Mathematical principle and characteristics of polarization transform

The precise definition of polarization transform is proposed from the viewpoint of polarization domain transform for the first time. The mathematical principle, characteristics and physical meanings of polarization transform are analyzed. Two typical kinds of polarization transforms which are called unitary matrix polarization transform (UMPT) and diagonal matrix polarization transform (DMPT) are put forward. The gain property and the change property of polarization state distance are presented in detail. Thereby, the concept of serial polarization transform is proposed. A general polarization transform can be realized by two steps: changing the location of polarization states in polarization domain by UMPT; and expanding or compressing the density of polarization states by DMPT. The result is meaningful to many applications including polarization filtering, detection, enhancement, anti-jamming, discrimination and so on. Supported in part by the National Excellent PhD Dissertations Fund of China (Grant No. 08100101), the New Century Excellent Talents Fund of China (Grant No. NCET-04-0997), the National Natural Science Foundation of China (Grant No. 60672033) and the Excellent PhD Fund of National University of Defense Technology (Grant No. B070401)     

偏振度作为反馈信号进行偏振模色散补偿的研究

对40Gb／s光纤通信中归零码和非归零码光脉冲的偏振度随二阶偏振模色散的变化规律进行了数值模拟,结果表明由于二阶偏振模色散的影响,偏振度的变化趋势呈现出震荡性,二阶偏振模色散对归零码的偏振度要比非归零码的偏振度影响明显;同时搭建了偏振模色散补偿系统,对系统进行数值模拟和实验所得到的结果都表明,以偏振度作为反馈信号,采用粒子群优化算法作搜索算法能够有效地对归零码和非归零码系统的一阶及高阶偏振模色散进行自适应补偿。     

Modeling and simulation of polarization errors in Sagnac fiber optic current sensor

Sagnac fiber optic current sensor (S-FOCS) is a kind of optical interferometer based on Sagnac structure, optical polarization states of sensing light wave in Sagnac fiber optic current sensor are limited. However, several factors induce optical polarization error, and non-ideal polarized light waves cause the interference signal crosstalk in sensor, including polarizer, quarter-wave retarder, splice angular, birefringence and so on. With these errors, linearly polarized light wave in PM fiber and circularly polarized light wave in sensing fiber become elliptically polarized light wave, then, nonreciprocal phase shift induced by magnetic field of the current is interrupted by wrong polarization state. To clarify characteristics of optical polarization error in fiber optic current sensor, we analyze the evolution process of random optical polarization state, linear optical polarization state and circular optical polarization state in Sagnac fiber optic current sensor by using Poincare sphere, then, build optical polarization error models by using Jones matrix. Based on models of polarization state in Sagnac fiber optic current sensor, we investigate the influence of several main error factors on optical polarization error characteristics theoretically, including extinction ratio in polarizer, phase delay in quarter-wave retarder, splice angular between quarter-wave retarder and polarization maintaining fiber. Finally, we simulate and quantify nonreciprocal phase shift to be detected in fiber optic current sensor related with optical polarization errors. In the end, we demonstrate S-FOCS in test. The results show that transfer matrix errors are induced by inaccurate polarization properties during polarization state conversion, then, the stability and accuracy of the S-FOCS are affected, and it is important to control the polarization properties at each step of the polarization state conversion precisely.     

径向偏振调制对聚焦光斑匀滑及偏振特性的影响

基于标量衍射理论建立了光谱色散平滑(SSD)、随机相位板(RPP)和偏振匀滑(PS)联用的光束匀滑方案数值仿真模型。以斑纹对比度和偏振度为主要评价参量,利用该模型研究了径向偏振调制的匀滑及消偏振特性。研究表明,径向偏振调制可以有效降低聚焦光斑斑纹对比度和偏振度。使用半波片拼接方式产生近似径向偏振光时,拼接单元数对匀滑及偏振特性影响较小,8片拼接的匀滑效果已与理想径向偏振光几乎一致。对比分析了径向偏振调制、正交偏振调制和双折射楔三种PS方式,结果表明,由于三种PS方式本质上的一致性,光束的匀滑及偏振特性差别较小。     

基于互补型偏振控制板的多光束叠加特性研究

为满足惯性约束聚变对靶面光场辐照特性的要求,提出利用互补型偏振控制板改变光束内部偏振态,实现多光束消偏振叠加,进而改善聚焦光场均匀性的方案.建立了光束通过互补型偏振控制板进行变换的物理模型,理论分析了互补型偏振控制板影响聚焦光斑偏振特性的原因,比较了互补型偏振控制板与非互补型偏振控制板对聚焦光斑偏振特性及均匀性的影响,并进一步讨论了偏振控制板单元数的选取问题.结果表明:多光束通过互补型偏振控制板后,聚焦光场不再是单一偏振光,而是各类部分偏振光的随机混合;与其他类型双块偏振控制板相比,互补型偏振控制板能实现聚焦光斑的消偏振叠加且效果最佳,使光斑偏振度下降至0.2以下,并能有效地改善光斑的强度均匀性.采用互补型偏振控制板时,单元数对聚焦光斑偏振特性影响不大,但对强度均匀性则存在一定程度的影响,因而在实际工作中应根据应用需求合理选取单元数.     

Analysis of the Polarization Influence on the Erbium-Doped Fiber Laser Transient Behavior

Abstract

We studied the erbium-doped fiber laser transient behavior dependence on the pump polarization state or on the cavity polarization eigenvalues. Several series of measurements are shown in which the changes in the transient laser response can be appreciated as the pump polarization state, or the cavity polarization eigenvalues are modified by means of polarization controllers. Results are fitted to a model considering polarization hole burning. It is shown that including this effect is fundamental for a correct erbium-doped fiber laser transient model. On the other hand, the validity of the model's fitting parameters under pump or cavity polarization changes is analyzed.     

Manifestation of anisotropic collisional generation of higher polarization moments in polarization of quadrupole emission

Direct observability of polarization moments of a higher order—octupole orientation of atomic angular momenta (κ=3) and their hexadecapole alignment (κ=4)—from polarization of quadrupole radiation is discussed. The case when atoms are excited through dipole absorption of light producing orientation or alignment of angular momenta with κ=1 or 2 and higher polarization moments are induced by collisions with a beam of particles is considered. It is shown that differences in the laws of transformation of polarization moments of various ranks κ in rotations of coordinate axes allow us to select the pure contribution of the higher polarization moment under study from the signal of polarization of quadrupole emission by excluding the contribution of orientation or alignment with κ=1 or 2. Optimum systems of coordinate axes for the observation of octupole orientation from circular polarization of light and for the observation of hexadecapole alignment from linear polarization of light, in which the pure contribution of the higher polarization moment under study to polarization of quadrupole emission reaches its maximum, are calculated.     

激光偏振性的量子理论与实验研究

本文建立了激光偏振性的全量子理论。分析了各向异性腔中多模运转下激光束的偏振特性。给出He-Ne激光器在6328振荡谱线上各模相互间角度随各向异性变化的基本方程、计算曲线及偏振组态。本文还给出了由应力导致相位各向异性对模式偏振性影响的实验结果。理论分析与实验结果相符。     

基于偏振菲涅尔反射比分布的主动偏振成像目标辨别方法

由于偏振特性是材料自身所决定的物理特性,其偏振图像含有丰富的目标信息,利用偏振信息对目标进行识别一直是国内外目标探测领域的研究热点,而主动偏振成像较之被动偏振成像更具有信噪比高以及可控性好等优势。在详细分析了偏振菲涅尔反射比分布的理论基础上,提出了一种利用探测物体表面的偏振菲涅尔反射比的主动偏振成像方法。该方法在发射端将偏振方向正交的两种偏振态的光源交替照射到目标场景中,在探测端用分别装有两个偏振方向垂直的偏振片的CCD采集偏振图像。同时,将探测端架构在不同的探测方向采集目标经主动光源照射后的偏振数据,最后将这些数据传输到计算中心,通过最优化拟合技术反演出不同目标的光学常数,由于不同目标的表面材质不同,其反映出的光学常数就不同,从而达到辨识不同材质目标的目的。实验分别采用了仿真数据和实测数据来验证该方法的有效性。仿真实验显示,所提出的方法利用材料的光学常数对不同材料进行区分不仅是科学的而且更方便有效。实测数据进一步验证了该方法能够较好的恢复出目标的相关光学常数,尤其在区分金属和非金属材料方面表现突出,并且探测方法结构简单实用,在目标探测、伪装识别等领域中有较大应用前景。     

SU(2)非自治系统中的互补混沌——加速器中离子极化的稳定性

利用SU(2)代数动力学方程研究了加速器中带自旋离子的极化对磁场的含时无规扰动的稳定性问题,发现低度极化的系统对磁场无规扰动十分敏感,而高度极化的系统对磁场无规扰动比较稳定;自旋守恒导致自旋纵向分量的无规涨落和横向分量的无规涨落存在着互补性.这一结果表明,在产生离子束极化的实验中,在离子束低度极化的前期阶段,磁场应具有较高的稳定性,而在离子束极化度较高的后期阶段,磁场的稳定性要求可以放松;自旋纵向分量的无规涨落和横向分量的无规涨落的互补性有可能用来做成稳定离子极化的负反馈.     

双环掺铒光纤激光器混沌偏振控制方法研究

提出双环掺铒光纤激光器激光混沌的偏振耦合控制以及部分偏振控制方法,偏振耦合控制能控制耦合相互作用以控制激光混沌,部分偏振控制是控制部分偏振耦合效应以控制激光混沌.数值模拟了偏振耦合控制混沌和某一个环的部分偏振控制混沌,它们都能实现把双环掺铒光纤激光器激光混沌控制到稳定态和周期态上;通过实时调控光的偏振方向,这两种混沌控制方法都能实时地、动态地、有效地控制激光混沌进入到稳定态和周期态上.     

反射式旋转对称光学系统中的偏振像差分析

为了控制反射式旋转对称光学系统中的偏振效应,对该类系统中的偏振像差进行了分析。在偏振像差理论的基础上,通过偏振光线追迹的方法,导出反射式旋转对称光学系统的偏振像差的计算公式,提出了反射界面产生的偏振像差的影响因子,对影响其偏振像差的因素进行了分析。实例分析结果表明,对于具有宽光谱、大入射角、大视场等特点的反射式旋转对称光学系统,要想提高其光学系统的性能,必须控制光学系统的偏振像差。提出尽可能减小入射角的大小,并通过薄膜设计减小偏振分离来降低系统中的偏振效应,是控制反射式旋转对称光学系统中的偏振像差的有效措施。     

热红外偏振成像技术在目标识别中的实验研究

简要分析了热红外偏振探测与热红外强度探测在物理含义方面的区别,由此提出了一种利用偏振信息在红外图像中识别目标的新方法。通过热红外偏振成像系统获得了目标的偏振图像,并由计算机提取出了图像中的偏振信息。由于目标与自然背景的热红外偏振特性有较大的差异,所以通过分析这些信息,可以更好的识别目标。实验结果表明,该方法不仅可以很好地识别自然背景中的人造目标,而且对热红外伪装目标的识别也很有效。     

光源偏振度对光纤陀螺零漂影响的研究

以Y波导集成光学调制器保偏型干涉式光纤陀螺作为研究对象,根据各光学元器件的参数建立了各器件的琼斯矩阵以及光路传输模型,在此基础上进行了光路偏振误差的理论分析。通过推导,得到了保偏型干涉式光纤陀螺的偏振误差表达式,并首次分析了光源偏振度对光纤陀螺零漂的影响。借助光源尾纤输出的光谱,对由0%~3%之间呈线性变化的偏振度以及对经实验测试的光源偏振度的实际值引起的偏振模式耦合误差的零漂值进行了仿真计算。结果表明,当光路中其它参数不变时,由光源偏振度变化引起的零漂值为0.001°/h,满足了高精度光纤陀螺的精度要求。     

General properties of the efficiency of bremsstrahlung generation and polarization of pumping-field harmonics in plasma obtained by photoionization of the gas of excited hydrogen-like atoms

Nonlinear analytical dependences are found for the efficiency of bremsstrahlung generation and for circular polarization of the 9th and 11th harmonics on both the strength and the degree of the circular polarization of the intense pumping field in plasma obtained by the photoionization of gas of excited hydrogen-like atoms by this field. Using the 3rd-11th harmonics as an example, general laws of nonlinear threshold phenomena are considered: the bifurcation of the complete circular polarization and the realization of the maximum efficiency of the harmonic generation by the pumping field with polarization other than linear. The conditions are determined for the most efficient generation of harmonics having the prescribed polarization properties.     

Polarization controller using nematic liquid crystals

In this Letter we demonstrate a polarization controller capable of changing any state of polarization of light from one arbitrary state to another. The controller consists of a stack of three homogeneous nematic liquid-crystal cells. The polarization state is controlled by proper adjustment of the voltages applied across each of the cells. The mathematical algorithm and principles of this polarization controller are developed in the framework of the Stokes parameters, allowing easy visualization by use of a Poincaré sphere representation. The transformation functions are given for conversion of an arbitrary input state to any output state. Experiments are carried out to demonstrate arbitrary polarization transformation.     

基于谐振环的太赫兹宽带偏振转换器件研究

提出了一个基于谐振环结构的宽带且高效的太赫兹线偏振转换器.该结构由金属-电介质-金属三层构成,位于顶层的是基于开口谐振环的超表面,中间为介质层,底部为金属板.实验结果表明,该结构可以在0.59-1.24 THz频率范围内将线偏振的太赫兹波偏振方向旋转90°,转换率超过80%.通过计算该结构在所研究的频率范围内反射光的偏振角和椭圆角,证实了该结构可以在较宽的频率范围内实现高效的线偏振转换.对该结构在偏振转换率高的频率下表面电流和电场进行仿真,分析了高偏振转换率和宽带的机理.同时,研究了该结构的偏振转换率对入射角以及偏振角的依赖性,结果表明该结构在0°-30°入射角范围内、-10°-10°偏振角范围内均有很好的偏振转换性能.     

血液静态荧光偏振光谱研究

报道了用408 nm的LED偏振光诱导浓度为0.3%的人全血溶液在350800 nm波段的静态荧光偏振光谱,讨论了其光谱的结构特征和红移现象并给出了机理解释;检测了不同浓度全血溶液荧光偏振光谱中在490nm和610 nm附近处两个各主要荧光区的偏振度,实验结果表明,当血液浓度为1.0%时,在两个主要荧光区的偏振度分别为0.4796和0.4344,当浓度增加到8.0%时,相应的偏拓坟墓分别为0.2064和0.0538。研究了偏振度随浓度的变化规律,用能量转移理论分析了在不同荧光区、不同浓度下,血液中各荧光团之间的不同能量转换机理及偏振度的变化现象。研究结果对光诱导生物组织自体荧光诊断技术有一定的参考价值。     

Extraction of Self-Diffraction Wave in Photorefractive Bi12SiO20 Crystals

When two waves are coupled in Bi₁₂SiO₂₀ crystals, the polarization states of the signal wave are affected by the self-diffraction. We have theoretically studied the influence of the self-diffraction on the polarization of the signal wave. The change of polarization states are strongly affected by the self-diffraction effect when the external field is applied. We present a new method that converts the change of polarization into an intensity signal.     

通道调制型偏振成像系统的偏振参量重建

通道调制型偏振成像系统中,焦平面上获取的信息需要通过目标偏振参量的重建才能有效提取,因而重建是目标识别、材料分析、生物医疗等技术进一步应用的前提.为了实现在非理想情况下通道调制型偏振成像系统的偏振参量精确重建,需要解决成像系统中电荷耦合器件(CCD)采样频率与频谱位置偏移对重建的影响.本文首先详细分析了频谱不发生混叠的条件:CCD采样频率应至少为4倍基频;在偏振干涉频谱位置偏移时,使用最大频谱法确定各个偏振态的载波频率,通过频移、滤波和傅里叶变换获得目标的偏振重建二维图像;最后通过计算机模拟仿真与实验分析结合的方法验证该重建方案的可行性与有效性.模拟与实验结果表明:改进后的偏振重建法得到的偏振图像与原始输入图像的均方差在0.001以下,峰值信噪比有明显的提高,且结构相似度可达到0.9以上,表明该方法获得的二维偏振态重建图像精度高,与理论偏振解调法相比具有很大的优越性.该工作希望为后续偏振探测与分析进一步的研究提供参考.