Effect of recording conditions on the anisotropic diffraction of volume holographic gratings

The anisotropic Bragg diffraction of the volume holographic gratings in photorefractive crystals are investigated based on the model of anisotropic coupled-wave theory. The effect of the initial intensity ratio and the recording angles of the two recording waves on the anisotropic Bragg diffraction properties is discussed. It is shown that both the ratio of the initial intensity and the incident angles of the recording waves are selective action for the anisotropic Bragg diffraction efficiency of the volume holographic gratings, while these two recording conditions are not selective action for the isotropic Bragg diffraction. Furthermore, the Bragg phase matching condition of anisotropic diffraction is analyzed when the recording angles change.     

Methods for producing two-coordinate holographic diffraction gratings

Methods for the preparation of two-coordinate holographic diffraction gratings using a two-, three- and four-beam interferometer are considered. The analytical relationship of the interference fringe intensity distribution in the output aperture of these interferometers is presented. Experimental results are given.     

全息液晶/聚合物透射光栅光学各向异性的研究

基于聚合物支撑(polymer scaffolding)形貌的全息液晶/聚合物透射光栅, 系统研究了光栅的光学各向异性. 在这种形貌的光栅内, 液晶不是以液滴的形态存在于富液晶区, 据此建立了相应光栅的简化模型, 然后在各向异性耦合波理论框架下研究了光栅的衍射特性. 详尽的衍射效率实验值和计算值比较, 很好解释了液晶/聚合物光栅的光学各向异性, 也证实了液晶分子大致沿着光栅矢量排列.     

制造全息光栅的新装置

本文报道一种利用洛埃镜原理制造全息光栅的新装置及其调整方法.该装置具有光学系统简单,干涉条纹定位精度高和调整方便等优点,可制造性能良好的全息光栅.     

Dynamic analysis of holographic gratings in amulti-wavelength visible light sensitive photopolymer

A dynamic theoretical model of photochemistry and hologram formation in holographic photopolymer is established, and the dynamic development process of holographic gratings in the photopolymer is discussed with the model. A novel multi-wavelength visible light sensitive photopolymer for holographic storage is prepared. The influence of exposure wavelength on holographic storage characteristics is analysed. By fitting the experimental data of transmittance and diffraction efficiency to a function of time with different exposure intensities and wavelengths, the variations of dynamic parameters of photochemistry and photopolymerization diffusion are presented.     

Demonstration of a thick holographic Stokesmeter

A holographic Stokesmeter has the potential to be useful in high-speed polarization imaging applications. Highly polarization-sensitive gratings are an important component for this device. Using two sets of multiplexed gratings, we measured the Stokes parameters for three different polarization states of an input beam. These measured values compared well to values measured using the quarter-wave plate/linear polarizer method. This establishes the feasibility of such a Stokesmeter in its original configuration. We demonstrate further the basic mechanism behind a compact architecture for this device, requiring only a single substrate and a single imaging system, and describe a spectrally scanned polarimetric imaging system.     

Nonlocal 3D diffusion model of writing thick diffraction gratings in polymer-dispersed liquid crystals

The dynamics of the process of writing of holographic diffraction gratings in polymer-dispersed liquid crystals is considered with allowance for absorption. Diffusion of molecules of not only the monomer, but also of the polymer, as well as the influence of inhomogeneity of illumination inside the sample because of the light absorption are taken into account. Also the role of nonlocality of the response of polymerization process is considered.     

Anisotropic surface relief diffraction gratings under arbitrary plane wave incidence

A modal method is used for the analysis under oblique incidence of a diffraction grating made of anisotropic material. The problem is studied viewing the structure as the cascade of junctions between periodic arrays of anisotropic slab waveguides with the same period and different heights. This diffraction problem is formulated in terms of an integral equation that enforces the continuity of the transverse magnetic field at the junction. The unknown is the transverse electric field at the junction. It is possible to use also another formulation, where the role of the two fields is exchanged. The kernels of these equations are the relevant Green's functions, which are expressed in terms of eigenfunction expansions. The determination of the modes of the various regions composed of arrays of anisotropic dielectric slabs has been carried out by the method of spectral elements, whereby the field components are represented in a polynomial basis and the original differential eigenvalue problem is converted into an algebraic one. The integral equation is solved numerically by the method of moments and each junction is characterized by its generalized scattering matrix (GSM). Finally, the diffraction efficiencies of the grating are obtained by combining the various GSM's.     

用于位移传感器的全息平面变间距光栅设计与制作研究

简述了全息变间距光栅的几何理论.利用遗传算法对记录光路进行了优化计算，提出在目标函数中考虑记录参数误差的影响，推导了目标函数的积分形式，提高了计算效率.针对用于位移传感器的平面变间距光栅，分别计算了球面波干涉及球面波与非球面波干涉情况下的全息记录参数，给出了线密度误差曲线.制作出全息平面变间距光栅，并成功应用于位移传感器中. 关键词： 全息光栅 变间距光栅 遗传算法     

Producing binary diffraction gratings in the double-diffraction system

In this paper, a method — based on the diffraction of light — for producing binary diffraction gratings is presented. It is shown that using two master gratings of the Ronchi type and utilizing the results of the double diffraction system it is possible to produce binary gratings with an arbitrary opening ratio. The results have been extended for a two-dimensional case and it is shown that producing binary grid gratings with arbitrary opening ratios in both x and y directions is also possible.     

全息光栅曝光系统中空间滤波器孔径与激光束腰关系的选择方法

在全息光栅制作过程中, 由空气悬浮颗粒及光学器件缺陷引起的散射光会被记录在光刻胶上, 既影响光栅衍射效率, 又会带来光栅杂散光. 为消除系统散射光, 需要对激光光束的高频成分进行滤波处理. 但是, 激光光束通过空间滤波器后发生衍射, 进而影响干涉场质量, 因此选择合适的空间滤波器孔径是搭建全息光栅曝光系统的前提条件. 根据标量衍射积分理论, 通过卷积计算滤波光束的振幅分布分析光束的相位变化, 以光束相位突变位置远离光束中心为依据确定滤波器针孔半径与光束束腰半径的比值下限; 根据滤波光束的能量守恒关系, 通过滤波光束的高斯参数变化描述光束的衍射强弱规律, 以光束发生衍射的临界条件确定滤波器针孔半径与光束束腰半径的比值上限. 结果表明, 当空间滤波器针孔半径与激光束腰半径之比满足1.52< a/ω₀<2.2时, 滤波光束曝光区域相位恒定, 光束能量通过率大于99%, 在此区间空间滤波器滤波效果最好.     

Holographic gratings in the transition regime

The transition from the Raman-Nath to a Bragg regime for holographic grating diffracted fields is studied using a new integral equation and Fourier transform techniques. Analytical and numerical studies are presented and evaluated.     

Design of high-efficiency diffraction gratings based on total internal reflection for pulse compressor

We present designs of high-efficiency compression grating based on total internal reflection (TIR) for picosecond pulse laser at 1053 nm. The setup is devised by directly etching gratings into the bottom side of a prism so that light can successfully enter (or exit) the compression grating. Dependence of the −1 order diffraction efficiencies on the constructive parameters is analyzed for TE- and TM-polarized incident light at Littrow angle by using Fourier modal method in order to obtain optimal grating structure. The electric field enhancement within the high-efficiency TIR gratings is regarded as another criterion to optimize the structure of the TIR gratings. With the criterion of high diffraction efficiency, low electric field enhancement and sufficient manufacturing latitude, TIR compression gratings with optimized constructive parameters are obtained for TE- and TM-polarized incident light, respectively. The grating for TE-polarized light exhibits diffraction efficiencies higher than 0.95 within 23 nm bandwidth and relatively low square of electric field enhancement ratio of 5.7. Regardless of the internal electric field enhancement, the grating for TM-polarized light provides diffraction efficiencies higher than 0.95 within 42 nm bandwidth. With compact structure, such TIR compression gratings made solely of fused silica should be of great interest for application to chirped pulse amplification (CPA) systems.     

Investigation of the interference field of two spherical waves for holographic recording of precision radial diffraction gratings

Precision radial diffraction gratings with a spatial pitch down to 1 μm, and with a line number over the ring area of up to half a million, are obtained through multiple recordings of a radial interference field segment. The radial field is produced by two spherical coherent waves. The spatial distribution of the interference fringes is analysed. Equations are provided for determination of the coordinates of the wave centres, taking into account the pitch and the radius of the grating to be recorded, as well as for estimation of interference field errors.     

高质量全息光栅的制作

全息光栅由感光版记录高斯光束干涉条纹制得 ,干涉条纹的不等宽性降低了光栅品质。制取高质量全息光栅的关键是要用均匀平面波作光源。在分析干涉区内光强分布的基础上 ,给出了制作等周期正弦全息光栅的两种方法 :限制曝光区大小的方法和高斯光束强度均匀化的方法。     

Study of the influence of processing baths on the modulation profile of volume holographic gratings

Over the last 20 years, dichromated gelatin has been considered to be the best holographic recording material. However, the non-reproducibility of results in relation to light sensitivity, for a large number of experimental factors, restricted the use of this material. In this work, we consider the refractive index modulation profile and its stability. We propose a mixed method using Kogelnik's coupled wave theory (an approximate theory) and an alternative theory of diffraction in modulated media (an exact theory). The aim of this contribution is to use this mixed method in order to study the evolution of the modulation profile in correlation with the modification of the chemical environment during the final stage of processing. In our study we compare the effect of different kinds of final processing baths on the refractive index modulation profile. In order to characterize our holograms we have developed an experimental set-up for diffractive elements analysis. The experimental results are compared with the theoretical ones. For the numerical study we have carried out a complete set of numerical computations by using our own programs. These programs are based on a complete and exact solution of the Maxwell equations.     

全息离子束刻蚀衍射光栅

全息离子束刻蚀衍射光栅集中了机械刻划光栅的高效率和全息光栅的无鬼线、低杂散光、高信噪比的优点．全息离子束刻蚀已作为常规工艺手段应用于真空紫外及软x射线衍射光栅的制作．文章对全息离子束刻蚀衍射光栅的制作方法、主要类型、研究现状和应用进行了综述．     

Microstructured design of metallic diffraction gratings for light trapping in thin-film silicon solar cells

In thin-film silicon solar cells, a flexible optical design for light collection is developed that can enhance the optical path length in absorber layer. In this paper, we demonstrate the rectangular, trapezoidal and triangular metallic diffraction gratings as back reflectors. The potential of the structures in the solar cells is investigated by means of numerical simulations, i.e., the Rigorous Coupled Wave Analysis enhanced by the Modal Transmission Line theory. The results show that the 0-order reflection can be suppressed and the energy can be transferred to high diffraction orders by metallic diffraction gratings, especially the triangular metallic diffraction gratings.     

亚微米光栅零级衍射特性的数值研究

用耦合波理论分析了亚微米光栅对光波场的衍射作用,给出了在TE和TM偏振入射条件下矩阵形式的耦合波方程,研究了光栅在TE偏振入射条件下可见光波段内的反射和透射零级衍射特性。亚微米光栅零级衍射效率是波长、偏振和入射角的函数,在不同照明、观察和光栅参数条件下,光栅零级衍射具有非常复杂的光谱结构,经过适当的优化光栅参数,零级衍射具有许多独特的衍射特性,在许多应用领域具有广泛的应用前景。     

Thin and thick diffraction gratings: Thin matrix decomposition method

A brief review of the properties of transmission diffraction gratings is presented. Two types of gratings will be analyzed: thin and volume gratings explaining how the efficiency of the different orders that propagate inside the gratings can be calculated in both cases. For thin diffraction gratings the so-called amplitude transmittance method is applied in order to get the amplitude of the different orders, whereas in the case of volume gratings more complex methods are needed, such as Coupled Wave or modal theories. We will comment on the thin matrix decomposition method (TMDM), firstly proposed by Alferness, which gives a very intuitive approach and connects the properties of thin gratings to the properties of volume ones. The thin matrix decomposition method consists in dividing the volume grating in a number of thin gratings and applying the amplitude transmittance method to each thin grating. In this way the output of a grating will be considered as the input of the next and any individual grating can be treated by the amplitude transmittance method. The novelty of this work is that a comparison is made between the analytical expressions obtained by Alferness using the TMDM with the numerical results obtained using the coupled wave (CW) and rigorous coupled wave (RCW) theories for the efficiencies of the zero, first and second order when a plane wave incides onto a sinusoidal diffracion grating at the second on-Bragg replay angular condition.