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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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Stimulated Brillouin Scattering Enhancement Factor Improvement in a 11.6-GHz-Linewidth 1.5-kW Yb-Doped Fiber Amplifier 被引量:2
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作者 刘广柏 杨依枫 +7 位作者 王建华 郑也 陈晓龙 刘恺 赵纯 漆云凤 何兵 周军 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第7期94-97,共4页
The stimulated Brillouin scattering (SBS) threshold enhancement factor in a pure white noise linewidth broad- ening Yb-doped fiber amplifier (YDFA) with a short large mode area fiber is theoretically and experimen... The stimulated Brillouin scattering (SBS) threshold enhancement factor in a pure white noise linewidth broad- ening Yb-doped fiber amplifier (YDFA) with a short large mode area fiber is theoretically and experimentally studied. We demonstrate a 1064.08nm, 11.6 GHz finewidth, 1.5 k W output power YDFA with an SBS threshold enhancement of -57 (26 W SBS threshold with single frequency seed). The output beam is near-diffraction lim- ited with a beam quality factor elM2 = 1.15 and a slope efficiency of up to 87%. No SBS or stimulated Raman scattering effects are observed in the whole power range. Further power sealing is limited by the available pump power in our system. 展开更多
关键词 SBS of Stimulated Brillouin Scattering Enhancement Factor Improvement in a 11.6-GHz-Linewidth 1.5-kW Yb-Doped fiber amplifier Yb is in GHz
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Generation of 47 fs Pulses from an Er:Fiber Amplifier 被引量:2
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作者 欧尚明 刘关玉 +2 位作者 雷卉 张志刚 张庆茂 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第7期101-104,共4页
We demonstrate a self-starting erbium fiber oscillator-amplifier system based on the nonlinear polarization rota- tion mode-locked mechanism. The direct output pulse from the amplifier is 47fs with an average power of... We demonstrate a self-starting erbium fiber oscillator-amplifier system based on the nonlinear polarization rota- tion mode-locked mechanism. The direct output pulse from the amplifier is 47fs with an average power of 1.22 W and a repetition rate of 50 MHz, corresponding to a pulse energy of 24 nJ. The full width at half-maximum of the spectrum of the output pulses is approximately 93nm at a central wavelength of 1572nm so that the transform- limited pulse duration is as short as 39 fs. Due to the imperfect dispersion compensation, we compress the pulses to 47fs in this experiment. 展开更多
关键词 Generation of 47 fs Pulses from an Er:fiber amplifier
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Raman Suppression in a Kilowatt Narrow-Band Fiber Amplifier
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作者 胡曼 杨依枫 +7 位作者 郑也 刘广柏 王建华 刘恺 陈晓龙 赵纯 何兵 周军 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第4期56-59,共4页
A novel technique to suppress stimulated Raman scattering in a high power narrow-band fiber amplifier is reported. By seeding with a comSination of a broadband amplified spontaneous emission seed and a narrowband mast... A novel technique to suppress stimulated Raman scattering in a high power narrow-band fiber amplifier is reported. By seeding with a comSination of a broadband amplified spontaneous emission seed and a narrowband master oscillator seed, the Raman Stokes components can be reduced about 16dB at a total output power of i kW. Ratnan suppression results are depicted in a different wavelengths seeding case and the same wavelength seeding ease, respectively, with different seed power ratios. 展开更多
关键词 of in SRS Raman Suppression in a Kilowatt Narrow-Band fiber amplifier FWM PLMA ASE is
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Effect of initial chirp on near-infrared supercontinuum generation by a nanosecond pulse in a nonlinear fiber amplifier
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作者 宋锐 侯静 +2 位作者 王泽锋 肖瑞 陆启生 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期445-450,共6页
Theoretical and experimental research on the effect of initial chirp on near-infrared supercontinuum generation by a nanosecond pulse in a nonlinear fiber amplifier is carded out. The complex Ginzburg-Landau equation ... Theoretical and experimental research on the effect of initial chirp on near-infrared supercontinuum generation by a nanosecond pulse in a nonlinear fiber amplifier is carded out. The complex Ginzburg-Landau equation is used to simulate the propagation of the pulse in the fiber amplifier and the results show that pulses with negative initial chirp produce the widest supercontinuum and pulses with positive initial chirp produce the narrowest supercontinuum when the central wavelength of the pump lies in the normal dispersion region of the gain fiber. A self-made line width narrowing system is utilized to control the initial chirp of the nanosecond pump pulse and a four-stage master oscillator power amplifier configuration is adopted to produce a high power near-infrared suppercontinuum. The experimental results are in good agreement with simulations which can provide some guidance on further optimization of the system in future work. 展开更多
关键词 fiber laser SUPERCONTINUUM initial chirp fiber amplifier
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Theory of noise in a kilo-Hz cascaded high-energy Yb-doped nanosecond pulsed fiber amplifier
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作者 刘明 张海涛 +5 位作者 巩马理 赵跃进 程文雍 孟阔 郑超 陈倚竹 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第4期335-341,共7页
A theoretical analysis of noise in a high-power cascaded fiber amplifier is presented. Unlike the noise theory in low power communication, the noise of a high power system is redefined as the leaked output energy betw... A theoretical analysis of noise in a high-power cascaded fiber amplifier is presented. Unlike the noise theory in low power communication, the noise of a high power system is redefined as the leaked output energy between pulses with coherent beat noise uncounted. This definition is more appropriate for high power usage in which the pulse energy receives more attention than the pulse shape integrity. Then the low power pre-amplifying stages are considered as linear amplification and analyzed by linear theory. In the high-power amplification stages, the inversion is assumed to recover linearly in the time interval between pulses. The time shape of the output pulse is different from that of the input signal because of different gains at the front and back ends of the pulse. Then, a criterion is provided to distinguish the nonlinear and linear amplifications based on the signal-to-noise ratio (SNR) analysis. Then, an experiment that shows that the output SNR actually drops off in nonlinear amplification is performed. The change in the noise factor can be well evaluated by pulse shape distortion. 展开更多
关键词 pulsed fiber amplifier signal-to-noise ratio cascaded amplifier master oscillator power amplifier
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Performance Enhancement of Praseodymium Doped Fiber Amplifiers
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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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Evolution of modes in double-clad Raman fiber amplifier
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作者 王文亮 黄良金 +2 位作者 冷进勇 郭少锋 姜宗福 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期307-311,共5页
Stimulated Raman scattering in a double cladding optical fiber is studied with a continuous wave laser used as a pump source. Under various launch conditions, pump modes are differently excited. Considering the mode c... Stimulated Raman scattering in a double cladding optical fiber is studied with a continuous wave laser used as a pump source. Under various launch conditions, pump modes are differently excited. Considering the mode coupling effect among the pump modes, the evolution of the power in the Stokes modes is studied. The results show that the scattered waves (the Stokes waves) in the fiber core with 9%tm diameter and 0.14 NA could propagate predominantly in the fundamental mode of the fiber by carefully adjusting the pump light launching conditions. 展开更多
关键词 fiber nonlinear optics high power Raman fiber amplifier fiber mode
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PbSe quantum dots for an evanescent wave excited fiber amplifier
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作者 庞拂飞 王婧 +2 位作者 曾祥龙 陈振宜 王廷云 《Journal of Shanghai University(English Edition)》 CAS 2011年第2期119-122,共4页
A novel quantum dots (QDs) optical fiber amplifier was proposed and demonstrated. It was fabricated by dipcoating the PbSe QDs doped sol onto the taper region of fiber coupler. The PbSe QDs was synthesized according... A novel quantum dots (QDs) optical fiber amplifier was proposed and demonstrated. It was fabricated by dipcoating the PbSe QDs doped sol onto the taper region of fiber coupler. The PbSe QDs was synthesized according to a colloidal method. A lower refractive index sol was also synthesized as the host of PbSe QDs. A standard single mode fiber was used to make the fusion tapered fiber coupler which had double input and output ports. With the simple structure, a signal and a pump can be injected into the amplifier and excite the PbSe QDs through evanescent wave. The experimental results indicated that the amplified light wave was observed at 1 550 nm wavelength with 980 nm .wavelength laser diode as pump. 展开更多
关键词 PbSe quantum dots (QDs) SOL-GEL fiber amplifier
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Low-Threshold Broadband Spectrum Generation by Amplification of Cascaded Stimulated Raman Scattering in an Ytterbium-Doped Fiber Amplifier
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作者 雷成敏 宋锐 +1 位作者 靳爱军 侯静 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第7期59-62,共4页
We present an experimental study on low-threshold broadband spectrum generation mainly due to the amplirfication of the cascaded stimulated Raman scattering (SRS) effect in a four-stage fiber master oscillator power... We present an experimental study on low-threshold broadband spectrum generation mainly due to the amplirfication of the cascaded stimulated Raman scattering (SRS) effect in a four-stage fiber master oscillator power amplifier system. The cascaded SRS is achieved by using a long passive fiber pumped by a pulsed fiber laser cen: tered at wavelength 1064 nm. The amplified spontaneous emission during the amplification process is efficiently suppressed by cutting the length of the passive fiber and by using a double-clad ytterbium-doped fiber amplifier. The generated broadband spectrum spans from 960nm to 1700nm with maximum average output 13.6 W and average spectral power density approximately 17. 7 mW/nm. 展开更多
关键词 Low-Threshold Broadband Spectrum Generation by Amplification of Cascaded Stimulated Raman Scattering in an Ytterbium-Doped fiber amplifier SRS
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Effect of pulse width on near-infrared supercontinuum generation in nonlinear fiber amplifier
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作者 宋锐 雷成敏 +2 位作者 陈胜平 王泽锋 侯静 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第8期351-355,共5页
The effect of pulse width on near-infrared supercontinuum generation in nonlinear fiber amplifier is investigated theoretically and experimentally. The complex Ginzburg–Landau equation and adaptive split-step Fourier... The effect of pulse width on near-infrared supercontinuum generation in nonlinear fiber amplifier is investigated theoretically and experimentally. The complex Ginzburg–Landau equation and adaptive split-step Fourier method are used to simulate the propagation of pulses with different pulse widths in the fiber amplifier, and the results show that a longer pulse is more profitable in near-infrared supercontinuum generation if the central wavelength of the input laser lies in the normal dispersion region of the gain fiber. A four-stage master oscillator power amplifier configuration is adopted and the output spectra under picosecond and nanosecond input pulses are compared with each other. The experimental results are in good accordance with the simulations which can provide some guidance for further optimization of the system. 展开更多
关键词 fiber laser supercontinuum pulse width fiber amplifier
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Influence of mode competition on beam quality of fiber amplifier
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作者 肖起榕 闫平 +3 位作者 孙骏逸 陈霄 任海翠 巩马理 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第10期235-241,共7页
Theoretical and experimental studies of the influence of the mode competition on the output beam quality of fiber amplifiers are presented. Rate equations and modal decomposition method are used in the theoretical mod... Theoretical and experimental studies of the influence of the mode competition on the output beam quality of fiber amplifiers are presented. Rate equations and modal decomposition method are used in the theoretical model. In the experiment, the output beam-quality factor of a fiber amplifier, which is based on a Yb-doped double-clad large mode area fiber as a function of the seed beam quality and the pump power of the amplifier, is measured. The experimental results are consistent with the theoretical analysis. 展开更多
关键词 fiber laser and amplifier mode competition beam quality
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High-power single-frequency fiber amplifiers:progress and challenge[Invited] 被引量:1
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作者 李灿 陶悦 +6 位作者 姜曼 马鹏飞 刘伟 粟荣涛 许将明 冷进勇 周朴 《Chinese Optics Letters》 SCIE EI CAS CSCD 2023年第9期7-20,共14页
Unlike conventional continuous-wave lasers with wide spectra,the amplification of single-frequency lasers in optical fibers is much more difficult owing to the ultra-high power spectral density induced nonlinear stimu... Unlike conventional continuous-wave lasers with wide spectra,the amplification of single-frequency lasers in optical fibers is much more difficult owing to the ultra-high power spectral density induced nonlinear stimulated Brillouin scattering effect.Nevertheless,over the past two decades much effort has been devoted to improving the power scaling and performance of high-power single-frequency fiber amplifiers.These amplifiers are mostly driven by applications,such as high precision detection and metrology,and have benefited from the long coherence length,low noise,and excellent beam quality of this type of laser source.In this paper,we review the overall development of high-power single-frequency fiber amplifiers by focusing on its progress and challenges,specifically,the strategies for circumventing the stimulated Brillouin scattering and transverse mode instability effects that,at present,are the major limiting factors of the power scaling of the single-frequency fiber amplifiers.These factors are also thoroughly discussed in terms of free-space and all-fiber coupled architecture.In addition,we also examine the noise properties of single-frequency fiber amplifiers,along with corresponding noise reducing schemes.Finally,we briefly envision the future development of high-power single-frequency fiber amplifiers. 展开更多
关键词 single frequency fiber amplifier stimulated Brillouin scattering transverse mode instability low noise
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High-power 1560 nm single-frequency erbium fiber amplifier core-pumped at 1480 nm
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作者 Xin Cheng Zhiquan Lin +4 位作者 Xuezong Yang Shuizhen Cui Xin Zeng Huawei Jiang Yan Feng 《High Power Laser Science and Engineering》 SCIE CAS CSCD 2023年第1期18-25,共8页
High-power continuous-wave single-frequency Er-doped fiber amplifiers at 1560 nm by in-band and core pumping of a 1480 nm Raman fiber laser are investigated in detail.Both co-and counter-pumping configurations are stu... High-power continuous-wave single-frequency Er-doped fiber amplifiers at 1560 nm by in-band and core pumping of a 1480 nm Raman fiber laser are investigated in detail.Both co-and counter-pumping configurations are studied experimentally.Up to 59.1 W output and 90%efficiency were obtained in the fundamental mode and linear polarization in the co-pumped case,while less power and efficiency were achieved in the counter-pumped setup for additional loss.The amplifier performs indistinguishably in terms of laser linewidth and relative intensity noise in the frequency range up to 10 MHz for both configurations.However,the spectral pedestal is raised in co-pumping,caused by cross-phase modulation between the pump and signal laser,which is observed and analyzed for the first time.Nevertheless,the spectral pedestal is 34.9 dB below the peak,which has a negligible effect for most applications. 展开更多
关键词 in-band pump Raman fiber laser single-frequency Er fiber amplifier
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Design of large-mode-area rare earth doped fiber for high power coiled fiber amplifier 被引量:4
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作者 陈爽 冯莹 王玲 《Chinese Optics Letters》 SCIE EI CAS CSCD 2009年第8期671-674,共4页
The numerical study on the performance of large-mode-area (LMA) fibers coiled onto a spool in high power amplifier is carried out as the bend-induced distortion of fiber modes severely affects the output characteris... The numerical study on the performance of large-mode-area (LMA) fibers coiled onto a spool in high power amplifier is carried out as the bend-induced distortion of fiber modes severely affects the output characteristics of amplifier systems. The variations for high-order mode bend distortion with different orientations relative to the plane of the fiber bend are observed and shown. Concerning the practical applications, a bend-resistant LMA fiber with the mode area larger than 1000 μm^2 and excellent highorder mode suppression is designed completely by optimizing the refractive index (RI) and dopant profile. The results indicate that a hybrid profile of RI and dopant is the best choice for LMA fiber with coiling. 展开更多
关键词 Doping (additives) fiber amplifiers Power amplifiers Rare earth elements Refractive index
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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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Pulsed-pumped optical fiber amplifier 被引量:2
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作者 黄绣江 郭葆玲 +8 位作者 杨文奎 陈光辉 龚心弦 孔勇 李栋 李忻 隋展 李明中 王建军 《Chinese Optics Letters》 SCIE EI CAS CSCD 2009年第8期712-714,共3页
With the use of pulsed pumping, an optical fiber amplifier with all-fiber structure is developed based on the fused tapered fiber combiner and Yb^3+-doped double cladding fiber (YDCF). From the experimental results... With the use of pulsed pumping, an optical fiber amplifier with all-fiber structure is developed based on the fused tapered fiber combiner and Yb^3+-doped double cladding fiber (YDCF). From the experimental results, 47-dBm peak power and 100-ns pulse duration are obtained when the repetition rate of pumping pulses is 100 Hz. The gain of the amplifier is up to 30 dB. It is shown that due to the use of pulsed pumping, pump light emits only when the signal light reaches the amplifier and thus the amplified spontaneous emission (ASE) is significantly suppressed. 展开更多
关键词 Cladding (coating) fiber amplifiers fibers Optical fibers Optical materials PUMPS YTTERBIUM
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Optimal design of Er/Yb co-doped fiber amplifiers with an Yb-band fiber Bragg grating 被引量:3
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作者 Qun Han Wenchuan Yan +2 位作者 Yunzhi Yao Yaofei Chen Tiegen Liu 《Photonics Research》 SCIE EI 2016年第2期53-56,共4页
In this paper, Er/Yb co-doped fiber amplifiers(EYDFAs) with an Yb-band fiber Bragg grating(FBG) at the pump end to improve the performance of the amplifier is systematically studied. The influence of the reflectivity ... In this paper, Er/Yb co-doped fiber amplifiers(EYDFAs) with an Yb-band fiber Bragg grating(FBG) at the pump end to improve the performance of the amplifier is systematically studied. The influence of the reflectivity and center wavelength of the FBG along with the gain-fiber length on the performance of an EYDFA are numerically analyzed. The results show that the wavelength of the FBG has critical influence on the efficiency of the EYDFA,whereas the requirement to its reflectivity is relaxed. It is an effective and promising way to improve the efficiency of a high-power pumped EYDFA by introducing a suitable Yb-band FBG at the pump end. Based on the analysis of the underlying principles, suggestions for the practical design and possible further improvement strategies are also proposed. 展开更多
关键词 FBG YB Optimal design of Er/Yb co-doped fiber amplifiers with an Yb-band fiber Bragg grating
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Design of Raman-parametric fiber amplifier for wavelength division multiplex transmission system 被引量:1
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作者 江晓弘 姜淳 章晓鸣 《Chinese Optics Letters》 SCIE EI CAS CSCD 2008年第5期327-330,共4页
We optimize the novel configuration of a hybrid fiber amplifier - Raman assisted-fiber-based optical parametric amplifier (R-FOPA), in which the parametric gain and Raman gain profiles are combined to achieve a flat... We optimize the novel configuration of a hybrid fiber amplifier - Raman assisted-fiber-based optical parametric amplifier (R-FOPA), in which the parametric gain and Raman gain profiles are combined to achieve a flat composite gain profile. The pump powers and the fiber length in the hybrid amplifier are effectively optimized by genetic algorithm (GA) scheme. The optimization results indicate that the RFOPA can achieve a 200-nm flat bandwidth spectrum with the gain of 20 dB and ripple of less than 4 dB. 展开更多
关键词 Computer networks Electric power transmission fiber amplifiers fiber optics Genetic algorithms Light amplifiers Microwave amplifiers MULTIPLEXING OPTIMIZATION Parametric amplifiers Parametric devices
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Stimulated Brillouin scattering threshold dependent on temporal characteristics in a kilowatt-peak-power,single-frequency nanosecond pulsed fiber amplifier 被引量:1
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作者 胡曼 全昭 +6 位作者 王建华 刘恺 陈晓龙 赵纯 漆云凤 何兵 周军 《Chinese Optics Letters》 SCIE EI CAS CSCD 2016年第3期59-63,共5页
The stimulated Brillouin scattering (SBS) threshold affected by repetition rate and pulse duration in a single- frequency nanosecond pulsed fiber amplifier is studied. The experimental results demonstrate that the S... The stimulated Brillouin scattering (SBS) threshold affected by repetition rate and pulse duration in a single- frequency nanosecond pulsed fiber amplifier is studied. The experimental results demonstrate that the SBS threshold can be improved either by reducing the repetition rate or by narrowing the pulse duration; however, the average power may be limited in some cases. Otherwise, two evaluation methods for the SBS threshold in the fiber amplifier are compared and discussed, aiming to obtain a more accurate description for the SBS threshold in our single-frequency amplifier system. 展开更多
关键词 Brillouin scattering fiber amplifiers Pulse amplifiers Pulse repetition rate
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