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High-Power Raman Soliton Generation at 1.7 μm in All-Fiber Polarization-Maintaining Erbium-Doped Amplifier
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作者 徐子鹏 王萱 +2 位作者 姚传飞 杨林京 李平雪 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第5期35-39,共5页
An all-fiber polarization maintaining high-power laser system operating at 1.7 μm based on the Ramaninduced soliton self-frequency shifting effect is demonstrated. The entirely fiberized system is built by erbiumdope... An all-fiber polarization maintaining high-power laser system operating at 1.7 μm based on the Ramaninduced soliton self-frequency shifting effect is demonstrated. The entirely fiberized system is built by erbiumdoped oscillator and two-stage amplifiers with polarization maintaining commercial silica fibers and devices, which can provide robust and stable soliton generation. High-power soliton laser with the average power of 0.28 W,the repetition rate of 42.7 MHz, and pulse duration of 515 fs is generated directly from the main amplifier.Our experiment provides a feasible method for high-power all-fiber polarization maintaining femtosecond laser generation working at 1.7 μm. 展开更多
关键词 polarization fiber amplifiER
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Impact of amplified spontaneous emission noise on the SRS threshold of high-power fiber amplifiers
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作者 刘伟 任帅 +1 位作者 马鹏飞 周朴 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第3期234-238,共5页
Impact of amplified spontaneous emission(ASE)noise on the stimulated Raman scattering(SRS)threshold of highpower fiber amplifiers is demonstrated numerically through a spectral evolution approach.The simulation result... Impact of amplified spontaneous emission(ASE)noise on the stimulated Raman scattering(SRS)threshold of highpower fiber amplifiers is demonstrated numerically through a spectral evolution approach.The simulation results confirm that ASE noise in the Raman wavelength band could reduce the SRS threshold of high-power fiber amplifiers significantly.As for ASE noise originated the main amplifier,it becomes stronger and reduces the SRS threshold at shorter operation wavelength below 1052 nm.As for ASE noise originated from the seed laser,it reduces the SRS threshold at different operation wavelength under the condition that the Raman ratio is over-90 dB in the seed laser.The theoretical method and results in this work could provide a well reference to extend the operation wavelength of high-power fiber lasers. 展开更多
关键词 high-power fiber amplifiers amplified spontaneous emission stimulated Raman scattering
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Thulium-Doped Fiber Amplifier for Blue Light Signal Amplification
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作者 Muhammad Hanif Ahmed Khan Khushik Chun Jiang 《China Communications》 SCIE CSCD 2019年第5期181-188,共8页
Fluoride-based thulium-doped visible light fiber amplifier(TmVLFA), which can be used to amplify the blue light signal for a visible light communication(VLC) system,is theoretically demonstrated for the first time acc... Fluoride-based thulium-doped visible light fiber amplifier(TmVLFA), which can be used to amplify the blue light signal for a visible light communication(VLC) system,is theoretically demonstrated for the first time according to the best of our knowledge. The transition rate equations and power propagation equations are solved to predict the dependence of the gain and noise figure on fiber parameters. The numerical results show that with the pump wavelength 1150 nm and pump power 800 mW, 2.75 m long thulium-doped fiber can amplify blue light(480 nm) signal up to 33.3 dB, and the noise figure is in the range from 3.0 to 3.5 dB. The model and numerical results encourage the use of fiber amplifier in VLC system for blue light amplification to extend the range of VLC. 展开更多
关键词 Tm-doped VISIBLE LIGHT fiber amplifiER VISIBLE LIGHT communication fiber amplifiER GAIN noise FIGURE
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High Power Passive Phase Locking of Four Yb-Doped Fiber Amplifiers by an All-Optical Feedback Loop 被引量:6
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作者 XUE Yu-Hao HE Bing +7 位作者 ZHOU Jun LI Zhen FAN Yuan-Yuan QI Yun-Feng LIU Chi YUAN Zhi-Jun ZHANG Hai-Bo LOU Qi-Hong 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第5期147-150,共4页
We report the passive phase locking of four high power Yb-doped fiber amplifiers with ring cavity.The interference patterns at different output power are observed and the Strehl ratios are measured.The maximum coheren... We report the passive phase locking of four high power Yb-doped fiber amplifiers with ring cavity.The interference patterns at different output power are observed and the Strehl ratios are measured.The maximum coherent output power of the fiber array is up to 1062 W by multi-stage amplification.The stable beam profiles of various phase relationships are observed by controlling the position of the feedback fiber,in good agreement with the calculated results.By using master oscillator power-amplifier(MOPA)architecture and broadband operation of passively phased systems,higher power scaling with high beam quality appears to be feasible. 展开更多
关键词 fiber PASSIVE amplifiER
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Generation and evolution of multiple operation states in passively mode-locked thulium-doped fiber laser by using a graphene-covered-microfiber 被引量:3
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作者 Xiao-Fa Wang Jun-Hong Zhang +1 位作者 Xlao-Llng Peng Xue-Feng Mao 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第8期301-307,共7页
Using graphene-covered-microfiber (GCM) as a saturable absorber, the generation and evolution of multiple operation states are proposed and demonstrated in passively mode-locked thulium-doped fiber laser. The microf... Using graphene-covered-microfiber (GCM) as a saturable absorber, the generation and evolution of multiple operation states are proposed and demonstrated in passively mode-locked thulium-doped fiber laser. The microfiber was fabricated using the flame brushing method to an interaction length of - 1.2 cm with a waist diameter of -10 μm. Graphene layers were grown on copper foils by chemical vapor deposition and transferred onto the polydimethylsiloxane (PDMS) to form a PDMS/graphene film, which allowed light-graphene interaction via evanescent field. With the increase of the pump power from 1.25 W to 2.15 W, five different lasing regimes, including continuous-wave, conventional soliton mode-locking, multi- soliton mode-locking, a period of transition, and noise-like mode-locking, were achieved in a fiber ring cavity. To the best of our knowledge, it is the first report of the generation and evolution of multiple operation states by covering graphene on the microfiber in the 2-μ.m region. The results demonstrate that GCM can be a promising method for fabricating all fiber SA, and the switchable operation states can provide more portability in complex application domain. 展开更多
关键词 fiber lasers mode-locked thulium-doped fiber graphene MICROfiber
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A theoretical and experimental investigation of an in-band pumped gain-switched thulium-doped fiber laser 被引量:2
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作者 周仁来 鞠有伦 +2 位作者 赵杰 杨超 王月珠 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第6期389-394,共6页
In this paper, the theoretical rate equation model of an in-band pumped gain-switched thulium-doped fiber (TDF) laser is investigated. The analytical formulations of pump energy threshold, peak power extraction effi... In this paper, the theoretical rate equation model of an in-band pumped gain-switched thulium-doped fiber (TDF) laser is investigated. The analytical formulations of pump energy threshold, peak power extraction efficiency, and pulse extraction efficiency are derived through analyzing the interaction process between the pump pulse and the laser pulse. They are useful for understanding, designing, and optimizing the in-band pumped TDF lasers in a 1.9 μm-2.1 μm wavelength region. The experiment with an all-fiber gain-switched TDF laser pumped by a 1.558-μm pulse amplifier is conducted, and our experimental results show good agreement with theoretical analysis. 展开更多
关键词 pulse fiber laser gain-switched laser thulium-doped fiber (TDF) laser rate equation model lasertheory
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A Novel and Fast Model of Erbium-doped Fiber Amplifiers 被引量:4
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作者 ZHUZhi-peng JIANGFeng-xian 《Semiconductor Photonics and Technology》 CAS 2000年第1期1-7,共7页
A novel and fast model of erbium-doped fiber amplifiers (EDFAs) is presented. By calculating a typical EDFA, numerical results are compared with the results obtained by spectral-solved method. The results of compariso... A novel and fast model of erbium-doped fiber amplifiers (EDFAs) is presented. By calculating a typical EDFA, numerical results are compared with the results obtained by spectral-solved method. The results of comparison show that such a model can improve the computational speed and preserve the precision. Some characteristics of the EDFA are then analyzed using this model. The results are consistent with those of the experiments. 展开更多
关键词 Erbium-doped fiber amplifier Rate equation Optical communications
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Performance Enhancement of Praseodymium Doped Fiber Amplifiers 被引量:1
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作者 Abdullah G.Alharbi Jawad Mirza +1 位作者 Mehak Raza Salman Ghafoor 《Computers, Materials & Continua》 SCIE EI 2022年第12期5411-5422,共12页
In this paper,we report a simulation study on the performance enhancement of Praseodymium doped silica fiber amplifiers(PDFAs)in O-band(1270-1350 nm)in terms of small signal gain,power conversion efficiency(PCE),and o... In this paper,we report a simulation study on the performance enhancement of Praseodymium doped silica fiber amplifiers(PDFAs)in O-band(1270-1350 nm)in terms of small signal gain,power conversion efficiency(PCE),and output optical power by employing bidirectional pumping.The PDFA performance is examined by optimizing the length of Praseodymium doped silica fiber(PDF),its mode-field diameter(MFD)and the concentration of Pr^(3+).A small-signal peak gain of 56.4 dB,power conversion efficiency(PCE)of 47%,and output optical power of around 1.6 W(32 dBm)is observed at optimized parameters for input signal wavelength of 1310 nm.Minimum noise figure(NF)of 4.1 dB is observed at input signal wavelength of 1310 nm.Moreover,the effect of varying the pump wavelength and pump power on output optical power of the amplifier and amplified spontaneous emission(ASE)noise is also investigated,respectively.Finally,the impact of ion-ion interaction(up-conversion effect)on small-signal gain of the amplifier is also studied by considering different values of up-conversion coefficient. 展开更多
关键词 Praseodymium-doped fiber doped fiber amplifiers optical amplification mode field diameter noise figure
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Amplified Spontaneous Emission in Single Frequency Double-Clad Fiber Power Amplifiers
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作者 杨苏辉 孙鑫鹏 +2 位作者 杨春香 赵长明 李卓 《Journal of Beijing Institute of Technology》 EI CAS 2008年第2期198-201,共4页
Amplified spontaneous emission (ASE) in diode laser pumped double-clad fiber power amplifiers is studied experimentally, The dependences of ASE on fiber length and cross section of active core are discussed and the ... Amplified spontaneous emission (ASE) in diode laser pumped double-clad fiber power amplifiers is studied experimentally, The dependences of ASE on fiber length and cross section of active core are discussed and the variations of ASE power as the function of pumping and signal power are investigated. There are indications that long fibers with large mode area need stronger input signals to suppress ASE. It is shown that a 150 mW input signal can suppress the ASE by 40 dB in a 4 m large mode area fiber, while to efficiently suppress the ASE in a 10 m fiber, stronger input signal is needed. 12.5 W and 16.1 W single frequency CW output power are obtained from 4 m fiber and 10 m fiber respectively. No stimulated Brillouin scattering (SBS) was observed 展开更多
关键词 fiber laser double cladding fiber single frequency power amplifier
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Analysis of gain distribution in cladding-pumped thulium-doped fiber laser and optical feedback inhibition problem in fiber-bulk laser system
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作者 吉恩才 柳强 +1 位作者 胡震岳 巩马理 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期238-247,共10页
The steady-state gain distribution in cladding pumped thulium-doped fiber laser(TDFL) is analytically and numerically solved based on the rate equations including loss coefficients and cross relaxation effect. With ... The steady-state gain distribution in cladding pumped thulium-doped fiber laser(TDFL) is analytically and numerically solved based on the rate equations including loss coefficients and cross relaxation effect. With the gain curve, a problem, which is named optical feedback inhibition(OFI) and always occurs in tandem TDFL-Ho:YAG laser system, is analyzed quantitatively. The actual characteristics of output spectra and power basically prove the conclusion of theoretical analysis. Then a simple mirror-deflected L-shaped cavity is employed to restrain the external feedback and simplify the structure of fiber-bulk Ho:YAG laser. Finally, 25 W of 2097-nm laser power and 51.2% of optical-to-optical conversion efficiency are obtained, and the beam quality factor is less than 1.43 obtained by knife-edge method. 展开更多
关键词 thulium-doped fiber laser gain distribution optical feedback inhibition Ho:YAG laser
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Theoretical Analysis of Rayleigh Backscattering Noise in Fiber Raman Amplifiers
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作者 SHENG Zhao-Xia 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期908-910,共3页
In this paper, a new theoretical model for Rayleigh backscattering (RB) analysis of fiber Raman amplifiers is proposed. The model includes all the interactions among the pumps, signals, and all orders of RB. The resul... In this paper, a new theoretical model for Rayleigh backscattering (RB) analysis of fiber Raman amplifiers is proposed. The model includes all the interactions among the pumps, signals, and all orders of RB. The results show that the higher order RB has a negligible influence on the performance of the amplifier. The co-propagating and counterpropagating RB power of the signal grow quadratically with the net-gain of the amplifier. The signal to double Rayleigh backscattering noise ratio (OSNRDRB ) of backward-pumped FRAs is better than that of the forward-pumped ones at high net-gain level (> 13 dB), while at low net-gain level the OSNRDrb of the forward-pumped FRAs is slightly better than that of the backward-pumped ones. 展开更多
关键词 fiber Raman amplifier Rayleigh scattering
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Bidirectional Erbium Doped Fiber Amplifiers
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作者 Zhong, C. Peixuan, J. +1 位作者 Ling, L. Peida, Y. 《High Technology Letters》 EI CAS 1995年第1期66-70,共5页
Bidirectional EDFAs(Bi-EDFAs)featuring bidirectional signal input are theoreticallystudied.Gain and noise performances of Bi-EDFAs are analysed numerically and comparedwith that of other optical amplifiers.Application... Bidirectional EDFAs(Bi-EDFAs)featuring bidirectional signal input are theoreticallystudied.Gain and noise performances of Bi-EDFAs are analysed numerically and comparedwith that of other optical amplifiers.Applications of Bi-EDFAs in fiber networks and otherfields are considered. 展开更多
关键词 Erbium doped fiber amplifiers ASE Bidirectional optical amplifiers
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Recent Advances in New Band Rare-earth Doped Fiber Amplifiers
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作者 CHANGJun WANGQing-pu LIANJie ZHANGXing-yu LIPing ZHANGSha-sha 《Semiconductor Photonics and Technology》 CAS 2004年第2期117-121,共5页
Broadband,high bit rate,long hauls and system intelligence are current trends in developing fiber optic communication systems.The ever-increasing traffic demands have made it urgent to develop new band optical fiber a... Broadband,high bit rate,long hauls and system intelligence are current trends in developing fiber optic communication systems.The ever-increasing traffic demands have made it urgent to develop new band optical fiber amplifier.Laser characteristics of various rare-earth ion including Er3+,Tm3+,Pr3+,Dy3+,Ho3+,and Nd3+ doped fiber are reviewed.Recent advances of rare-earth doped fiber amplifiers with wide-band and flat gain are also introduced. 展开更多
关键词 Rare-earth doped fiber amplifier Laser characteristics
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Effect of Soliton Propagation in Fiber Amplifiers
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作者 SHENTin-gen PANBo 《Semiconductor Photonics and Technology》 CAS 2001年第4期241-246,共6页
The propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes linear high order dispersion, two photon absorption, nonlinear high order dispersion, self induced Ramam and fi... The propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes linear high order dispersion, two photon absorption, nonlinear high order dispersion, self induced Ramam and five order nonlinear effects. Based on travelling wave method, the solutions of the nonlinear Schr dinger equations, and the influence on soliton propagation as well as high order effect in the fiber amplifier are discussed in detail. It is found that because of existing five order nonlinear effect, the solution is not of secant hyperbola type, but shows high gain state of the fiber amplifier which is very favourable to the propagation of solitons. 展开更多
关键词 High order effect Soliton propagation fiber amplifiers Travelling wave method
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Analytical Studies on 980 nm Pumped Erbium-doped Fiber Amplifiers
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作者 XIAGuangqiong CHENJIanguo 《Semiconductor Photonics and Technology》 CAS 1996年第1期14-17,共4页
Modeled with a three-level-atom appropriate to 980 nm pumped amplifiers,analytical solutions have been deduced for the rate equations of erbium-doped fiber amplifiers.Various key parameters of the amplifiers have been... Modeled with a three-level-atom appropriate to 980 nm pumped amplifiers,analytical solutions have been deduced for the rate equations of erbium-doped fiber amplifiers.Various key parameters of the amplifiers have been specified. 展开更多
关键词 Erbium-doped fiber amplifier Soliton Transmission Rate Equation
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Coherent beam combining of two all‑PM thulium‑doped fiber chirped pulse amplifiers
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作者 Bo Ren Hongxiang Chang +7 位作者 Can Li Tao Wang Kaikai Jin Jiayi Zhang Kun Guo Rongtao Su Jinyong Leng Pu Zhou 《Frontiers of Optoelectronics》 EI CSCD 2024年第2期33-42,共10页
In this paper,we report a coherent beam combining(CBC)system that involves two thulium-doped all-polarization maintaining(PM)fiber chirped pulse amplifiers.Through phase-locking the two channels via a fiber stretcher ... In this paper,we report a coherent beam combining(CBC)system that involves two thulium-doped all-polarization maintaining(PM)fiber chirped pulse amplifiers.Through phase-locking the two channels via a fiber stretcher by using the stochastic parallel gradient descent(SPGD)algorithm,a maximum average power of 265 W is obtained,with a CBC efficiency of 81%and a residual phase error of λ/17.After de-chirping by a pair of diffraction gratings,the duration of the combined laser pulse is compressed to 690 fs.Taking into account the compression efficiency of 90%and the main peak energy proportion of 91%,the corresponding peak power is calculated to be 4 MW.The laser noise characteristics before and after CBC are examined,and the results indicate that the CBC would degrade the low frequency relative intensity noise(RIN),of which the integration is 1.74%in[100 Hz,2 MHz]at the maximum combined output power.In addition,the effects of the nonlinear spectrum broadening during chirped pulse amplification on the CBC efficiency are also investigated,showing that a higher extent of pulse stretching is effective in alleviating the spectrum broadening and realizing a higher output power with decent combining efficiency. 展开更多
关键词 Coherent beam combining thulium-doped fiber laser High-average power Chirped pulse amplifier
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Low-modal-crosstalk doped-fiber amplifiers in few-mode-fiber-based systems
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作者 SHUAILUO HUANG LEI SHEN +12 位作者 GANG QIAO YUANPENG DING YUYANG GAO JIAN CUI BAOLONG ZHU SIYUAN LIU MINGQING ZUO JINGLONG ZHU LEI ZHANG JIE LUO YONGQI HE ZHANGYUAN CHEN JUHAO LI 《Photonics Research》 SCIE EI CAS CSCD 2024年第8期1768-1775,共8页
Independent light propagation through one or multiple modes is commonly considered as a basic demand for mode manipulation in few-mode fiber(FMF)-or multimode fiber(MMF)-based optical systems such as transmission link... Independent light propagation through one or multiple modes is commonly considered as a basic demand for mode manipulation in few-mode fiber(FMF)-or multimode fiber(MMF)-based optical systems such as transmission links,optical fiber lasers,or distributed optical fiber sensors.However,the insertion of doped-fiber amplifiers always kills the entire effort by inducing significant modal crosstalk.In this paper,we propose the design of doped-fiber amplifiers in FMF-based systems adopting identical multiple-ring-core(MRC)index profiles for both passive and doped fibers to achieve low modal crosstalk.We develop the direct-glass-transition(DGT)modified chemical vapor deposition(MCVD)processing for precise fabrication of few-mode erbium-doped fibers(FM-EDFs)with MRC profiles of both refractive index and erbium-ion doping distribution.Then,a few-mode erbium-doped-fiber amplifier(FM-EDFA)with a maximum gain of 26.08 dB and differential modal gain(DMG)of 2.3 dB is realized based on fabricated FM-EDF matched with a transmission FMF supporting four linearly polarized(LP)modes.With the insertion of the FM-EDFA,60+60 km simultaneous LP_(01)∕LP_(11)∕LP_(21)∕LP_(02)transmission without inter-modal multiple-input multiple-output digital signal processing(MIMO-DSP)is successfully demonstrated.The proposed design of low-modal-crosstalk doped-fiber amplifiers provides,to our knowledge,new insights into mode manipulation methods in various applications. 展开更多
关键词 fiber CROSSTALK amplifiers
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980-nm all-fiber mode-locked Yb-doped phosphate fiber oscillator based on semiconductor saturable absorber mirror and its amplifier 被引量:4
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作者 李平雪 姚毅飞 +6 位作者 池俊杰 胡浩伟 张光举 梁博兴 张孟孟 马春媚 苏宁 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第8期185-190,共6页
A 980-nm semiconductor saturable absorber mirror(SESAM) mode-locked Yb-doped phosphate fiber laser is demonstrated by using an all-fiber linear cavity configuration. Two different kinds of cavity lengths are introdu... A 980-nm semiconductor saturable absorber mirror(SESAM) mode-locked Yb-doped phosphate fiber laser is demonstrated by using an all-fiber linear cavity configuration. Two different kinds of cavity lengths are introduced into the oscillator to obtain a robust and stable mode-locked seed source. When the cavity length is chosen to be 6 m, the oscillator generates an average output power of 3.5 m W and a pulse width of 76.27 ps with a repetition rate of 17.08 MHz. As the cavity length is optimized to short, 4.4-m W maximum output power and 61.15-ps pulse width are produced at a repetition rate of 20.96 MHz. The output spectrum is centered at 980 nm with a narrow spectral bandwidth of 0.13 nm. In the experiment, no undesired amplified spontaneous emission(ASE) nor harmful oscillation around 1030 nm is observed. Moreover,through a two-stage all-fiber-integrated amplifier, an output power of 740 m W is generated with a pulse width of 200 ps. 展开更多
关键词 980-nm fiber laser SESAM mode-locking Yb-doped phosphate fiber fiber amplifier
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Nonlinear compression of picosecond chirped pulse from thin-disk amplifier system through a gas-filled hollow-core fiber 被引量:2
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作者 陆俊 黄志远 +7 位作者 王丁 许毅 刘彦祺 郭晓杨 黎文开 吴分翔 刘征征 冷雨欣 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第12期277-282,共6页
We theoretically study the nonlinear compression of a 20-rnJ, 1030-nm picosecond chirped pulse from the thin-disk amplifier in a krypton gas-filled hollow-core fiber. The chirp from the thin-disk amplifier system has ... We theoretically study the nonlinear compression of a 20-rnJ, 1030-nm picosecond chirped pulse from the thin-disk amplifier in a krypton gas-filled hollow-core fiber. The chirp from the thin-disk amplifier system has little influence on the initial pulse, however, it shows an effect on the nonlinear compression in hollow-core fiber. We use a large diameter hollow waveguide to restrict undesirable nonlinear effects such as ionization; on the other hand, we employ suitable gas pressure and fiber length to promise enough spectral broadening; with 600-μm, 6-bar (1 bar = 105 Pa), 1.8-m hollow fiber, we obtain 31.5-fs pulse. Moreover, we calculate and discuss the optimal fiber lengths and gas pressures with different initial durations induced by different grating compression angles for reaching a given bandwidth. These results are meaningful for a compression scheme from picoseconds to femtoseconds. 展开更多
关键词 picosecond pulse hollow-core fiber thin-disk amplifier spectrum broadening
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A Temperature-Insensitive Amplified Spontaneous Emission Broadband Source Based on Er-Doped Fiber 被引量:3
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作者 Vue-e Chen Yun-kai Zhou +2 位作者 De-wang Yang Wei Yan Yong Wang 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第4期53-55,共3页
To obtain a stable amplified spontaneous emission(ASE) source for complex environment applications, we design an ASE source and study the output power and spectral characteristics under different ambient temperature... To obtain a stable amplified spontaneous emission(ASE) source for complex environment applications, we design an ASE source and study the output power and spectral characteristics under different ambient temperatures.We optimize the structure of the ASE source to flatten the ASE spectrum, and study the output characteristics in terms of output power and optical spectrum under different pump powers. Then the performance of the ASE source is investigated in the temperature range from-18.9°C to 50°C. A stable-power and flat-spectrum ASE source can be obtained by structural optimization and pump control. 展开更多
关键词 EDF ASE A Temperature-Insensitive amplified Spontaneous Emission Broadband Source Based on Er-Doped fiber length
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