Geometric Spin Hall Effect of Light at polarizing interfaces

The geometric Spin Hall Effect of Light (geometric SHEL) amounts to a polarization-dependent positional shift when a light beam is observed from a reference frame tilted with respect to its direction of propagation. Motivated by this intriguing phenomenon, the energy density of the light beam is decomposed into its Cartesian components in the tilted reference frame. This illustrates the occurrence of the characteristic shift and the significance of the effective response function of the detector. We introduce the concept of a tilted polarizing interface and provide a scheme for its experimental implementation. A light beam passing through such an interface undergoes a shift resembling the original geometric SHEL in a tilted reference frame. This displacement is generated at the polarizer and its occurrence does not depend on the properties of the detection system. We give explicit results for this novel type of geometric SHEL and show that at grazing incidence this effect amounts to a displacement of multiple wavelengths, a shift larger than the one introduced by Goos?CH?nchen and Imbert?CFedorov effects.     

Determination of the focused beam waist of lasers with weak measurements

In this Letter, a method for detecting the focused beam waist of lasers is proposed by using weak measurements based on the so-called weak-value amplification. We establish a propagation model to describe the quantitative relation between the beam waist and the amplified shift of the spin Hall effect of light(SHEL), which is sensitive to the variation of the beam waist. We experimentally measure the amplified shift corresponding to a different beam waist and the experimental data agrees well with theoretical calculation. These results confirm the rationality and feasibility of our method.     

Observing the spin Hall effect of pseudothermal light through weak measurement

The spin Hall effect of light(SHEL) can be observed by the dark strip resulting from weak measurement. We find that the SHEL of a partially coherent beam(PCB) has a similar phenomenon as well. However, the dark strip in the SHEL of a PCB cannot be explained by considering the beam as an assemblance of coherent speckles. Also,the dark strip in a PCB is not purely dark. By analyzing the autocorrelation, we show that the SHEL of a PCB is the result of overlapping coherent speckles' SHEL. We further prove our conclusion by adjusting convergence and incident angles. Finally, we develop a qualitative theory to clarify the SHEL of a PCB.     

Spin Hall effect of a light beam in anisotropic metamaterials

<正>We theoretically investigate a switchable spin Hall effect of light(SHEL) in reflection for three specific dispersion relations at an air-anisotropic metamaterial interface.The displacements of horizontal and vertical polarization components vary with the incident angle at different dispersion relations.The transverse displacements can be obtained with the relevant metamaterial whose refractive index can be arbitrarily tailed.The results of the SHEL in the metarnaterial provide a new way for manipulating the transverse displacements of a specific polarization component.     

Inscription of holographic gratings using circularly polarized light: influence of the optical set-up on the birefringence and surface relief grating properties

The polarization properties of the optical set-up used for holographic recording of diffraction gratings on azopolymer thin films are analyzed. The state of polarization of circularly polarized light is fully analyzed after reflection on a mirror at various incidences (Lloyd-mirror set-up). The Stokes analysis is performed using a photopolarimeter and the phase shift, the ellipticity and the azimuth orientation are compared with those calculated from Fresnel formulae. At large angles of incidence, an initially right circularly polarized (RCP) beam becomes elliptically polarized with an azimuth of nearly +45°. From these results, holographic diffraction gratings are recorded on an azobenzene-containing polymer thin film using (i) co- and contra-circularly polarized beams and (ii) a right circularly polarized beam interfering with a +45° linearly polarized light beam. Using Jones-matrix formalism, the polarization states of the diffracted orders from the birefringence (Δn) and the surface-relief (2Δd) gratings are derived and compared with experimental measurements. Finally, the induced local birefringences and surface-relief amplitudes are discussed in connection with atomic force microscopy measurements. The diffraction efficiencies obtained under the (+45°+RCP) and (LCP + RCP) (where LCP = left circularly polarized) configurations are thus compared and discussed. Received: 5 October 2001 / Revised version: 26 November 2001 / Published online: 17 January 2002     

The Imbert-Fedorov shift of paraxial light beams

We present a solution to the problem of reflection and transmission of a polarized paraxial light beam at an interface between two homogeneous media by using a two-form amplitude and an extension matrix to represent the vectorial angular spectrum of a three-dimensional (3D) light beam. We derive general formulas for the Imbert-Fedorov (IF) shift of the reflected and transmitted beams of a polarized paraxial light beam. The IF shift of two different types of polarized beams is calculated, and the influence of the polarization state and the polarization feature of the vectorial angular spectrum on the IF shift is discussed.     

光自旋霍尔效应中横移的影响因素研究

研究了光束在空气与电介质分界面传输产生的自旋霍尔效应,揭示了光束重心横移分别与偏振态、折射率差以及入射角三者之间的定性关系.研究发现各光场横移都随偏振参量增大而增大,左、右旋椭圆偏振光的横移等值反向,圆偏振态下的横移比椭圆偏振态下的横移大.改变折射率差的大小,反射光横移随折射率差的增大而减小,但当折射率差接近零时,反射...     

Design of a wedge plate for polarization-preserving angular shifter

It is shown that by using a wedge plate, the incident direction of light propagation can be rotated as necessary while still preserving beam polarization. The basic conditions of these preservations of polarization are deduced. For numerical demonstration, it is shown that a collimated beam with +45° linear polarization can be guided to any pre-settled direction where the square of ellipse ratio variation in the polarization is less than 0.0001%, while the variation of squared ellipse ratio of a right circular polarization beam is kept under 0.1%.     

Dependence of extinction cross-section on incident polarization state and particle orientation

This note reports on the effects of the polarization state of an incident quasi-monochromatic parallel beam of radiation and the orientation of a hexagonal ice particle with respect to the incident direction on the extinction process. When the incident beam is aligned with the six-fold rotational symmetry axis, the extinction is independent of the polarization state of the incident light. For other orientations, the extinction cross-section for linearly polarized light can be either larger or smaller than its counterpart for an unpolarized incident beam. Therefore, the attenuation of a quasi-monochromatic radiation beam by an ice cloud depends on the polarization state of the beam if ice crystals within the cloud are not randomly oriented. Furthermore, a case study of the extinction of light by a quartz particle is also presented to illustrate the dependence of the extinction cross-section on the polarization state of the incident light.     

折射率梯度引起反转的光自旋霍尔效应研究

从经典电动力学出发,研究了由折射率梯度导致的反转光自旋霍尔效应。通过分析光从光疏介质入射到光密介质和从光密介质入射到光疏介质两种情况,揭示了光自旋霍尔效应中的横移与偏振态、折射率梯度以及入射角等因素的定性关系。当入射角一定时,光从光疏介质入射到光密介质时的水平偏振横移绝对值大于垂直偏振横移,而从光密介质入射到光疏介质的情况正好与之相反,并且传输场的横移方向取决于折射率梯度方向,增大入射角能明显增强光自旋霍尔效应,对某一特定的线偏振光束,其左、右旋圆偏振光分量的横移等值反向。这些研究结果为调控光自旋霍尔效应提供了有效途径。     

拼接光栅的偏差对光束空间特性的影响

用拼接小尺寸多层介质膜衍射介质膜衍射光栅的办法制作大口径的高破坏阈值光栅成为解决拍瓦激光系统输出能量的关键技术———光栅拼接技术。拼接的每个光栅都存在五维自由度的偏差,对激光脉冲的空间特性和时间特性产生影响。用夫琅禾费衍射的方法分析了拼接光栅的偏差对光束空间特性的影响,建立了偏差和远场强度分布之间的函数关系并用数值方法进行模拟,得出角度偏差对光束远场分布的影响可以忽略,而位移偏差:光栅间拼缝和前后位移偏差是影响光束远场分布的关键因素。     

偏振方向对涡旋光束产生的影响

在利用液晶空间光调制器(LCSLM)产生涡旋光束时,入射光的偏振方向对涡旋的产生有着明显的影响。从液晶空间光调制器的工作原理出发,研究了不同偏振方向的线偏振光在通过LCSLM的相位调制后,涡旋光束产生的变化。通过模拟仿真与实验结果的比较,发现随着线偏振光的偏振方向与液晶分子光轴夹角的增大,液晶空间光调制器的调制误差变大,所产生的涡旋光束的质量变差。当夹角大于4.725°时,涡旋光束的质量明显变差。而随着夹角继续增大,LCSLM对入射光的调制作用减弱,无法产生涡旋光束。     

任意偏振态光束全反射时的侧向和横向位移

光束在电介质界面发生全反射时,实际反射光束会在入射面内相对于几何反射光束产生一侧向位移,在垂直于入射面的方向产生一横向位移。利用改进的能流法研究了任意偏振态光束发生全反射时的侧向和横向位移特性。研究表明,侧向位移的大小与入射光束的两组成部分———TE和TM偏振光的相位差无关,而与两组分的光强比密切相关,且该位移可以表示为TE和TM偏振光束各自的位移按光强的加权平均。横向位移的大小不仅与入射光束两组分的光强比相关,还与组分的相位差密切相关。另外,反射光束不仅在椭圆偏振态入射的情况下会产生横向位移,而且在TE和TM偏振态之外的其他线偏振态入射时,也会产生横向位移。     

双锥光纤滤波器的研制

实验研究了熔锥条件对双锥光纤滤波器的影响。提出一个高斯模型，预测锥的几何形状。获得了窄带带通双锥光纤滤波器以及带阻中心波长分别为１３５ｎｍ和１５５９ｎｍ的带阻双锥光纤滤波器。     

Effect of chromaticity on quarter-wave retarder performance

When a polarized polychromatic beam passes through a birefringent medium, the constituent spectral components suffer different change of state of polarization. As a result when the beam passes through an analyzer, the intensity of the resultant beam changes depending on the orientation of the analyzer, state of polarization of the input beam, spectral and spatial intensity distribution of the source and the polarizing properties of the birefringent medium. In the present study the intensity variation of the resulting beam passing through a quarter-wave retarder plate is observed theoretically with the variation of the azimuthal angle of the analyzer for monochromatic and polychromatic source of light. A simple experiment is conducted to observe the intensity variation for an incandescent lamp and HeNe laser as polychromatic and monochromatic source of light passing through a birefringent polymer-based quarter-wave retarder plate. The experimentally obtained values are compared with theoretical values and a good agreement is observed.     

三层材料纳米颗粒形状对消光特性的影响

通过高分辨率电子束光刻方法制备了不同形状的三层复合材料纳米颗粒,研究了这种纳米颗粒的形状变化对消光特性的影响。测试结果表明,当入射波偏振方向平行于短轴时,随着长宽比的增大,共振峰位置发生蓝移;当光源偏振方向平行于长轴时,随着长宽比的增大,共振峰位置发生红移。还用时域有限差分算法以及表面等离波子的Lorentz模型对纳米颗粒的消光特性进行数值计算,所得的消光频谱曲线、共振峰位置变化趋势与实验基本一致。此外,还研究了主体材料层厚度对消光特性的影响,发现其厚度在20～90nm变化时,共振峰发生3～115nm的蓝移。     

Fedorov lateral shift at the interface between left-handed and right-handed media

The Fedorov lateral shift of a polarized beam upon the total internal reflection of light from an interface between media with positive and negative refractive indices is investigated. It is shown that the Fedorov lateral shift depends substantially on the polarization of the incident beam. The prediction is made that the Fedorov lateral shift can be completely compensated upon the total internal reflection of linearly polarized modes from two boundaries of a planar waveguide with a substrate prepared from a left-handed material.     

Generation of vector beam with space-variant distribution of both polarization and phase

We present an idea to generate an arbitrary space-variant vector beam with structured polarization and phase distributions. The vector beams are synthesized from the left- and right-hand polarized light, each carrying different phase distributions. Both the phase and the state of polarization of vector beams can be tailored independently and dynamically by a spatial light modulator.     

体布拉格光栅滤波片及其光谱成像应用

利用厚体布拉格光栅的波长选择特性对目标光场进行窄带滤波,是实现高光谱成像的一种新途径。基于严格耦合波理论,设计了体布拉格光栅结构,探索了厚体布拉格光栅的制作工艺,搭建系统光路验证了体布拉格光栅的光谱成像能力。研究结果表明：要获得较窄滤波谱宽,需要提高体布拉格光栅的厚度周期比,并严格控制入射光束发散角;刻写光束质量、震动和偏振会极大地影响制作的光栅条纹面质量,需要从优化写入光的光束均匀性、采用防震措施以及调整两刻写光束偏振一致性等方面优化刻写过程,以提高光栅的衍射效率和质量;验证了体布拉格光栅滤波片进行空间二维面阵成像的能力,宽谱光源透射条件下,通过对入射光束进行准直,滤波谱宽5 nm左右,空间分辨率约4 lines/mm;漫反射条件下,使用体布拉格光栅对进行色散补偿,能够实现较为清晰的成像,空间分辨率约4.9 lines/mm。     

Generation of arbitrary vector beams based on a single spatial light modulator and a thin-film polarization splitting cubic

A setup for the generation of arbitrary vector beams is proposed. The setup mainly consists of a spatial light modulator(SLM), an angle-adjustable polarization beam splitter modulator, and a spatial filtering imaging system. Compared with the system using a birefringent beam splitter with a non-adjustable splitting angle,the polarization splitting angle of the improved setup can be adjusted by slightly rotating the related mirrors,which will bring more convenience when different wavelengths and different pixel sizes of SLMs are involved.The experimental results also demonstrate that the setup possesses a good polarization-selective imaging ability, which reveals that the setup may also be useful in polarization-selective spatial filtering imaging and polarization-encoded encryption.