Wollaston式平行分束偏光棱镜的光学特性分析EI北大核心CSCD

根据折射定律结合棱镜的结构特点,推导出了Wollaston式平行分束偏光棱镜所对应的切割角应满足的关系．利用菲涅尔公式和薄膜的光强透射理论,推导出棱镜的光强透射比、光强分束比和两出射光束的平行度表达式．通过Matlab数值模拟,研究并实验测量了棱镜的光强透射比、光强分柬比和出射光平行度随入射角或入射波长的变化关系．结果表明：出射光束的平行度与实验结果符合得非常好,光强透射比规律与理论结果一致．Wollaston式平行分束偏光棱镜的光强透射比和光强分柬比随入射角有微小的起伏变化,当入射光束的入射角在-3°～3°的范围内入射或波长在（400～1100）nm范围内变化时,两光束之间的夹角不超过0．42°,平行度稳定性较好．     

衍射轴棱锥产生光学点阵的理论和实验

提出一种利用衍射轴棱锥产生三维光格的方法.由广义的惠更斯一菲涅耳衍射积分理论出发.分析准直单色平面光波大角度斜入射轴棱锥形成的光学点阵的特性.数值模拟光束在不同入射角入射轴棱锥情况下,随轴向距离变化的纵向光强分布以及同一轴向距离处的横向光强分布光斑图.结果指出,随着入射轴棱锥角度的增大,在最大无衍射距离内会形成有规则的光学点阵,这种光学点阵与三维光子晶体的结构相近,实验结果与数值模拟相吻合.     

轴锥镜光强分布的角谱衍射数值分析法

针对理论上推导轴锥镜的衍射光场分布解析式较为困难,且用菲涅耳衍射理论分析时存在近轴近似及不能适用于近场衍射光场分析的问题,采用了严格遵从标量衍射亥姆霍兹方程的角谱衍射波前重建方法,对轴锥镜在单色和准单色高斯光波照射下的横向和轴向衍射光强分布特性,以及在单色均匀平面光波照射下的轴向衍射光强分布进行了数值计算和分析。结果表明,轴锥镜后单色光衍射光强分布在几何光束重叠的菱形区域内为近似无衍射贝塞尔光强分布,轴上光强沿光轴方向呈振荡变化,轴上光强分布规律与入射光波的垂轴横向光强分布有关;入射光的准单色性使得贝塞尔衍射条纹对比度略下降、轴上光强沿光轴方向振荡程度减小,但分布规律与单色光一致。     

数值法研究光的圆孔衍射实验现象

在平行平面波近似的情况下,数值法求解菲涅耳-基尔霍夫衍射积分公式,得到平行平面光波通过圆孔衍射后的光强分布图.通过对纵向及横向光强分布图的数值分析,验证了轴上点光强由菲涅耳数决定,菲涅耳数大于1时为菲涅耳衍射区,菲涅耳数小于1时为夫琅禾费衍射区.在近场,光强分布为明暗相间的环形条纹;在远场,光束演化成束腰位置在圆孔处的高斯光束,仿真结果与理论和实验结果基本一致.本仿真结果将光衍射的抽象理论直观化、可视化.     

格兰-泰勒棱镜空气隙厚度的测量

为了测量格兰一泰勒棱镜空气隙的厚度,分析了棱镜对单模高斯光束的影响.结果表明.经过棱镜后的透射光强随着光束在棱镜端面上的入射角变化呈现周期性的振荡,且振荡特性与入射光的波长,光强分布特性、棱镜结构角及宅气隙的厚度有关.对于给定波长的入射单模高斯光束,由于棱镜的结构角在棱镜胶合之前可以精确测得,所以通过分析这种振荡特性便町以得出棱镜空气隙的厚度.据此设计实验.测出了透射光强随入射角的周期性变化关系.利用计算机编程.間隔改变0.0001 mm作为理论计算中的空气隙厚度的取值.计算实验测得的透射光强振荡周期与理论计算值的相对偏差的平均值,对于样品棱镜,当该值为4.35%时取值最小,此时对应的空气隙厚度为0.0143 mm.     

马普-赫斯棱镜对单模高斯光束光强分布影响分析

根据光在马普－赫斯棱镜两空气隙胶合层中的干涉效应,分析了其对单模高斯光束光强分布的影响.结果表明,对于某一高斯光束入射棱镜时,透射光束光强将随入射角的变化而呈现周期性的振荡;对于正入射的光束,当空气隙的厚度一定时,透射光强随棱镜两空气隙结构角的变化作周期性振荡;当结构角一定时,透射光强随空气隙厚度的变化作周期性变化;且透射高斯光束的形状也随棱镜结构的改变发生变化,表明,可以通过选择合适的棱镜结构以减小棱镜对透射光束的影响,对于成品棱镜,则可通过改变入射角使棱镜的性能达到较佳状态.     

可调分束角棱镜分束光强比研究

利用相位匹配条件,坐标转换和菲涅耳公式推导出了可调分束角棱镜的光强分束比的数学表达式,分析了光束的入射角、棱镜的结构角,以及入射波长对光强分束比的影响,给出了使光强分束比为1的条件,并进行了实验测试,测试结果与理论分析相一致,为设计出射光强相等或近似相等的可调分束角棱镜提供了理论依据。     

平行光束入射双棱镜的干涉研究

本文理论推导出了两相干平行光束在交叉区域的干涉条纹计算公式,测量两相干平行光束的夹角和干涉条纹的间距可以得到入射光波波长的结论.利用多光束光纤激光器作为光源,在分光计上放置双棱镜获得两相干平行光束进行实验.结合电荷耦合器件(CCD)和液晶显示器,用望远镜的自准直目镜测量两相干平行光束的夹角,用测微目镜测量干涉条纹的间距.提高了实验数据的精确度,降低了实验的难度,实现了对传统双棱镜干涉实验的拓展创新.     

偏振和衍射双重效应影响的Schmidt棱镜特性

一束偏振光经过Schmidt棱镜的两个不同路径,成为两个不同的偏振状态,使得出射光束的偏振态呈现非均匀分布.为了探索偏振态非均匀分布对Schmidt棱镜传光质量的影响机理,将两个路径对应的光波函数引入屋脊衍射积分方程,得到了偏振效应影响的屋脊衍射场强分布.场强分布的数字计算表明:在偏振效应和衍射效应的双重影响下,经Schmidt棱镜出射的光场分布出现了严重变形;对应同一入射线偏振光出现的P、S两分量位相差的差异,使得P、S分量的屋脊衍射光强分布IP、IS有很大差异,这种差异在入射线偏振光方位角为0°和90°时达到最大;而合光波的衍射光强IP+IS是分裂为有一定空间间距的多峰分布,但多峰分布随入射线偏振光方位角的变化比较小.实验拍摄了He-Ne激光经Schmidt棱镜衍射后出射光强分布图.实验结果和理论分析一致性表明:Schmidt棱镜中的偏振效应和屋脊衍射效应导致了一束入射线偏振光分裂为有一定空间间距的多峰光束,严重破坏了Schmidt棱镜的传光特性.     

信息光学视角下菲涅耳双棱镜干涉的研究

菲涅耳双棱镜干涉在相衬成像和全息显微术中有重要应用。为了促进其应用,本文从信息光学角度研究双棱镜干涉,首先利用光场与脉冲响应函数之间的关系,理论导出了菲涅耳双棱镜干涉条纹强度公式,分析并讨论了狭缝缝宽及狭缝到双棱镜距离对菲涅耳双棱镜干涉条纹的影响,狭缝宽度大于0. 1 mm时,干涉条纹分辨率变差。接着给出了改变狭缝宽度(变化量为0. 08 mm)和改变狭缝到双棱镜的距离(从8 cm变化到12 cm)的实验结果,理论分析和实验结果一致。该结果有助于促进菲涅耳双棱镜干涉在相衬成像等领域的应用。     

激光反射法测量弯曲液面特性

发现了弯曲液面上边界反射光场的带状暗场扩张效应.当平行激光束垂直入射到由平板润湿效应引起的弯曲液面上时，边界反射产生特殊的反射图样，图样的中间为带状暗场，两侧有清晰的衍射条纹，并且带状暗场宽度随入射光束宽度的缩小而迅速变大.分析了反射图样的带状暗场宽度与入射光束宽度的解析关系，得出了弯曲液面的斜率曲线和高度曲线.建立了一种利用弯曲液面边界反射的暗场扩张效应来实时测量液面特性的新方法.     

液体折射率测量实验中提高半荫视场可见度的途径

分析了掠入射法测定液体折射率实验中棱镜角的选择范围,提出了增加半荫视场可见度的途径,讨论了光源位置和棱镜选取对半荫视场分界线可见度的影响,得出了实验室常用棱镜的选择方案.     

光波导技术同步测量棱镜及波导薄膜参数

依据全反射理论和棱镜耦合原理,实现了对棱镜折射率及波导薄膜材料折射率和厚度的同步测量。使用高准直半导体激光器激光入射到棱镜内部与波导膜的分界面上,逐步旋转棱镜或改变棱镜的入射角,得到棱镜耦合M线,曲线前面几组的波谷为波导模激发,在M线左侧收尾处有一个不完整波峰,其反射光强随入射角迅速衰减,为全反射时的临界点,由此可实现棱镜及波导薄膜参数的同步测量;用此法测量了棱镜耦合一体化平面波导棱镜的折射率和聚甲基丙烯酸甲酯(PMMA)聚合物波导薄膜的折射率和厚度。测量棱镜折射率精度为±1.9×10-4,波导薄膜折射率和厚度的精度分别为±6.2×10-4 μm和±1.6×10-2 μm。     

A bi‐prism interferometer for hard X‐ray photons

Micro‐fabricated bi‐prisms have been used to create an interference pattern from an incident hard X‐ray beam, and the intensity of the pattern probed with fluorescence from a 30 nm‐thick metal film. Maximum fringe visibility exceeded 0.9 owing to the nano‐sized probe and the choice of single‐crystal prism material. A full near‐field analysis is necessary to describe the fringe field intensities, and the transverse coherence lengths were extracted at APS beamline 8‐ID‐I. It is also shown that the maximum number of fringes is dependent only on the complex refractive index of the prism material.     

Fringe visibility for two qubits interacting with a macroscopic medium

We study both the two-particle and single-particle fringe visibility in the generalized version of the Nakazato–Pascazio model where two qubits interact with a finite length one-dimensional array.Both the two-particle and single-particle fringe visibilities are investigated with different initial states of the particles spin.For different initial states of the particles spin,the two-particle fringe visibility either decreases or increases over time,and may even decrease first and increase later.Due to the interaction between the particles and the one-dimensional array,the single-particle fringe visibility increases over time when the initial state of the two particles spin is independent.The single-particle fringe visibility is equal to 0 as the two-particle spin is initially in the completely entangled state or in the singlet state.     

Ultrasonic sensitivity-improved fiber-optic Fabry-Perot interferometer using a beam collimator and its application for ultrasonic imaging of seismic physical models

An ultrasonic sensitivity-improved fiber-optic Fabry-Perot interferometer(FPI) is proposed and employed for ultrasonic imaging of seismic physical models(SPMs). The FPI comprises a flexible ultra-thin gold film and the end face of a graded-index multimode fiber(MMF), both of which are enclosed in a ceramic tube. The MMF in a specified length can collimate the diverged light beam and compensate for the light loss inside the air cavity, leading to an increased spectral fringe visibility and thus a steeper spectral slope. By using the spectral sideband filtering technique, the collimated FPI shows an improved ultrasonic response. Moreover, two-dimensional images of two SPMs are achieved in air by reconstructing the pulse-echo signals through using the time-of-flight approach. The proposed sensor with easy fabrication and compact size can be a good candidate for high-sensitivity and high-precision nondestructive testing of SPMs.     

Boundary reflection from curved liquid surfaces and its application

A boundary light reflection from curved liquid surfaces was discovered. Due to the wetting effect, the liquid surface near the plate which was inserted into the liquid was deformed. When a collimated light beam vertically illumined the curved liquid surface, special reflective patterns of a strip-shape dark region in the center and the visibility interference fringes on both sides was observed for the up-curved liquid surface. The width of the dark region increases with the decreasing width of the incident beam. The relation of the dark region width and the incident beam width was derived theoretically. The slope and the height of curved liquid surface were obtained directly from measuring the dark central region width of the reflection pattern and the incident beam width. Furthermore, the analytic expression of the profile of the curved liquid surface was derived. As a result, it shows that an effective and practical technique for measuring the characterization of curved liquid surface was found.     

Enhancement of fringe visibility in a fibre interferometer

A simple method for increasing fringe visibility of an interference pattern in a Mach-Zehnder type fibre interferometer is presented. In order to obtain high visibility, two elliptically polarized waves emitted from fibres with birefringence are transformed into two linearly polarized waves of equal amplitude and with parallel planes of polarization by using ordinary optical components. Instability of fringe patterns due to temperature fluctuation of the air surrounding the fibres is also discussed.     

Optical measurement of Young's modulus of a micro-beam

This paper presents an optical method based on the interference of light beams of equal path difference for the measurement of the Young's modulus of a micro-beam. An optical wedge which consists of an optical plate and a micro-beam which forms part of a micro-accelerometer is illuminated by a collimated monochromatic sodium light beam. Loading on the micro-beam is accomplished by a loading-pin mounted on a three-axis translation stage and the resulting interference fringe pattern is observed using a CCD camera connected to a computer. Loadings are recorded using a high-sensitive load cell which measures loads of up to 200 g with a resolution of 0.01 g. Test results conducted on micro-beams of different sizes show good repeatability and comparison of the experimental results with theory shows good agreement.     

Third-order ghost interference with thermal light

A scheme for third-order ghost interference with thermal light is proposed. The visibility and resolution of the interference fringe related to the bandwidth of the spatial frequency spectrum of the source are analysed. The results show that the visibility of the third-order ghost interference fringe is much higher than that of the second-order one.