Hilbert空间的正交序列与Kubert恒等式

主要讨论了与Kubert恒等式有关的一些积分性质以及Hilbert空间中的正交序列与Kubert恒等式之间的关系,并给出利用这些关系来构造Hilbert空间中几个具体的正交序列.     

Self-mixing interferometry based on nanometer fringes and polarization flipping

Self-mixing interferometry (SMI) based on nanometer fringes and polarization flipping is realized. The interferometer comprises a single-mode He-Ne laser and a high-amplitude reflectivity feedback mirror. The nanometer fringes are obtained by tilting the external feedback mirror. The fringe density is 35 times higher than that derived with conventional two-beam interference, and each fringe corresponds to a λ/70 displacement in external cavity length. Moreover, polarization flipping occurs when the external feedback mirror moves in the opposite direction. Such movement can be used to easily distinguish displacement direction. Experimental results show an optical resolution of displacement measurement of 9.04 nm with a range of 100 μm. The proposed SMI presents promising application prospects in precisely measuring displacement and calibrating other micro-displacement sensors because of its optical wavelength traceability.     

吡啶基双苯并咪唑的合成及其荧光性能

以多聚磷酸(PPA)为催化剂和溶剂,氮气保护下,吡啶基芳香二酸与邻苯二胺经缩合反应合成了三个新的吡啶基双苯并咪唑化合物(2a~2c),其结构经¹H NMR, ¹³C NMR, FT-IR和元素分析表征。2a~2c的固体荧光发射波长分别为473 nm, 427 nm和453 nm。     

基于SR-WAXS技术的竹材纤维素晶胞模型研究

竹材中纤维素聚集态结构的不同,将直接影响到竹纤维复合材料性能,对于竹材纤维素晶胞单元的认识主要基于Meyer-Misch模型,由于天然纤维素的同质异构体,在每种植物中存在比例不同,所以竹材中纤维素应有其特有的晶胞模型。以毛竹(Phyllostachys edulis (carriere) J. Houz)为研究对象,通过同步辐射广角X射线散射技术对毛竹纤维素晶胞模型进行研究,利用单斜晶系晶面间距公式与毛竹纤维素衍射峰,精确计算晶胞模型。结果显示,若以b轴为纤维轴的单斜晶系纤维素单元,则晶胞参数为：a=8.35 ,b=10.38 ,c=8.02 ,β=84.99°,该晶胞包含四个葡萄糖基,由两条反向平行分子链构成。研究结果可为开发制作高性能竹纤维复合材料等高附加值应用提供理论依据。     

Applications of quantum Fourier transform in photon-added coherent state

Quantum Fourier transform is realized by the Hadamard gate in a quantum computer, which can also be considered as a Hadamard transform. We introduce the Hadamard transformed photon-added coherent state （HTPACS）, which is obtained by letting the photon-added coherent state （PACS） across the quantum Hadamard gate, from this result. It is found that the HTPACS can be considered as a coordinate-momentum mutual exchanging followed by a squeezing transform of the PACS. In addition, the non-classical statistical properties of HTPACS, such as squeezing coefficient, Mandel parameter, etc., are also discussed.     

Polarization switching in a quasi-isotropic microchip Nd:YAG laser induced by optical feedback

This paper demonstrates the influence of external optical feedback on the polarization state of longitudinal modes in quasi-isotropic microchip Nd:YAG lasers. Under optical feedback, the polarization state of longitudinal modes in quasi-isotropic lasers relies strongly on the intracavity anisotropy loss and mode competition. When the intracavity anisotropy loss is small, external optical feedback can cause polarization switching and strong mode competition between two orthogonal linearly polarized eigenstates of one laser longitudinal mode, which leads to the distortion of laser intensity modulation waveform. The polarization switching is independent of the initial external cavity length. By increasing the intracavity anisotropy loss, one polarization eigenstate can be suppressed and the laser works in single-polarization state. A theoretical analysis based on the compound cavity model is presented, which is in good agreement with the experimental results. The results offer guidance to the development of laser feedback interferometers.     

基于纳米红外技术的竹材细胞壁化学成分研究

为了深入认识竹材细胞壁的精细结构,揭示竹材细胞壁的独特构造,首次应用纳米红外技术(AFM-IR)研究竹材纤维细胞壁的化学成分及其分布,探讨纳米红外技术在竹材细胞壁化学物质分布的研究方法。结果表明,利用纳米红外技术可以实现原位状态下对竹材纤维细胞壁的化学组成进行分析,突破了传统红外光谱技术的衍射极限,获得纳米级的红外光谱;纳米红外技术采集的光谱与显微红外技术相比,谱峰位置基本相同,能正确反映竹材细胞壁的化学信息;纳米红外技术是竹材细胞壁化学成分纳米分布的有效研究方法。     

各向异性外腔微片Nd:YAG激光器调频回馈研究

研究了在各向异性外腔下微片Nd:YAG激光器调频回馈特性.作为对比,首先给出了在各向同性外腔下调频回馈结果,激光器输出功率的半波条纹数正比于外、内腔长度之比.在回馈外腔中内置一个四分之一波片,激光偏振态发生规律性跳变,每个纵模带宽内的偏振跳变次数正比于外、内腔长之比,相同外腔长下,回馈条纹再次倍频.进行了基于法布里-珀罗腔等效模型的理论分析,结果和实验相符合.此现象在精密测量领域有潜在应用. 关键词： 光回馈 调频回馈 各向异性外腔 半波条纹数     

波段外脉冲激光对锗透镜热冲击效应的数值与实验研究

基于热传导及热弹性力学的基本关系式,建立了激光辐照锗透镜的热力耦合数学物理模型,对瞬态热传导方程和应力平衡方程进行有限元数值求解,得到了锗透镜的温度场和应力场分布,并利用波长1.06 μm,脉冲宽度10 ns的Nd∶YAG脉冲激光对锗透镜进行了热冲击实验研究.数值分析表明,热应力损伤在锗透镜的脉冲强激光损伤中占据主导地位,在短脉冲激光辐照下,锗透镜出现热应力损伤的激光能量密度小于出现熔融损伤的激光能量密度,热应力损伤主要集中在光斑中心区域并体现为压应力损伤,将使材料表面出现裂纹或剥落,实验结果与数值分析基本相符.     

二维光子晶体耦合腔阵列的慢波效应研究

设计了一种六角晶格二维光子晶体耦合腔阵列,平面波展开法计算能带表明,处于禁带中的耦合缺陷腔模的色散曲线在光子晶体平面内所有k矢量方向更加平坦.模拟了横电波沿ΓK方向的透射谱.与光子晶体单缺陷腔相比,耦合腔阵列结构的缺陷腔模透射率提高三个量级以上,而群速度降低一个量级,得到0.007c的结果.该慢波效应在构造微型可调谐光延迟器和低阈值光子晶体激光器等方面具有潜在的应用前景. 关键词： 光子晶体 耦合腔阵列 慢波 透射率