光纤光栅法布里-珀罗腔的腔、栅边缘特性分析

把组成光纤光栅法布里-珀罗腔的两个光纤光栅的初相位纳入了讨论范围,用耦合波方程推导了任意初相位下光纤光栅法布里-珀罗腔的透射和反射率的表达式.其中的相位因子包含了由光传播常数调制的腔长、光纤光栅的相位突变、光纤光栅仞相位和由光纤光栅空间频率涮制的光栅长度等四部分.分析了光纤光栅初相、由光栅空间频率调制的光栅长度两个因子对反射谱的影响,并提出了一种把光纤光栅法布里-珀罗腔等效为理想法布里-珀罗腔的方法.     

光纤光栅法布里-珀罗腔透射特性的理论研究

推导了光纤光栅法布里－珀罗腔强度透射率的解析表达式,理论上研究了这种腔的透射特性,并同普通法布里－珀罗腔做了比较;讨论了光纤光栅法布里 罗腔单模输出阈值腔长与光纤光栅长度和反射率之间的关系。     

光纤布拉格光栅法布里-珀罗腔纵模特性研究

分析了光纤布拉格光栅构成的法布里-珀罗（F-P）腔的透射谱特性，讨论了光栅带宽，反射系数相位因子以及腔长对F-P腔透射特性的影响，并对F-P腔随温度和应变的特性进行了分析，然后给出如何设计在光栅中心耦合波长处单模运转的法布里-珀罗腔.并提供了数值模拟结果和实验结果. 关键词： 光纤布拉格光栅 法布里-珀罗（F-P）腔 光纤激光器     

用于光纤布拉格光栅法布里-珀罗腔的改进的Rouard算法

比较了光纤布拉格光栅法布里一珀罗腔的极限法、平衡法及传输矩阵法3种算法,证明了它们是一致的,指出了光纤布拉格光栅复振幅传输矩阵的相移特性对法布里一珀罗腔透射率的影响.对计算任意折射率调制的光纤布拉格光栅的Rouard算法进行了改进,在分层方法中考虑了折射率分布初始相位的影响,获得了更为准确的反射复振幅相位特性,将该结果应用于计算光纤布拉格光栅法布里一珀罗腔,得到了光纤布拉格光栅法布里一珀罗腔具有多峰结构的透射谱,并经过实验验证了该理论的正确性.     

相位修正的耦合模理论用于计算光纤Bragg光栅法布里-珀罗腔透射谱

基于光纤Bragg光栅(FBG)反射复振幅相移对FBG法布里-珀罗腔透射谱的影响,分析了传统耦合模理论计算均匀FBG反射复振幅相移产生误差的原因.引入折射率分布初始相位参数描述FBG折射率分布纵向的微小偏移,用真实的反透射系数代替简明形式的反透射系数,对传统耦合模理论进行了修正,增加了与折射率分布初始相位参数有关而与波长无关的相位因子.在此基础上进一步对计算非均匀FBG的传输矩阵法的相位进行了修正.修正后的快速计算结果用于FBG法布里-珀罗腔透射谱的计算,可反映折射率分布初始相位参数对透射峰波长位置的影响,与Rouard 算法及实验值均有较好的一致性. 关键词： 光纤Bragg 光栅 法布里-珀罗腔 耦合模理论     

光纤光栅法布里-珀罗传感器频分复用技术

理论分析了光纤光栅法布里-珀罗(F-P)传感器频分复用技术的原理,并给出了信号处理对腔长选取的要求。数值模拟结果表明,不同腔长的传感器具有不同的谐振条纹频率,为保证频域中的信号不发生重叠,要求不同光纤光栅法布里-珀罗传感器间的腔长之差必须大于光纤光栅的长度。进一步的实验及模拟分析结果发现,温度等待测量的变化仅仅使光纤光栅法布里-珀罗传感器的反射光谱整体平移,相应的频域信号只产生相移而形状不发生变化,因而不能采用普通光纤法布里-珀罗(FFP)传感器的腔长傅里叶变换解调法解调频分复用光纤光栅法布里-珀罗传感器的信号。根据这一特点,提出了利用自相关分析实现频分复用传感器系统信号解调的方案。     

一种同时测量电流和温度的光纤光栅传感器

提出了一种基于光纤光栅法布里-珀罗干涉仪且可以同时测量交变电流和温度的传感器,并对其进行了理论分析和实验研究.该传感器采用单频激光入射,作为反射镜的一对光纤布喇格光栅自由放置,其间的法布里-珀罗腔粘贴在磁致伸缩材料上,通电导线周围的磁场通过磁致伸缩材料作用于光纤光栅法布里-珀罗腔,引起腔长周期性变化.同时,由于热膨胀和热光效应,环境温度的变化会引起光纤长度和折射率的改变,从而改变光纤光栅法布里-珀罗腔的反射光谱特性.通过检测输出光信号的频率和峰值可实现电流和温度的同时测量.对通电线圈的电流及环境温度进行测量的实验结果与理论分析相吻合.     

一种同时测量电流和温度的光纤光栅传感器

提出了一种基于光纤光栅法布里-珀罗干涉仪且可以同时测量交变电流和温度的传感器,并对其进行了理论分析和实验研究.该传感器采用单频激光入射,作为反射镜的一对光纤布喇格光栅自由放置,其间的法布里-珀罗腔粘贴在磁致伸缩材料上,通电导线周围的磁场通过磁致伸缩材料作用于光纤光栅法布里-珀罗腔,引起腔长周期性变化.同时,由于热膨胀和热光效应,环境温度的变化会引起光纤长度和折射率的改变,从而改变光纤光栅法布里-珀罗腔的反射光谱特性.通过检测输出光信号的频率和峰值可实现电流和温度的同时测量.对通电线圈的电流及环境温度进行测量的实验结果与理论分析相吻合.     

对光纤布拉格光栅法布里-珀罗腔纵模间隔问题的研究

对光纤布拉格光栅(FBG)法布里-珀罗(F-P)腔的透射特性进行了深入分析,指出了FBG F-P腔透射谱中纵模位置的影响因素,讨论了与普通F-P腔的联系和区别.应用光栅的有效镜面模型对FBG反射主瓣内反射系数的相位因子进行线性模拟,定义了FBG有效长度的概念并得出其表达式.提出将FBG的有效长度纳入到FBG F-P腔的等效腔长中,用等效腔长来计算FBG F-P腔中的纵模间隔.数值仿真和实验结果都表明,用等效腔长计算所得的纵模间隔与实际的FBG F-P腔中的纵模间隔符合很好,误差极小. 关键词： 光纤布拉格光栅 法布里-珀罗腔 纵模间隔 有效镜面模型     

一种全光纤型窄带梳状滤波器的特性分析

分析了由双光纤定向耦合器组成的梳状滤波器的透射特性。根据传输矩阵,推导出了该滤波器的输出光谱与有关参数之间的关系式。分析结果表明:该滤波器具有法布里_珀罗腔多光束干涉的特点,是一种窄带宽梳状滤波器;耦合器的耦合系数与法布里_珀罗腔中的反射率类似,通过控制耦合系数可以调节滤波器的通带半宽度、消光比、隔离度、输出光强等。     

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.     

Cavity enhanced stimulated Brillouin scattering in an optical chip for multiorder Stokes generation

We report the first demonstration of on-chip cascaded stimulated Brillouin scattering (SBS). Cascaded SBS is characterized in a 4 cm long chalcogenide (As?S?) rib waveguide where the end facet reflections provide a monolithic Fabry-Perot (FP) resonator. The presence of the FP cavity reduces the Brillouin gain threshold, which enables observation of cascaded SBS at reduced pump powers. We observe up to three orders of Stokes waves in the backscattered signal at a coupled peak power of 1.34 W. Anti-Stokes waves due to four-wave mixing between the pump and the Stokes wave were observed in the forward spectrum.     

An approximate analytic solution of the steady state Brillouin scattering in single mode optical fiber without neglecting the attenuation coefficient

The analysis of steady state Brillouin scattering in a long single mode optical fiber is presented. Meanwhile, an approximate analytical functions of distributed Brillouin scattering and pump wave along the fiber with the fiber attenuation coefficient are obtained for the first time. A comparison is made among the analytical solutions with the attenuation coefficient, the analytical solutions without the attenuation coefficient and the exact numerical solutions. The results show that the analytical solutions with fiber attenuation coefficient are more close to the numerical solutions, which can be used to describe the power distribution of the pump wave and the Stokes wave along the long distance single mode optical fiber accurately.     

Two-Frequency Brillouin Fiber Laser Based on Bragg Grating Fabry-Perot Cavity

A novel and simple two-frequency Brillouin fiber laser is presented. It is based on a fiber Fabry-Perot cavity with fiber Bragg gratings as reflectors. The model of stimulated Brillouin scattering in fiber grating-based Fabry-Perot resonator is investigated. The laser allows conversion efficiency of close to 100% and suppresses the higher-order Stokes waves. The theoretical prediction is presented and the experimental demonstration is realized.     

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。     

Two-Frequency Brillouin Fiber Laser Based on Bragg Grating Fabry-Perot Cavity

Abstract

A novel and simple two-frequency Brillouin fiber laser is presented. It is based on a fiber Fabry-Perot cavity with fiber Bragg gratings as reflectors. The model of stimulated Brillouin scattering in fiber grating–based Fabry-Perot resonator is investigated. The laser allows conversion efficiency of close to 100% and suppresses the higher-order Stokes waves. The theoretical prediction is presented and the experimental demonstration is realized.     

Modeling of Multi-Wavelength Brillouin Fiber Laser Based on Analytical Solutions in a Linear Cavity

Abstract

In this article, an accurate model of multi-wavelength Brillouin fiber laser is developed by analytically solving cascade-stimulated Brillouin scattering equations in a linear cavity. The dependence of Stokes signal power on the incident pump power and the successive reflected transmitted powers is calculated. Furthermore, an analytical approach that can be used to predict the generated Stokes signals power is derived. Finally, this derived model is checked with experimental results that show significant agreement with the analytical solution of the model.     

Multi-wavelength Brillouin-Raman ring-cavity fiber laser with 22-GHz spacing

We experimentally demonstrate a multi-wave length Brillouin-Raman fiber laser configured in a ring-cavity resonator. Interactions between stimulated Brillouin scattering and Raman amplification in a dispersion compensating fiber, attributed to the generation of 16 output channels at injected Raman pump unit power of 650 mW and Brillouin pump power of 2.0 mW. The first output channel has a peak power of 14.8 mW. By discriminating the even-order Brillouin Stokes signals from circulating in the resonator, the generated output channels were found to have wavelength spacing of ∼22 GHz. The output channels were also found to have average optical signal-to-noise ratio value of 11.7 dB.     

大功率单频多芯光纤放大器中抑制受激布里渊散射的分析

针对多芯光纤完善了描述抽运光、信号光和Stokes信号的速率方程组.考虑了温差对受激布里渊散射的影响,利用有限元法求解温度分布方程组,分析了前向和后向抽运方式、对流系数、Stokes初始功率、光纤掺杂粒子密度和光纤长度对受激布里渊散射增益的影响.研究表明：后向抽运方式在抑制受激布里渊散射方面具有明显优势;减小对流系数有助于抑制受激布里渊散射;提高光纤掺杂密度能够加强抑制受激布里渊散射,同时也有助于提高光纤放大器的斜率效率.比较了在相同最佳光纤长度条件下,单芯和19芯光纤放大器的最高工作温度和受激布里渊散射 关键词： 光纤放大器 受激布里渊散射 大功率 有限元法     

Means for easy and accurate measurement of the stimulated Brillouin scattering gain coefficient in optical fiber

We propose and investigate an accurate method for the experimental measurement of the stimulated Brillouin scattering gain coefficient in optical fiber. The gain is extracted from measuring the transmitted pump power at the threshold of stimulated Brillouin scattering (SBS) laser oscillation in a Fabry-Perot cavity formed by Fresnel reflection at the fiber ends. The method is free from a range of uncertainties and difficulties of commonly used approaches and is easy to implement. Experimental evidence of the variation of the SBS gain coefficient with numerical aperture of the fiber, first predicted in [Phys. Rev. Lett. 85, 1879 (2000)], is proven.