Amplification effect on SBS and Rayleigh scattering in the backward pumped distributed fiber Raman amplifier

The amplification effect on stimulated Brillouin scattering （SBS） and Rayleigh scattering in the backward pumped G652 fiber Raman amplifier （FRA） is studied. The pump source is a 1427.2-nm fiber Raman laser whose power is tunable between 0 - 1200 mW, and the signal source is a tunable narrow spectral bandwidth （〈 10 MHz） external cavity laser （ECL）. The Rayleigh scattering lines are amplified by the FRA and Stokes SBS lines are amplified by the FRA and the fiber Brillouin amplifier. The total gain of SBS lines is the production of the gain of Raman amplifier and that of Brillouin amplifier. In experiment, the SBS gain is about 42 dB and the saturation gain of 25-km G652 backward FRA is about 25 dB, so the gain of fiber Brillouin amplifier is about 17 dB.     

S波段光纤拉曼放大器中级联受激布里渊散射串扰的实验研究

研究了光纤激光器前向抽运的S波段分布式光纤拉曼放大器中级联的受激布里渊散射(SBS)串扰现象。用窄光谱带宽(<100MHz)的可调谐激光二极管作为信号源,通过S波段分布式光纤拉曼放大器,当被放大的信号功率超过单模光纤受激布里渊散射的阈值时,出现了前向受激布里渊散射,这是传导声波布里渊散射在光纤放大器中放大的现象。随着拉曼放大器抽运功率的提高,在斯托克斯区,出现了两阶受激布里渊散射线,在实验中观测到偶数阶的受激布里渊散射谱线功率大于奇数阶的布里渊一瑞利散射线。当进一步增加拉曼放大器的抽运功率,出现了前向级联的多阶受激布里渊散射现象,拉曼放大器的增益下降,被放大的信号功率转换为受激布里渊散射,噪声变大。受激布里渊散射的串扰破坏了拉曼放大器的特性,使拉曼放大器无法在密集波分复用光纤传输系统中使用,因此需要严格地控制入纤的信号功率和放大器的抽运功率。在实验中还观测到在光纤拉曼放大器中被放大的信号光和受激布里渊散射线两侧的伴线。     

Numerical analysis of stimulated Brillouin scattering in high-power double-clad fiber lasers

A theoretical analysis of stimulated Brillouin scattering (SBS) in linear cavity Yb³⁺-doped double-clad fiber lasers is presented by solving the steady-state rate equations with the SBS. The effects of cavity length, fiber core diameter, input mirror reflectivity at Stokes wavelength, Yb³⁺ concentration and laser linewidth on the SBS are discussed. Numerical results show that the SBS threshold power can be improved by shortening the cavity length, using large mode area fiber, reducing the input mirror reflectivity at Stokes wavelength, lowering the Yb³⁺ concentration and broadening the laser linewidth, and the influence of the laser linewidth on the SBS threshold power is more noticeable than other system parameters.     

Full investigation of the backscattering in resonator fiber optic gyro

Resonator Fiber optic gyro (RFOG) is a high accuracy inertial rotation sensor based on the Sagnac effect. The optical fiber ring resonator (OFRR) is the key rotation sensing element. The backscattering characteristics of the OFRR are fully investigated. The Rayleigh backscattering dominates the backscattering spectrum with the input power below the threshold. High carrier suppression is crucial to reduce this Rayleigh backscattering error. Being different from the intrinsic Rayleigh scattering of the fiber, the stimulated Brillouin scattering (SBS) in the OFRR should be avoided. This is because the finesse and the resonance notch depth of the OFRR decrease for the pump depletion through the SBS process. The shot noise limited sensitivity (SLS) of the RFOG is improved by increasing the input power. Through analysis, it is found that the threshold input power is improved after phase modulation. The SLS of the RFOG is analyzed at different modulation parameters and its relevant SBS threshold. Accordingly, the optimized modulation frequency and the corresponding maximum input power are all obtained. A simple method of testing the frequency shift in the SBS is also proposed. In this method, the central frequency of the laser source is locked to the resonance frequency of the OFRR in one direction. A steady SBS light is observed and its frequency shift is measured together.     

Influence of stimulated Brillouin scattering on the temporal dynamics of an actively Q-switched double-clad fiber laser

The role of stimulated Brillouin scattering (SBS) during the active Q-switching of a typical high power double-clad fiber laser is experimentally and theoretically investigated. Our numerical model reproduces multiples Brillouin Stokes generation and the fast temporal dynamics which were experimentally observed. It clearly demonstrates that SBS is the cause of peak power enhancement effects such as giant pulse generation. The pulse formation process during the active Q-switching and the precise role of SBS in the pulse narrowing is detailed.     

Amplification effect on stimulated Brillouin scattering in the S-band forward G652 fiber Raman amplifier

The amplification effects on forward and backward stimulated Brillouin scattering (SBS) lines in the forward pumped S-band distributed G652 fiber Raman amplifier (FRA) have been studied. There is a pump threshold power of Stokes backward stimulated Brillouin scattering (B-SBS) line in the forward pumped G652 FRA, it is about 1 mW. The Stokes B-SBS lines are amplified by FRA and fiber Brillouin Brillouin gain. In experimental work, the saturation gain of the first order Stokes backward SBS line is about 58 dB and the saturation gain of 25-km G652 forward FRA is about 25 dB, so the gain of FBA is about 33 dB. The forward stimulated Brillouin scattering (F-SBS) is generated and amplified in S-band G652 FRA. The stimulated threshold powers of the forward first order Stokes SBS (SB1-), second order Stokes SBS (SB2-), and third order SBS (SB3-) in the forward pumped FRA are 2.3, 1.6, and 1.6 mW,respectively. In experimental work, the saturation gains of SB1-, SB2-, and SB3- are about 38, 62, and 60 dB, respectively. The saturation Raman gain of 25-km G652 forward FRA is about 8.8 dB, so the Brillouin gains of SB1-, SB2-, and SB3- are about 29.2, 53.2, and 51.2 dB, respectively. The forward and backward cascaded SBS lines have been observed.     

Phase conjugating mirror combining a fused silica rod and a fiber

A phase conjugating mirror combining a fused silica rod and an optical fiber is presented. This configuration combines a large diameter fused silica rod with a high laser damage threshold and an optical fiber with a low stimulated Brillouin scattering (SBS) threshold. The composed SBS generator-amplifier construction, similar to the two-cell type makes a forced SBS process, in which the Stokes beam reflected by the fiber is injected into the fused silica rod. Using this combined phase conjugating mirror in a laser-diode-pumped laser master oscillator power amplifier system, we obtained 42% SBS reflectivity at most at 100 Hz repetition rate. At the same time, the inverse beam quality parameter M(2) is reduced from 3 to 1.6, while at 400 Hz repetition rate, M(2) is reduced from 4 to 1.7.     

基于SBS效应激光波长对光学材料损伤的影响

从耦合波理论出发,采用纵向受激布里渊散射(SBS)模型,通过时域有限差分法数值求解了瞬态SBS耦合波方程组,得到了泵浦光、Stokes光强度及声波产生应力随时间的分布;研究了在三种常见波长激光(基频、倍频和三倍频)作用下SBS效应的发展过程及其对光学材料损伤过程的影响。结果表明:种子光作用主要体现在SBS起振阶段,一旦进入稳态阶段,Stokes光强及应力发展的最大值、稳态值依赖于泵浦光的大小;在相同脉冲宽度下,激光波长越短,SBS发生越早,发展越快,更易造成光学元件的力学损伤;三倍频激光产生最大应力为基频光产生最大应力的100倍,且相比于倍频激光,产生最大应力的时刻要提前15ns。     

Observation of inhomogeneous spectral broadening of stimulated brillouin scattering in an optical fiber

We report experimental results which show that the stimulated Brillouin scattering (SBS) spectrum in an optical fiber is inhomogeneous, exhibiting spectral broadening and hole burning under cw monochromatic laser excitation. This phenomenon arises from the waveguide interaction of the pump and Stokes signals and is a fundamental property of SBS in waveguiding systems due to their ability to confine a fan of radiation wave vector directions.     

反射光中Stokes成分对受激布里渊散射过程的影响

区别于传统的受激布里渊散射(SBS)发生器和放大器，提出了一种新型的SBS模型：自供种子光模型(self stokes seeding,SSS). 通过对抽运光波形函数的傅里叶变换得到了Stokes成分在抽运光中所占的比例，即Stokes能量比. 考虑SSS效应，数值求解了SSS耦合波方程组，得到了SBS反射率的时间演变形式，理论研究发现，当抽运光正入射到平板样品上时，反射光中的Stokes成分极大地促进了SBS起振过程，其结果相当于反向注入一定强度的种子光，而Stokes能量比的大小决定了SBS过程起振 关键词： 光学材料 受激布里渊散射 傅里叶分析 斯托克斯种子光     

单色光在损耗介质中激励的受激布里渊散射

研究了单色光在损耗介质中激励的受激布里渊散射，运用分布起伏噪声源模型描述了受激布里渊散射的产生过程，通过傅里叶变换，得到了输出斯托克斯光波的功率谱密度。     

Stimulated Brillouin scattering generation in ns pulsed double-cladding fiber amplifier

This paper proposes a study both in theory and experiment on the phenomenon of stimulated Brillouin scattering (SBS) in a double-cladding fiber amplifier. The distortion characteristic of the 200-ns is observed through a stationary coupled-wave SBS model including the second-order Stokes wave for double-cladding fiber amplifier. The first-order Stokes wave is amplified during backward propagation to such an intense peak power that it can generate second-order Stokes wave. The stochastic aspect of pulse distortion induced by SBS is also experimentally demonstrated in the single frequency 200 ns pulse amplifier with 12-m Yb³⁺ doped double-cladding fiber. The backward SBS pulse is observed when the pulse peak power is up to 3.3 W, and the pulse width of SBS is narrower than that of the input signal. In the meantime, to overcome the difficulty of the pulse spectrum measurement, a novel method is put forward to measure the SBS frequency shift using the F–P interferometer with free spectral rang of 30 G, showing a good agreement with the theoretical estimation. SBS is the main factor that limits the output pulse peak power in the amplification of the single-frequency pulse.     

Origin of temporally stable continuous-wave stokes emission in stimulated Brillouin scattering: evidence of spectral self-phase conjugation

We report results on the appearance of temporally stable Stokes emission in stimulated Brillouin scattering (SBS) excited by continuous-wave pump radiation in optical fiber. With increasing pump strength the stable component emerges from stochastic emission slightly above the SBS threshold to become the dominant contribution, independent of fiber characteristics. These findings are shown to be a manifestation of spectral self-phase conjugation, providing what is to our knowledge the first experimental evidence of this phenomenon in optics.     

脉冲泵浦掺镱双包层光纤激光器的动力学研究

对脉冲泵浦的掺镱双包层光纤激光器进行了实验研究.采用重复频率1-10 kHz、脉宽100 μs的976 nmLDs泵浦,实现了脉宽小于10 ns的稳定激光脉冲输出.并对该激光器的动力学过程进行了分析,首次提出了在脉冲泵浦光纤激光器中产生ns脉冲是瑞利散射和受激布里渊散射共同作用的结果.     

光纤中受激Brillouin散射动态弛豫振荡特性及其抑制方法

为了避免在高功率光纤放大器和光纤相位共轭镜等实际应用中因受激Brillouin散射（SBS）造成的光纤损伤,根据描述SBS动态弛豫振荡特性的振幅耦合方程,利用有限差分的数值模拟方法研究了光纤中SBS的动态弛豫振荡特性,并对其抑制进行了初步探讨.得到了光纤中SBS弛豫振荡在不同的脉冲上升时间的时空三维图;同时利用方波和脉冲光作抽运光进行了相应实验研究,实验结果与理论模拟结果符合很好.结果表明,增大抽运光脉冲上升时间可以有效抑制因SBS而产生的弛豫振荡,进而避免因其造成的光纤损伤. 关键词： 受激Brillouin散射 动态弛豫振荡特性 有限差分法     

Dynamics of Stimulated Brillouin Scattering in a Short and High-Finesse Fiber Fabry-Perot Resonator

We theoretically investigate the dynamics of stimulated Brillouin scattering (SBS) in a short fiber Fabry-Perot resonator with reflection mirrors. The analysis is based on the coherent six-wave model including an optical Kerr effect and the linear cavity detunings for the pump and created Stokes waves are taken into account in the formulation. The instabilities including periodic, quasi-periodic and chaotic oscillations can occur owing to the Kerr effect even if the fiber resonator is so short as to ensure a single longitudinal-mode operation. The threshold power for SBS and the boundary power between the stable and unstable regions are numerically calculated as a function of the amplitude reflectance of mirrors for different cavity detunings. The dynamics of SBS and these two critical powers depend on the amplitude reflectance and the cavity detuning. Although an increase in the mirror reflectance decreases the threshold power for SBS, it may limit the utility of SBS since the stable region is narrow and the output power levels of the pump and Stokes waves are low.     

Brillouin-Raman comb fiber laser with cooperative Rayleigh scattering in a linear cavity

We demonstrate a multiple-wavelength Brillouin comb laser with cooperative Rayleigh scattering that uses Raman amplification in dispersion-compensating fiber. The laser resonator is a linear cavity formed by reflector at each end of the dispersion-compensating fiber to improve the reflectivity of the Brillouin Stokes comb. Multiple Brillouin Stokes generation has been improved in terms of optical signal-to-noise ratio and power-level fluctuation between neighboring channels. Furthermore, the linewidth of the Brillouin Stokes is uniform within the laser output bandwidth.     

Generation of multiorder Stokes and anti-Stokes lines in a Brillouin erbium-fiber laser with a Sagnac loop mirror

We have demonstrated a novel multiwavelength lasing scheme in which a Brillouin erbium-fiber laser with a Sagnac loop mirror and a metal-coated planar mirror were used. The Sagnac loop permitted the simultaneous presence of a stimulated Brillouin scattering (SBS) pump and Stokes lines within the loop and thus generated high-order Stokes and anti-Stokes waves through a four-wave mixing (FWM) process. A total of 34 lines of Stokes and anti-Stokes waves with 0.08-nm line spacing was generated through the SBS and FWM processes with 1.5-mW SBS pump power at 1561 nm and 80-mW erbium-doped-fiber pump power.     

On the nature of optically controlled delay of a stokes pulse amplified by stimulated Brillouin scattering in optical fiber

In this work we show through an analytic solution of the set of two coupled dynamic equations for the slowly varying amplitudes of the Stokes optical field and material density in stimulated Brillouin scattering (SBS), its analysis and a set of experiments, that the SBS-induced delay of an output Stokes pulse which is amplified by the SBS interaction is due exclusively to the inertia of the acoustic wave excitation.     

抽运光参数对受激布里渊散射的影响

受激布里渊散射（SBS）系统中,具有一定带宽的抽运激光中会含有一定比例的Stokes散射光成分，此Stokes散射光成分经SBS介质后表面反射后，将形成种子光与抽运光联合入射，构成自种子光式SBS放大器.通过数值求解此SBS放大器型耦合波方程组，探讨了抽运光脉冲中所含Stokes散射光成分的比例、抽运激光波长、抽运光能量大小、入射的聚焦高斯光脉冲脉宽、相互作用时间等激光参数对SBS特征参数（Stokes散射光脉冲波形、材料内部最大应力的时间演化及空间分布、脉宽压缩效果、能量提取效率及Stokes散射光的共轭保真度）的影响.同时发现，SBS过程中产生的超声应力不仅会对SBS介质前表面造成破坏，还可能对焦点附近造成破坏；调整各激光参数还会使焦点附近优于前表面先破坏.数值模拟中采用的抽运光是聚焦高斯光束. 关键词： 受激布里渊散射 斯托克斯散射光 冲击应力 能量反射率