A spectral collocation algorithm for two-point boundary value problem in fiber Raman amplifier equations

A novel algorithm implementing Chebyshev spectral collocation (pseudospectral) method in combination with Newton’s method is proposed for the nonlinear two-point boundary value problem (BVP) arising in solving propagation equations in fiber Raman amplifier. Moreover, an algorithm to train the known linear solution for use as a starting solution for the Newton iteration is proposed and successfully implemented. The exponential accuracy obtained by the proposed Chebyshev pseudospectral method is demonstrated on a case of the Raman propagation equations with strong nonlinearities. This is in contrast to algebraic accuracy obtained by typical solvers used in the literature. The resolving power and the efficiency of the underlying Chebyshev grid are demonstrated in comparison to a known BVP solver.     

Solid-core photonic crystal fiber as a Raman spectroscopy platform with a silica core as an internal reference

We show that solid-core photonic crystal fiber (PCF) is a promising platform for evanescent-field Raman spectroscopy of low-volume analytes. The Raman peak ratio of a silica core as a background to acetonitrile solution as analyte contained in the air holes maintains a constant value despite varying laser power and fiber length in a set of measurements. The Raman signal from the silica core can be used to eliminate the need to account for the coupling losses. These results demonstrate the feasibility of quantitative measurements using PCF as a Raman platform with silica as an internal reference. In addition, integrated Raman intensity increases with the length of the PCF due to long path length of light.     

Broadband tunable Raman soliton self-frequency shift to mid-infrared band in a highly birefringent microstructure fiber

Raman soliton self-frequency shifted to mid-infrared band(λ 2 μm) has been achieved in an air-silica microstructure fiber(MF). The MF used in our experiment has an elliptical core with diameters of 1.08 and 2.48 μm for fast and slow axis. Numerical simulation shows that each fundamental orthogonal polarization mode has two wide-spaced λZDW and theλZDW pairs located at 701/2110 nm and 755/2498 nm along the fast and slow axis, respectively. Using 810-nm Ti:sapphire femtosecond laser as pump, when the output power varies from 0.3 to 0.5 W, the furthest red-shift Raman solitons in both fast and slow axis shift from near-infrared band to mid-infrared band, reaching as far as 2030 and 2261 nm. Also, midinfrared Raman solitons can always be generated for pump wavelength longer than 790 nm if output pump power reaches0.5 W. Specifically, with pump power at 0.5 W, the mid-infrared soliton in slow axis shifts from 2001 to 2261 nm when the pump changes from 790 nm to 810 nm. This means only a 20 nm change of pump results in 260 nm tunability of a mid-infrared soliton.     

光纤拉曼放大器中增益的偏振相关特性研究

提出了一种改进的、可用于计算偏振相关拉曼增益的光纤拉曼放大器的非线性耦合波方程。建立了单模双折射光纤拉曼增益的数学模型,分析了线偏振抽运光以与光纤快轴成45°激励的单模双折射光纤拉曼放大器模型与实际具有随机双折射的光纤拉曼放大器的拉曼增益偏振相关特性的等价性。基于上述模型,提出了一个可定量表征单模光纤偏振模色散统计特性的拉曼增益偏振相关因子,用以替代常规的光纤拉曼放大器非线性耦合波方程中的偏振相关因子。计算结果与已报道文献的实验数据非常吻合。同时对抽运增益在同向和反向抽运方式下截然不同的增益偏振相关特性给出了合理的解释。     

Gain ripple minimization in fiber Raman amplifiers based on variational method

In this paper, the variational method is employed for minimizing the gain ripple of multi-wavelength fiber Raman amplifiers. The variance of gain spectrum of the fiber Raman amplifier is regarded as the cost function, restriction on total pump power and average gain is given as the constraints of the minimization problem. It is shown that the minimization problem with any necessary constraints on the pump powers, average gain and signal to noise ratio, is reduced to a two-point boundary value problem. The method gives the entire possible local and global solutions. The method is applied to different examples of fiber Raman amplifiers with different lengths from 25 km to 100 km and different numbers of pumps from 4 to 20 to determine the pump powers and wavelengths for minimum gain ripple. It was obtained for a 100 km fiber Raman amplifier the gain ripple can be about 0.1 dB with on-off gain more than 20 dB.     

Raman spectroscopy based on a single-crystal sapphire fiber

We demonstrate the advantages of using a single-crystal sapphire fiber to perform Raman spectroscopy over using a standard glass fiber. The narrow Raman peaks and the low background signal of a single-crystal sapphire fiber allow for the detection of weaker Raman signals or Raman signals much closer to the incident laser wavelength than with a standard glass fiber, which has a strong broadband Raman spectrum of its own. The Raman spectra of calcite, single-walled carbon nanotubes, and aqueous sodium carbonate solution were collected using a 50 cm long, 200 μm diameter sapphire fiber, and then they were compared with the results using a 50 cm long, 100 μm diameter glass fiber. The Raman spectrum of each tested material becomes indistinguishable due to the background Raman signal of the glass fiber but can easily be seen using the sapphire fiber, which has only a few narrow Raman peaks of its own.     

基于空芯微结构光纤拉曼探针的实验研究

表面增强拉曼散射(SERS)技术可有效增强样品分子的拉曼信号,对生物分子检测具有较高的灵敏性,因此在生化方面有着许多潜在的应用.而将空芯微结构光纤与SERS技术相结合不仅能够远端实时、分布式地检测,同时还可以增加光场与待测物的有效作用面积,减少传统光纤探针无法避免的石英背景信号等问题.本文基于空芯微结构光纤进行SERS探针的制备及性能测试研究,利用真空物理溅射法在空芯光纤内镀纳米Ag膜,从而制备成SERS探针,通过实验检测不同浓度的罗丹明6G (R6G)酒精溶液的拉曼信号.结果表明,在探针的近端正面成功探测到了浓度低至10~(-9)mol/L的R6G拉曼信号,在探针的远端反面探测到的浓度可小于10~(-6)mol/L.该实验结果为研究高灵敏度的SERS探针提供了一种新的手段.     

微腔型银修饰光纤SERS探针的制备及性能研究

提出了一种基于银修饰的微腔型光纤表面增强拉曼散射（SERS）探针,采用湿法检测,将光纤SERS探针直接放入待测溶液中,以罗丹明6G（R6G）溶液为探针分子,对所制备的光纤SERS探针进行远端实验性能研究。利用氢氟酸化学腐蚀的方法制备了一种微腔型光纤结构,通过控制氢氟酸的腐蚀时间得到了一系列不同腐蚀时间、不同微腔长度的光纤结构。实验研究了光纤结构的微腔长度对光纤SERS探针性能的影响,以浓度为10-3 mol·L-1的R6G溶液为探针分子,通过不断地优化纳米银溶胶与R6G溶液的混合顺序及比例,采用裸光纤微腔结构对混合溶液进行拉曼检测,发现当混合溶液的混合顺序及比例为先后混合等体积的纳米银溶胶和R6G溶液时,此时得到的混合溶液的拉曼信号增强性能最佳。利用得到的混合溶液去寻找拉曼信号增强效果最高时光纤微腔结构的结构参数,实验结果表明,在相同的实验条件下,当光纤放入氢氟酸中腐蚀时间为5 min时,此时光纤微腔结构的拉曼信号增强效果最佳。在显微镜下测量的多组腐蚀时间为5 min的光纤,其微腔长度平均约为81 μm。对得到的光纤微腔结构,采用制备过程可控的磁控溅射技术制备了一系列银纳米薄膜/多模光纤（Ag/MMF）的复合材料。当磁控溅射时间为10 min时,获得了光纤SERS探针（Ag/MMF-10）。实验以去离子水配制了不同浓度的R6G溶液,以不同浓度的R6G溶液为探针分子,Ag/MMF-10探针的远端检测限（LOD）低至10-7 mol·L-1。该光纤SERS探针拉曼信号的再现性光谱检测中显示各个特征峰的相对标准偏差（RSD）均小于10%。同时,该光纤SERS探针对浓度为10-6 mol·L-1的R6G溶液的增强因子（AEF）可高达2.64×106。实验结果表明所制备的银修饰的光纤SERS基底具有较高的灵敏度和良好的再现性。因此,该光纤SERS探针在生物医学检测、农残化学分析等痕量检测方面有潜在的应用价值。     

黄藤细胞壁微纤丝取向偏振光拉曼光谱研究

采用532 nm共聚焦显微拉曼光谱技术原位状态下研究了黄藤藤茎纤维及导管细胞壁中纤维素微纤丝空间取向差异。在高数值孔径（NA=1.25）物镜测试条件下,C-H伸缩振动（2 771~3 000 cm-1）特征峰峰面积拉曼成像成功的区分出细胞角隅、复合胞间层以及次生壁。进一步发现纤维细胞次生壁呈宽窄交替的同心层状结构,而导管次生壁无明显的分层结构。采用平行于细胞径向壁的拉曼偏振激光进行光谱成像发现纤维细胞次生壁窄层纤维素C-O-C（1 097 cm-1）拉曼信号强度明显高于宽层,即窄层中微纤丝取向更加平行于入射激光偏振方向,与细胞轴夹角更大,而导管次生壁中微纤丝取向较为均一。细胞壁不同形态区域拉曼光谱分析发现纤维素C-O-C特征峰以及CH和CH₂特征峰的拉曼信号强度与入射激光的偏振方向存在明显的相关性。当入射偏振激光的电矢量方向从平行变化到垂直于微纤丝方向时,其糖苷键C-O-C非对称伸缩振动信号减弱,而CH和CH₂的取向在与入射偏振激光的电矢量方向垂直时,其拉曼信号强度相较于平行状态略微降低,表明纤维素特征峰中的糖苷键C-O-C的非对称伸缩振动比CH和CH₂伸缩振动对拉曼偏振光的方向改变更为敏感。比较纤维细胞宽层与窄层的拉曼光谱发现径向次生壁窄层1 097 cm-1处拉曼信号强度明显高于弦向次生壁窄层,而径向次生壁宽层的2 897 cm-1处拉曼信号强度低于弦向次生壁宽层。拉曼特征峰比值（I_{1 095}/I_{2 897}）可用来定性研究细胞壁微纤丝角,结果发现这一比值在导管次生壁、纤维细胞窄层和纤维细胞宽层中分别为1.32~1.10,0.92~0.55和0.42~0.33,表明导管次生壁具有最大的微纤丝角,纤维细胞窄层次之,宽层最小。该研究为解析藤材细胞壁骨架空间结构、化学成分分布以及微力学特性提供了新型的分析手段和重要的理论指导。     

Soliton self-frequency shift decelerated by self-steepening

Self-steepening of ultrashort light pulses is shown to reduce the soliton self-frequency shift (SSFS) induced by the Raman effect in an optical fiber. We derive an analytical expression for the SSFS that conserves the number of photons and allows the SSFS to be calculated for arbitrary frequency profiles of fiber dispersion and Raman gain without a numerical solution of the pulse evolution equation. The accuracy of this analytical approach to SSFS calculation is tested by numerical simulations based on the generalized nonlinear Schr?dinger equation.     

拉曼效应对低双折射光纤偏振态的影响

在准连续情况下, 通过求解低双折射光纤中含有拉曼效应的右旋与左旋圆偏振光所满足的耦合非线性薛定谔方程,着重研究了低输入功率和高输入功率情形在加入拉曼效应前后, 有效偏振拍长和输入功率的变化关系. 结果表明: 无论入射光的偏振是沿着慢轴或沿着快轴, 拉曼效应均改变了入射光偏振态演变的周期, 同时改变了入射光的传输距离.     

Raman fiber laser pumped by a semiconductor disk laser and mode locked by a semiconductor saturable absorber mirror

A 1.6μm mode-locked Raman fiber laser pumped by a 1480nm semiconductor disk laser is demonstrated. Watt-level core pumping of the single-mode fiber Raman lasers with low-noise disk lasers together with semiconductor saturable absorber mirror mode locking represents a highly practical solution for short-pulse operation.     

Research on Raman spectrum in liquid core optical fiber of CCl4 solution

The Raman spectrum intensity can be enhanced in liquid core optical fiber (LCOF) of CCl4 solution.We dissolved liquid CCl4 into CS2 and got solutions of different concentrations. There is an optimum concentration at which the maximum Raman intensity can be obtained. There exists an optimum fiber length of 2 m. The experimental result is in good agreement with the theoretical calculation. The Raman intensity becomes powerful with the increase of the pump power and Raman linewidth becomes narrower with the decrease of the CCl4 concentration.     

激光诱导金纳米棒图案化光纤SERS探针

研究了激光诱导沉积制备光纤表面增强拉曼散射(SERS)探针,并对探针的SERS性能进行检测。探讨光纤探针制备过程中金纳米棒溶液的浓度对探针灵敏度的影响。结果表明,将不同浓度的金纳米棒溶液进行激光诱导,在光纤端面会形成金纳米棒团簇和分散两种纳米结构。金纳米棒溶液的浓度、激光功率、诱导时间等因素都会对诱导沉积图案产生影响。实验利用功率为5 mW的激光进行诱导,在1.5×10^-9, 1.0×10^-9和7.5×10^-10 mol·L^-1的金纳米棒溶液中,经5 min沉积,制备出不同图案的光纤SERS探针。采用晶种法合成金纳米棒,用透射电子显微镜(TEM)观察金纳米棒形貌,并根据TEM图像分析计算了合成金纳米棒的长径比约为3.8。用扫描电子显微镜(SEM)观察金纳米棒的形貌以及激光诱导沉积后的纤维修饰端形貌,7.5×10^-10 mol·L^-1的金纳米棒溶液进行激光诱导,金纳米棒在光纤端面分布较为分散,而1.5×10^-9和1.0×10^-...     

微流芯片中消逝波激励的荧光辐射特性研究

将石英裸光纤植入聚二甲基硅氧烷基片的微流道中,采用沿光纤轴向光抽运、消逝场激励染料分子的方式,在基片微流道中获得均匀的荧光辐射.实验发现,荧光辐射的强度随光纤轴向距离的增加而衰减,光纤包层溶液折射率越大,荧光沿光纤轴向的衰减越突出;包层溶液中染料浓度越大,荧光沿光纤轴向的衰减也越突出;通过选择适当的包层溶液折射率以及染料浓度可以获得沿光纤轴向接近均匀的荧光辐射.用消逝波激励荧光的辐射理论计算了荧光光强沿光纤轴向的变化,计算结果与实验符合较好.在此基础上,设计并制作了一种具有三个通道的聚二甲基硅氧烷基片,通过在三个微流道中分别注入染料浓度均为0.1 mmol的罗丹明640、罗丹明B及罗丹明6 G的乙醇染料溶液,采用沿光纤轴向消逝波光激励方式,在一块聚二甲基硅氧烷基片上同时实现了三个不同波段的荧光辐射.     

拉曼效应与光孤子通信

光纤孤子通信是一种非线性全光通信,它克服了光纤色散和电子设备响应速度慢等缺点,具有不损失波形,不改变速度,保真度高等优点。在光孤子通信中,一些重要问题是由 Raman 效应来解决的。如光纤受激 Raman 放大是根据光纤中的受激 Raman 效应对光孤子进行能量补偿。本文较为系统地介绍 Raman 效应与光孤子通信。     

High power linearly polarized Raman fiber laser at 1120 nm

An all-fiber linearly polarized Raman fiber laser at 1120 nm is demonstrated. With a 1 070-nm linearly polarized Yb-doped fiber laser as pump source, an output of up to 7.7 W at 1120 nm is obtained with an optical efficiency of 55%. The polarization extinction ratio of the linearly polarized Raman fiber is higher than 18 dB. A numerical simulation model is developed to determine the Raman coefficient of the gain fiber and to evaluate the laser performance. The spectral isolation between the Raman fiber laser and the pump fiber laser is determined to be necessary for further improvements of performance.     

亚微米直径光纤的非线性特性研究

用电磁场的严格解分析了亚微米直径光纤的非线性系数,发现光纤直径在700 nm左右（亚微米量级）非线性系数较大,喇曼阈值较小,喇曼增益谱线较多;受激喇曼散射特性的分析表明,由于直径小,光纤在较小的泵浦光功率作用下能量密度就很大,因此很容易观察到受激喇曼散射.实验结果表明,理论分析与实验结果吻合得很好.     

级联掺磷光纤喇曼激光器的解析优化

讨论了二级级联喇曼光纤激光器的解析解和优化设计.通过引入几何平均功率、增益因子和归一化光纤有效长度,将描述泵浦光和斯托克斯光沿喇曼增益光纤分布的微分方程组简化成代数方程组,在对泵浦光采用线性传播近似后,获得了二级级联喇曼激光器的解析解.所获得的解析解同数值模拟结果吻合得很好.利用该解析解可方便和快速地讨论级联喇曼激光器的优化设计,计算不同泵浦功率下的最佳光纤长度、输出光纤光栅反射率和转换效率.泵谱功率越大,最佳光纤长度越短,最佳输出光纤光栅反射率越小.     

在同种光纤中实现RFA增益平坦化的方法

提出了一种新的光纤拉曼放大器设计方法:在同一种光纤内运用不同波长的泵浦光源达到前增益后补偿的目的,最终实现在放大器输出端信号光增益谱平坦化。通过对拉曼增益谱前后沿做线性化处理,化简稳态SRS耦合波方程的解析解,最终在输出端得到了一个固定的功率输出值。模拟结果表明:所设计的放大器具有增益平坦度好、增益高的优点,且设计方法简单。该方案为增益平坦化的拉曼光纤放大器设计提供了一种新的思路。