一种新的非球面零朗奇检测法

提出一种新的零朗奇检测法用于测量大口径非球面镜的面形。利用光线追迹和正弦条纹的相位信息设计补偿正弦光栅。使用透射液晶显示屏显示补偿正弦光栅并作为相移装置。一个离轴点光源发出的光被镜面反射后通过补偿正弦光栅,摄像机记录携带镜面偏差信息的相移条纹图。通过对相移条纹图的分析确定被测镜面的实际横向像差以及对应的理想横向像差,然后基于朗奇检测的几何原理得到被测镜面的偏差梯度,对其积分获得被测镜面的偏差,进而重建被测镜面的三维面形。与传统的零朗奇检测法相比,这种方法可以消除补偿光栅上每个条纹带边缘的锯齿形状,而且可以获得镜面上足够多的待测点信息。计算机模拟和初步实验验证了该方法的可行性。     

基于俯视SEM图像的矩形光栅占宽比检测方法

提出了一种利用俯视SEM图像检测矩形光栅占宽比的新方法。对目标检测图像进行灰度轮廓预处理,接着进行基于动态规划和最小二乘样条逼近的边缘检测,最后按照设定的量化评价标准,计算出目标区域内的光栅占宽比的平均值和标准偏差。使用该方法不仅可以快速准确地计算出目标区域内的光栅占宽比和量化评价占宽比空间分布均匀性,也避免了具有破坏性的制样过程,弥补了传统断面测量方法的不足。编写了用于矩形光栅占宽比检测的图像处理软件GradUI。使用此软件对一组1 200 线/mm矩形光栅的俯视SEM图像进行检测分析,发现平均占宽比与灰度轮廓估算值的均方根偏差为0.017 3。结果表明,基于俯视SEM图像的矩形光栅占宽比检测方法是有效可行的,同时,也验证了软件的可靠性。     

Random period arc-induced long-period fiber gratings

We report the fabrication of arc-induced long-period fiber gratings with strong random variations in the period. Long-period fiber gratings with standard deviations in the period from 8.50 to 36.98 μm were fabricated. The spectral position of the resonant bands is determined by the average period value, being similar to that observed in a long-period fiber grating with a fixed period equal to the average period of the random grating. Moreover the notch bands keep the shape characteristics like wideband and depth compared with a long-period grating with a constant period. In addition, their sensitivity to external parameters such as ambient refractive index is not too different with that of fixed period long-period gratings.     

Analysis of optical propagation in thick holographic gratings

A method of analyzing optical propagation in thick holographic gratings by decomposition of the thick material into thin gratings is discussed. The method is readily applicable to study propagation in multiple gratings of arbitrary spatial frequency and orientation recorded in the same thick emulsion. Applied to the double grating case, the method predicts strong cross-coupling between the two gratings for proper relative slope of the gratings. Results are given.     

多波长啁啾叠栅的矩阵分析

在分析多波长啁啾叠栅特征的基础上,提出了多波长啁啾叠栅的矩阵分析模型,采用矩阵分析模型对4波长和8波长啁啾叠栅的反射谱特性进行了理论分析,数值分析结果与实验结果非常一致.还首次数值模拟了波长间隔0.8 nm的16波长啁啾叠栅.此方法对多波长啁啾叠栅的设计和制作具有参考价值.     

Efficient iterative technique for designing Bragg gratings

We present a new iterative method for designing Bragg gratings based on the Levenberg-Marquardt method of minimizing a chi-squared merit function. It is effective for designing both weak and strong gratings and is particularly well suited for unchirped gratings.     

Analysis of Complex Dielectric Phase Gratings by Hybrid FEM-Gaussian Mode Expansion Technique

Hybrid technique of finite element method (FEM) and Gaussian mode expansion method is implemented for the analysis of transmission property of dielectric phase gratings used in holographic power combining systems. It takes advantages of the versatility of FEM and the simplicity of the mode expansion method. Apparently, this hybrid method is well suited for the analysis of phase gratings with complex profiles, which provide more degrees of structural freedom than those of classical rectangular groove gratings. The transmitted fields of an array of two and three fundamental Gaussian beams through the multi-stepped and curved gratings are calculated by the hybrid method. Numerical results show that much less phase distortion can be fulfilled for the reconstructed pseudo-plane wave by the modified phase gratings, especially the curved ones. This is advantageous for improving the combining efficiency in spatial millimeter wave and sub-millimeter wave power combining systems.     

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.     

Genetic algorithm-based design method for multilevel anisotropic diffraction gratings

We developed a method for the design of multilevel anisotropic diffraction gratings based on a genetic algorithm. The method is used to design the multilevel anisotropic diffraction gratings based on input data that represent the output from the required grating. The validity of the proposed method was evaluated by designing a multilevel anisotropic diffraction grating using the outputs from an orthogonal circular polarization grating. The design results corresponded to the orthogonal circular polarization grating structures that were used to provide outputs to act as the input data for the process. Comparison with existing design methods shows that the proposed method can reduce the number of human processes that are required to design multilevel anisotropic diffraction gratings. Additionally, the method will be able to design complex structures without any requirement for subsequent examination by a human designer. The method can contribute to the development of optical elements by designing multilevel anisotropic diffraction gratings.     

The Effect of Radiation on Transmission of Quasi-Periodic Multi-Layer Planar Dielectric Gratings

The transmission characteristics of quasi-periodic multi-layer planar dielectric gratings are systematically investigated by a method that combines the multimode network theory with rigorous mode matching method. The effect of radiation on the transmission characteristics of the multi-layer dielectric gratings is discussed in details, and some guidelines are given for accurate design of the gratings.     

profile measurement by projecting two gratings with different pitches

A new method for measuring objects with steps is proposed in which two gratings with different pitches are projected on the object surLace. The method is demonstrated with sinusoidal gratings made of laser interference fringes and also sinusoidal gratings formed by liquid crystal controlled by computer. An object with step height of 20 mm is measured with standard variation below 3%.     

Producing and testing binary amplitude gratings using a self-imaging and double-exposure technique

The influence of illuminating beam aberrations and master grating deviations on the performance of the technique of producing arbitrary opening ratio binary gratings using the self-imaging and double-exposure technique is studied analytically and experimentally. It is shown that due to the shear effect encountered in the direction perpendicular to the grating lines and due to the lateral displacement implemented between the two exposures the technique is sensitive to the first derivative of grating in-plane displacements and to the second derivative of the beam and grating out-of-plane errors.     

1维介质光栅近场及其衍射的FDTD分析

 应用FDTD方法计算了单色平面波斜入射时1维介质光栅的近场，进而求出介质光栅的衍射效率。借助于周期边界条件，整个计算区域为周期结构的一个单元。考虑入射波在两种介质界面上会产生反射和透射，故在总场边界上引入入射波、反射波和透射波。给出了光栅单元截面为矩形和梯形的算例。该方法可用于斜入射情形下具有复杂结构和任意单元截面的介质栅近场及其衍射特性分析。     

三角形大带宽反射光谱光纤光栅的设计和制备

反射谱具有三角形形状的光纤光栅在光纤传感等领域中具有重要的应用前景。利用遗传算法设计出了产生三角形光谱分布的光纤光栅的耦合系数沿光纤的分布。计算表明,三角形光谱光纤光栅是可以实现的,其反射带宽可以通过光栅的啁啾量进行调节,常周期的三角光栅反射带宽小,变周期的三角光栅反射带宽大,其带宽同其啁啾量大致相等。实验中,采用光束扫描法制备了反射底宽为0．77nm三角形光谱的光纤光栅。     

Profile formation in holographic diffraction gratings

A theoretical method is outlined for the calculation of the profiles of holographic diffraction gratings produced in photo-resist. This method is shown to give results in agreement with all experimental observations of such profiles. Consideration is then given to the flexibility of arrangements for the formation of holographic gratings and an experimental system is discussed which fully utilizes this flexibility. The wide range of profiles which may be generated with such a system is demonstrated. Finally a theoretical programme of investigation is suggested which may well make possible the formation of holographic gratings of greatly improved spectral performance.     

Complete Polarization Conversion Characteristics of Dielectric Grating Composed of Left-Handed Materials

The TE/TM polarization conversion characteristics of dielectric grating composed of left-handed materials for the case of plane wave oblique incidence are carefully investigated by a method which combines the multimode network theory with the rigorous mode matching method. It is indicated that complete polarization conversion between TE and TM modes can be realized using left-handed gratings. This can hardly achieve in the conventional right-handed gratings. Comparisons of polarization conversion properties between right-handed gratings and left-handed gratings are given with physical explanations. This unique merit of left-handed periodic structure is of important significance for accurate design of new millimeter wave TE/TM polarization converters.     

零像散宽波段平场全息凹面光栅的优化设计

平场全息凹面光栅的理想像面应为一平面,此时子午焦线与弧矢焦线均位于像面内且彼此重合,形成接近理想像点的光谱像。但子午焦线总是存在弯曲,只有弧矢焦线在满足一定条件的情况下可以成为直线。鉴于此,提出一种满足平场弧矢焦线条件的平场全息凹面光栅设计方法。利用光学设计软件ZEMAX研究了运用此方法设计的零像散光栅的成像特性,并与原有设计方法得到的结果进行比较。模拟结果显示,满足平场弧矢焦线条件的光栅能够达到与原有方法所设计光栅相当的光谱分辨率,而其全波段零像散特性使其拥有更加出色的弧矢方向聚焦性能,显著提高平场光谱仪的信噪比。     

A comparison of the optical path and differential equation methods for optically thin phase gratings

It is shown that the optical path method may lead to an approximate solution of the wave equation valid under a wide range of conditions for slanted phase gratings of arbitrary profile. Analytic solutions are given for sinusoidal and sawtooth gratings, and the accuracy of the approximations is checked by comparison with numerical solutions. The conditions under which sawtooth gratings may yield 100% efficiency are clarified.     

基于啁啾光纤光栅的色散补偿器在超长距离密集波分复用系统中的应用

对啁啾光纤光栅在超长距离多波长传输系统中应用时所存在的问题进行了研究，主要分析了多波长级联的啁啾光纤光栅之间的串扰，并提出了利用相干长度法来抑制不同信道间啁啾光纤光栅串扰的方法.在此基础之上实现了基于光纤光栅色散补偿的8×10Gbit/s,1500km G.652光纤上的传输系统. 关键词： 光纤通信 色散补偿 啁啾光纤光栅