(7):701-704.
[129] Guo B, Yao Y, Xiao J J, et al. Topological insulatorassisted dual-wavelength fiber laser delivering versatile pulse patterns[J]. IEEE Journal of Selected Topics in Quantum Electronics, 2016, 22(2):8-15.
[130] Li K X, Song Y R, Tian J R, et al. Analysis of boundsoliton states in a dual-wavelength mode-locked fiber laser based on Bi2Se3[J]. IEEE Photonics Journal, 2017, 9(3):1-9.
[131] Zhao R, Li G, Zhang B, et al. Multi-wavelength bright-dark pulse pair fiber laser based on rhenium disulfide[J]. Optics Express, 2018, 26(5):5819-5826.