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Generation and dynamics of special mode-locked pulses in an ultrafast Er-doped fiber laser with SMF-GIMF-SMF saturable absorber 被引量:1
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作者 LIN Yingjie ZENG Qiong +3 位作者 JI Yubo SONG Yufeng WANG Ke WANG Zhenhong 《Optoelectronics Letters》 2025年第5期265-270,共6页
In this paper, we have demonstrated an Er-doped ultrafast laser with a single mode fiber-gradient index multimode fiber-single mode fiber(SMF-GIMF-SMF, SMS) structure as saturable absorber(SA), which can generate not ... In this paper, we have demonstrated an Er-doped ultrafast laser with a single mode fiber-gradient index multimode fiber-single mode fiber(SMF-GIMF-SMF, SMS) structure as saturable absorber(SA), which can generate not only stable single-pulse state, but also special mode-locked pulses with the characteristics of high energy and noisy behaviors at proper pump power and cavity polarization state. In addition, we have deeply investigated the real-time spectral evolutions of the mode-locked pulses through the dispersive Fourier transformation(DFT) technique. It can be found that the pulse regime can actually consist of a lot of small noise pulses with randomly varying intensities. We believe that these results will further enrich the nonlinear dynamical processes in the ultrafast lasers. 展开更多
关键词 ultrafast laser ER doped fiber SMF GIMF SMF dispersive Fourier transformation saturable absorber sa mode locked pulses nonlinear dynamics saturable absorber
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Numerical simulation of thulium-doped fiber amplifier at 2µm
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作者 WU Yajian WANG Zhenyu +2 位作者 XIE Zhoufa JI Jianhua WANG Ke 《Optoelectronics Letters》 2025年第10期582-588,共7页
In this paper,we have mainly studied the amplification effect of thulium-doped fiber amplifier(TDFA)at 2µm,and compared different amplification effects of the one-stage TDFA,two-stage TDFA and three-stage TDFA at... In this paper,we have mainly studied the amplification effect of thulium-doped fiber amplifier(TDFA)at 2µm,and compared different amplification effects of the one-stage TDFA,two-stage TDFA and three-stage TDFA at proper conditions.The simulation results show that within the effective threshold,with the increase of the pump power,the amplification effect of the optical amplifier improves,but the signal-to-noise ratio(SNR)of the output signal decreases,in order to balance the gain benefit and noise coefficient of TDFA,we can use a multi-stage amplification structure.Three-stage backward-pumped series 2.06µm TDFA,whose slope efficiency can achieve 11%at certain condition.At 5.2 W pump power,the output signal gain of 2µm TDFA exceeds 20 dB,and the output SNR is higher than 32 dB.In addition,the effect of the optimum length of thulium-doped fiber on the amplification performance of 2µm TDFA is also analyzed in this paper.These simulation results are important for the experiment and design of 2µm TDFA. 展开更多
关键词 optical amplifier amplification effect thulium doped fiber amplifier slope efficiency effective thresholdwith multi stage amplification two micron amplification signal noise ratio
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Sb_(2)Se_(3) as saturable absorber for Q-switching generation in an erbium-doped fiber laser
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作者 LÜWenhao LIU Tianrun +2 位作者 XU Yan CUI Chenghao LIU Xiaojuan 《Optoelectronics Letters》 2025年第8期455-461,共7页
Based on the nonlinear saturable absorption properties(NSAPs)of a two-dimensional(2D)material of antimony selenide(Sb_(2)Se_(3)),a Q-switched erbium-doped fiber(EDF)laser is systematically demonstrated.The Sb_(2)Se_(3... Based on the nonlinear saturable absorption properties(NSAPs)of a two-dimensional(2D)material of antimony selenide(Sb_(2)Se_(3)),a Q-switched erbium-doped fiber(EDF)laser is systematically demonstrated.The Sb_(2)Se_(3)nano sheets are prepared by liquid-phase exfoliation(LPE)method.After the sandwich-structured Sb_(2)Se_(3)saturable absorber(SA)is fabricated,the NSAPs are characterized and the modulation depth,the saturation intensity and the unsaturated loss are determined to be 25.2%,2.02 MW/cm^(2),and 3.29%,respectively.When the as-prepared Sb_(2)Se_(3)-SA is integrated into the ring cavity,the laser operates at a stable Q-switching regime in the pump power range of 100—400 mW.The laser oscillates at the central wavelength of 1558.48 nm with a 3 dB bandwidth of 2.32 nm.Take the advantages of the Sb_(2)Se_(3)-SA,the pulse duration can be compressed from 40.49 kHz to 128.12 kHz.At the pump power of 400 mW,the Q-switching laser gives the narrowest pulse duration the highest average output power,the largest pulse energy,and the signal-to-noise ratio(SNR)of 0.93μs,2.16 mW,16.89 nJ,and 53 dB,respectively.Our new attempt on Sb_(2)Se_(3)-based Q-switched EDF laser,combining the existing mode-locking achievements,proves that Sb_(2)Se_(3)is a powerful candidate for pulse compression due to the characteristics of high modulation depth and high stability. 展开更多
关键词 antimony selenide sb se Two dimensional material nonlinear saturable absorption properties nsaps saturation intensity sb Se Q switching Erbium doped fiber laser unsaturated loss
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Dual-wavelength ring cavity erbium-doped fiber laser with multi-output port based on polarization beam splitting
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作者 CHEN Tao LIU Fengnian +3 位作者 GUO Xin ZHANG Zhenhe LAI Rong ZHU Junhui 《Optoelectronics Letters》 2025年第11期641-647,共7页
A dual-wavelength ring-cavity erbium-doped fiber(EDF)laser is designed based on two polarization beam splitters(PBSs)and a polarization controller(PC)performing gain equalization and polarization hole burning(PHB)effe... A dual-wavelength ring-cavity erbium-doped fiber(EDF)laser is designed based on two polarization beam splitters(PBSs)and a polarization controller(PC)performing gain equalization and polarization hole burning(PHB)effect.At room temperature,a stable dual-wavelength laser and a multi-output port laser which can simultaneously emit single-wavelength lasing and dual-wavelength lasing are obtained.The signal-to-noise ratios(SNRs)for single-wavelength outputs were 54.70 dB and 57.10 dB,with power fluctuations less than 0.038 mW and 0.029 mW,respectively.For dual-wavelength lasing,the SNRs were 59.63 dB and 59.25 dB,with power fluctuations less than 0.018 mW and 0.008 mW,respectively.The center wavelength drift was less than 0.006 nm for both single-wavelength and dual-wavelength outputs. 展开更多
关键词 polarization beam splitter polarization controller polarization controller pc performing polarization hole burning polarization beam splitters pbss gain equalization dual wavelength erbium doped fiber laser
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A Review on Fiber Lasers 被引量:3
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作者 Lin Jintong Lu Dan Dai Yitang 《China Communications》 SCIE CSCD 2012年第8期1-15,共15页
After a half century of development, fiber laser has evolved from a concept to a great family penetrating into various fields of applications. This paper reviews the history and current development of fiber lasers, wi... After a half century of development, fiber laser has evolved from a concept to a great family penetrating into various fields of applications. This paper reviews the history and current development of fiber lasers, with topics covering both continuous wave and short pulse fiber lasers. Important issues such as the major rare earth dopants, fiber laser brightness, polarization effects, clad pumping technology, beam combination, mode locking and pulse shaping are discussed in this paper. 展开更多
关键词 fiber laser rare earth doped fiber continuous wave fiber laser ultra-short pulse fiber laser
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A Single-Frequency Linearly Polarized Fiber Laser Using a Newly Developed Heavily Tm3+-Doped Germanate Glass Fiber at 1.95 μm 被引量:8
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作者 杨麒 徐善辉 +5 位作者 李灿 杨昌盛 冯洲明 肖瑜 黄湘 杨中民 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第9期62-65,共4页
A compact linearly polarized, low-noise, narrow-linewidth, single-frequency fiber laser at 1950nm is demonstrated. This compact fiber laser is based on a 21-mm-long homemade Tm3+-doped germanate glass fiber. Over 100... A compact linearly polarized, low-noise, narrow-linewidth, single-frequency fiber laser at 1950nm is demonstrated. This compact fiber laser is based on a 21-mm-long homemade Tm3+-doped germanate glass fiber. Over 100-mW stable continuous-wave single transverse and longitudinal mode lasing at 195Ohm are achieved. The measured relative intensity noise is less than -135dB/Hz at frequencies over 5 MHz. The signal-to-noise ratio of the laser is larger than 72dB, and the laser linewidth is less than 6kHz, while the obtained linear polarization extinction ratio is higher than 22 dB. 展开更多
关键词 FBG Doped Germanate Glass fiber at 1.95 DBR kHz RIN A Single-Frequency Linearly Polarized fiber Laser Using a Newly Developed Heavily Tm
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Powerful 2 μm Silica Fiber Sources: A Review of Recent Progress and Prospects 被引量:3
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作者 Xiao-Xi Jin Xiong Wang +2 位作者 Pu Zhou Hu Xiao Ze-Jin Liu 《Journal of Electronic Science and Technology》 CAS CSCD 2015年第4期315-327,共13页
A review on the progress of powerful 2 μm silica fiber sources in past decades is presented. We review the state-of-the-art records and representative achievements of 2 μm high-average-power continuous- wave, pulsed... A review on the progress of powerful 2 μm silica fiber sources in past decades is presented. We review the state-of-the-art records and representative achievements of 2 μm high-average-power continuous- wave, pulsed fiber lasers and amplifiers, and powerful superfluorescent sources. Challenges which limit the further power scaling of 2 μm silica fiber sources are discussed, including pumping brightness limitation, thermal problem and nonlinear effects. Potential and promising roadmaps to go beyond these limitations, like tandem pumping and beam combining, are discussed. Prospects of powerful 2 μm silica fiber sources are also presented in the end of paper. 展开更多
关键词 Doped fiber amplifiers fiber lasers high power amplifiers infrared spectra.
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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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Structural Performance and Characterization of Polyimide Doped Activated Carbon Fibers for Mercury Adsorption 被引量:2
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作者 刁永发 郝卫辉 +2 位作者 邹钺 余婉璇 张润圃 《Journal of Donghua University(English Edition)》 EI CAS 2011年第3期291-294,共4页
Structure characteristics about activated carbon fibers (ACF) and polyimide (P84) doped ACF modified by HNO3 solution were studied to apply in mercury removal in coal-fired flue gases. The P84, which was always used i... Structure characteristics about activated carbon fibers (ACF) and polyimide (P84) doped ACF modified by HNO3 solution were studied to apply in mercury removal in coal-fired flue gases. The P84, which was always used in the non-woven fabric for bag filter, was intermingled with polyacrylonitrile-based ACF (PAN-ACF) in the weight ratio of 1∶1 in order to make the doped ACF with P84 (doped-ACF-P84). Then the doped-ACF-P84 fibers were modified by HNO3 solution. The structure and morphology of doped-ACF-P84 were characterized and compared with those of ACF and doped-ACF-P84 modified by HNO3solution. The results show that the modified doped-ACF-P84 fibers have almost the same pore structure and specific surface area comparing with the original one. However, contrasted with the original PAN-ACF, the doped-ACF-P84 fibers modified by HNO3 solution have more oxygen-containing groups used for mercury removal. In particular, they have more lactone and carboxyl groups. 展开更多
关键词 polyimide doped activated carbon fibers MODIFICATION structural performance CHARACTERIZATION
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Optical Fiber Grating Bistability
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作者 Zhang Yuancheng Song Qian 《Wuhan University Journal of Natural Sciences》 CAS 1997年第4期41-44,共4页
It is proposed that a segment of Er doped fiber with a couple of fiber gratings on the ends may be used as a novel optical bistability device with low power and high speed. Operation and bistability threshold of devi... It is proposed that a segment of Er doped fiber with a couple of fiber gratings on the ends may be used as a novel optical bistability device with low power and high speed. Operation and bistability threshold of device are analysed in accordance with the distributed feedback couple mode theory and the nonlinear characteristic of Er doped fiber. It is shown that a nanoseconds microwatts bistable operation of a centimeter device is realizable under nowaday technological condition. 展开更多
关键词 optical bistability fiber grating ER doped fiber
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1.55 μm Wavelength Operation of E_r^(3+) -Doped Optical Fiber Bistability
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作者 SONG Qian 1, ZHANG Yuan cheng 2 1. College of Electronics Information, Wuhan University, Wuhan 430072, China 2. Department of Physics, Wuhan University, Wuhan 430072, China 《Wuhan University Journal of Natural Sciences》 CAS 1999年第4期435-438,共4页
An all optical all fiber optical bistability operation has been realized in an all fiber cavity consisted with Er doped fiber and optical fiber loop mirrors. The experimental bistability threshold is consistent w... An all optical all fiber optical bistability operation has been realized in an all fiber cavity consisted with Er doped fiber and optical fiber loop mirrors. The experimental bistability threshold is consistent with the theory. 展开更多
关键词 optical nonlinearity optical bistability Er doped fiber all fiber device
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A novel 3-stage structure for a low-noise, high-gain and gain-flattened L-band erbium doped fiber amplifier
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作者 强则煊 何赛灵 +1 位作者 张徐亮 沈林放 《Journal of Zhejiang University Science》 CSCD 2004年第9期1130-1134,共5页
The configuration of the novel three-stage L-band erbium-doped fiber amplifier with very large and flat gain and very low noise figure presented in this paper uses the forward ASE (amplified spontaneous emission) from... The configuration of the novel three-stage L-band erbium-doped fiber amplifier with very large and flat gain and very low noise figure presented in this paper uses the forward ASE (amplified spontaneous emission) from the first section of the EDF (erbium-doped fiber) and the backward ASE from the third section of the EDF (both serve as the secondary pump sources of energy) to pump the second EDF. To improve the pump efficiency, the power of the pump is split into two parts (with a ratio of e.g. 2:7). The characteristics of this L-band EDFA are studied on the basis of the Giles Model with ASE. 展开更多
关键词 Erbium doped fiber amplifier Three-stage Pump L-BAND fiber optical communication
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Absorptive Nonlinearity in Er-Doped Optical Fiber
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作者 Song, Qian Li, Ji-xing Zhang, Yuan-cheng 《Wuhan University Journal of Natural Sciences》 EI CAS 1999年第2期56-59,共4页
Optical absorptive nonlinearity in Er doped optical fiber has been discussed and measured at the window wavelength 1.55 μm for optical communications firstly. It is proposed that the mechanism of this absorptive... Optical absorptive nonlinearity in Er doped optical fiber has been discussed and measured at the window wavelength 1.55 μm for optical communications firstly. It is proposed that the mechanism of this absorptive nonlinearity is the induced absorption. The first order nonlinear absorptive coefficient and the imaginary part and the complex value of the third order susceptibility at that wavelength are obtained from the measured absorptive nonlinearity. 展开更多
关键词 optical nonlinearity Er doped fiber optical absorption
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Theoretical Modelling of Cascaded Er3+-Doped, Tm3+-Doped and Nd3+-Doped Fibers for 0.4 to 2.0 μm Emission Spectra
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作者 NKONDE Sampa JIANG Chun 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第6期754-762,共9页
We present a cascaded system designed with Er^3+-Doped,Tm^3+-doped and Nd^3+-doped fibers to realize amplified spontaneous emission(ASE)spectra covering 0.4—2.0μm.The system is excited with a pump laser emitting 808... We present a cascaded system designed with Er^3+-Doped,Tm^3+-doped and Nd^3+-doped fibers to realize amplified spontaneous emission(ASE)spectra covering 0.4—2.0μm.The system is excited with a pump laser emitting 808 nm photons with 500 m W pump power.The emission spectra of the cascaded system covering0.4—2.0μm are realized with the Er^3+,Tm^3+and Nd^3+ion doping densities optimized to 8×10^19,2×10^20 and8×10^20 ion/m^3,respectively,and the fiber length optimized to 1 m.Numerical methods reveal that the peak ASE power for the cascaded system can reach 20.9 m W.A minimum ASE power of 4.39 m W is attainable.Using numerical calculations and analytical techniques,we provide a detailed insight into optimized Er^3+-doped,Tm^3+-doped and Nd^3+-doped fiber lengths and their doping concentrations for ASE power spectra covering 0.4—2.0μm.We believe that the cascaded system can potentially provide significant applications in various optical fields which include but not limited to wavelength-division multiplexing,various optical communications and other salient medical imaging processes. 展开更多
关键词 cascaded fiber amplified spontaneous emission(ASE) rare-earth doped fiber
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Tunable Supercontinuum Generated in a Yb^3+-Doped Microstructure Fiber Pumped by Ti:Sapphire Femtosecond Laser
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作者 Wei Wang Fan-Chao Meng +8 位作者 Vuan Qing Shi Qiu Ting-Ting Dong Wei-Zhen Zhu Yu-Ting Zuo Ying nan Chao Wang Yue-Feng Qi Lan-Tian Hou 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第10期31-35,共5页
We experimentally demonstrate that a tunable supercontinuum(SC) can be generated in a Yb3+-doped microstructure fiber by the concept of wavelength conversion with a Ti:sapphire femtosecond(fs) laser as the pump.... We experimentally demonstrate that a tunable supercontinuum(SC) can be generated in a Yb3+-doped microstructure fiber by the concept of wavelength conversion with a Ti:sapphire femtosecond(fs) laser as the pump.Experimental results show that an emission light around 1040 nm in an anomalous dispersion region is first generated and amplified by fs pulses in the normal dispersion region. Then, SC spectra from 1100 to 1380 nm and 630 to 840 nm can be achieved by combined effects of higher-order soliton fission and Raman soliton self-frequency shift in the anomalous dispersion region and self-phase modulation, dispersive wave, and four-wave mixing in the normal dispersion region. It is also demonstrated that the 20 nm change of pump results in a 280 nm broadband shift of soliton and the further red-shift of soliton is limited by OH-absorption at 1380 nm. 展开更多
关键词 Tunable Supercontinuum Generated in a Yb length MSF SC Doped Microstructure fiber Pumped by Ti:Sapphire Femtosecond Laser TI
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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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Analysis of New Q-switched Erbium Doped Fiber Laser Based on Fiber Grating Loop Mirror
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作者 CAIHai-wen KIMInsooS 《Semiconductor Photonics and Technology》 CAS 2001年第4期202-204,208,共4页
An all fiber wavelength selective Q switching modulator based on fiber grating loop mirror is proposed. A newly configured Q switched erbium doped fiber laser using this all fiber modulator is numerically analyzed tak... An all fiber wavelength selective Q switching modulator based on fiber grating loop mirror is proposed. A newly configured Q switched erbium doped fiber laser using this all fiber modulator is numerically analyzed taking into account the effects of the spontaneous emission. 展开更多
关键词 Q switch Erbium doped fiber laser fiber grating
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Gain and Noise Properties of Bidirectional EDFAs 被引量:1
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作者 毛庆和 王劲松 +2 位作者 于虹 孙小菡 张明德 《Journal of Southeast University(English Edition)》 EI CAS 1998年第2期34-39,共6页
The rate equation model is setup for the signal gain, pump absorption and output noise spectrum of bidirectional EDFA (Bi EDFA) including numbers of signals, pumps of arbitrary direction, amplified spontaneous emissi... The rate equation model is setup for the signal gain, pump absorption and output noise spectrum of bidirectional EDFA (Bi EDFA) including numbers of signals, pumps of arbitrary direction, amplified spontaneous emission (ASE) and inherent loss. The influence of erbium doped fiber length, input signal power, pump style and pump power on the gain characteristics of Bi EDFA is analyzed. Forward and backward noise figure for different pump style versus bidirectional input signal power is investigated. 展开更多
关键词 erbium doped fiber bidirectional amplifier GAIN noise figure
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Chaotic dynamics of Pr^(3+)/Yb^(3+)-doped all-fiber up-conversion visible fiber laser
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作者 Yisong Li Yueling Hao +4 位作者 Juanfen Wang Xiaohui Chen Shengxiang Chen Chao Zhou Lingzhen Yang 《Chinese Physics B》 2026年第1期492-496,共5页
We investigate theoretically and experimentally the chaotic dynamics of visible-wavelength all-fiber ring laser.The100-m 630 HP fibers are used to ensure high non-linearity.A 4-m Pr^(3+)/Yb^(3+)-co-doped ZBLAN fiber p... We investigate theoretically and experimentally the chaotic dynamics of visible-wavelength all-fiber ring laser.The100-m 630 HP fibers are used to ensure high non-linearity.A 4-m Pr^(3+)/Yb^(3+)-co-doped ZBLAN fiber provides the gain.The chaotic laser was pumped by the laser diodes with the maximum power of 150 mW at the wavelength of 850 nm.The peak fluorescence spectrum of Pr^(3+)/Yb^(3+)-co-doped ZBLAN fiber at the wavelength of 635 nm shows that the visiblewavelength fiber laser can be achieved by synergistic energy transfer between Pr~(3+)and Yb^(3+)ions.The chaotic fiber laser is generated by adjusting the pump power,polarization controller and the auto-correlation,permutation entropy,skewness,and kurtosis were used to analyze the characteristics of chaotic laser.The noise-like time series and delta-like auto-correlation curve indicate the chaotic output.The complexity and randomness of time series are analyzed by the permutation entropy,skewness,and kurtosis.The result shows that chaotic dynamics is stable when the pump power exceeds a certain value.The visible chaotic all-fiber laser has high stability and can be applied for real-time monitoring and sensing.We believe that this approach may also be feasible for other materials for emission in the visible range. 展开更多
关键词 chaotic lasers visible fiber laser randomness Pr^(3+)/Yb^(3+)doped fiber
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Performance Tendency of Gain and Noise Figure at Different EDFA Configurations 被引量:1
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作者 Belloui Bouzid 《Journal of Electronic Science and Technology of China》 2010年第1期74-77,共4页
A comprehensive behavioral investigation of gain and noise figure (NF) at different erbium doped fiber amplifier (EDFA) configurations is proposed. Configurations such as single pass (SP), single pass with filt... A comprehensive behavioral investigation of gain and noise figure (NF) at different erbium doped fiber amplifier (EDFA) configurations is proposed. Configurations such as single pass (SP), single pass with filter (SPF), double pass (DP) and double pass with filter (DPF) are designed, investigated and compared. A continuous increasing of gain value is recorded by changing the configuration from SP to SPF to DP then to DPF. The NF value shows different behaviors at different configurations. 展开更多
关键词 Double pass erbium doped fiber gain noise figure single pass.
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