Instability of vibrations of a mass that moves uniformly along a beam on a periodically inhomogeneous foundation

The stability of vibrations of a mass that moves uniformly along an Euler-Bernoulli beam on a periodically inhomogeneous continuous foundation is studied. The inhomogeneity of the foundation is caused by a slight periodical variation of the foundation stiffness. The moving mass and the beam are assumed to be always in contact. With the help of a perturbation analysis it is shown analytically that vibrations of the system may become unstable. The physical phenomenon that lies behind this instability is parametric resonance that occurs because of the periodic (in time) variation of the foundation stiffness under the moving mass. The first instability zone is found in the system parameters within the first approximation of the perturbation theory. The location of the zone is strongly dependent on the spatial period of the inhomogeneity and on the weight of the moving mass. The larger this period is and/or the smaller the mass, the higher the velocity is at which the instability occurs.     

钕玻璃高功率激光系统中的空间滤波器的基本研究

本文在阐明多级空间滤波器像传递对改善光束质量作用的同时,对滤波小孔的选择进行了细致的理论探讨和数值计算。并对多级空间滤波器的景深提出了新的观点。对滤波器的精调提出了一套新的实验技术。 关键词：     

超高斯光束在超短脉冲激光系统中的传输

 为了增大光束的填充因子及提高放大器的能量转换效率,设计了一种新型的空间4程放大器,该放大器包括四组由凹面镜组成的空间滤波器,它们构成一个全像传递系统。由于有实焦点,放大器置于真空系统中。放大前,入射的高斯光束首先通过一个软边光阑和一个空间滤波器,被整形为高阶超高斯光束,然后在放大器中进行放大和像传递。钛宝石晶体置于各空间滤波器的像面和物面上。实验表明,该放大器结构稳定,可以保持良好的光束质量,远场焦斑达到近一倍衍射极限。     

Role of recording geometry in the performance of spectral diversity filters with spherical beam volume holograms

We present experimental demonstrations of spectral diversity filters with spherical beam volume holograms for multimodal multiplex spectroscopy. Major properties of filters under diffuse-light illumination are discussed. The comparisons of spectral diversity between the transmission geometry holograms and the reflection geometry holograms are also studied. The results show that there is a trade-off between the degree of the spatial coherence of the source and the spectral diversity of the filter. We also conclude that the reflection geometry holograms have better spectral diversity and less sensitivity to the spatial coherence of the source.     

基于Huber的高阶容积卡尔曼跟踪算法

为改善高阶容积卡尔曼滤波算法的滤波精度和鲁棒性, 提出了一种新的基于Huber的高阶容积卡尔曼滤波算法. 在采用统计线性回归模型近似非线性量测模型的基础上, 利用Huber M 估计算法实现状态的量测更新. 进一步结合高阶球面-径向容积准则的状态预测模块构成基于 Huber的高阶容积卡尔曼跟踪算法. 重点分析了Huber代价函数的调节因子对算法跟踪性能的影响. 通过对纯方位目标跟踪和再入飞行器跟踪两个实例验证了所提算法的跟踪性能优于传统高阶容积卡尔曼滤波算法.     

Design and application of a laser beam alignment system based on the imaging properties of a multi-pass amplifier

Image relaying is presented as a technique for aligning beams onto mm-sized target of high power laser. On the basis of summarizing the preceeding work on the near-field image relaying of multiple spatial filters,the far-filed image relaying is suggested firstly. The near-field and far-field image relaying properties of multiple spatial filters in laser beams automatic alignment system are analyzed. A geometrical optics approach and an ABCD ray matrix theory are used throughout. The reasonable and optimum scheme for automatically aligning multi-pass beam paths is presented and demonstrated on the multi-pass amplifier system of the SG-Ⅲ prototype.     

FEEDFORWARD ADAPTIVE CONTROL OF FLEXURAL VIBRATION IN A BEAM USING WAVE AMPLITUDES

This paper concerns the real-time estimation of wave amplitudes and their subsequent use as a cost function in adaptive active control of bending vibrations in a beam. The amplitude of the wave propagating downstream from the control location is estimated by filtering the outputs of an array of sensors. Minimizing this wave amplitude has significant advantages over the more conventional approach in which velocity at some point is minimized. Expressions for the ideal frequency responses of the wave filters are found for the case of an array comprising two sensors in the far field. These filters are non-causal. FIR implementations designed using direct and time-delay methods are described, the latter offering some substantial advantages. Practical performance considerations are discussed, including filter length, frequency range, effects of near fields, group delays, accuracy and cross-sensitivity. Simulations and experimental measurements are performed and compared.     

Signal spatial filtering for co-phasing in seeing-limited conditions

We present the results of the co-phasing closed loop performed with a pyramid wavefront sensor for what we believe to be the first time in the presence of emulated atmospheric disturbance. The performance of the co-phasing loop is significantly improved by applying two spatial filters in the sensor signal space. The first is a zonal filter applied to the interaction matrix before the computation of the reconstructor; the second is a modal filter applied to the sensor signals before the correction command computation. The presented laboratory results demonstrate that, applying both filters, the time requested to average out the atmospheric disturbance in each loop step is reduced by 2 orders of magnitude, improving the loop stability and accuracy.     

Pupil apodization for increasing data storage density

We introduce a technique for increasing density in optical data storage systems. This technique is based on the use of a superresolving filter at the pupil of a confocal readout system. The main characteristic of this confocal readout system is that the light beam traverses twice through the pupil filter. We describe how to analyze the system performance for general filters, but we focus the study on filters with no focus displacement. Although the storage density attainable depends on the filter characteristics, we show that the storage density can be easily duplicated.     

Vibrations and buckling of a beam on a variable winkler elastic foundation

Two methods for solving the eigenvalue problems of vibrations and stability of a beam on a variable Winkler elastic foundation are presented and compared. The first is based on using the exact stiffness, consistent mass, and geometric stiffness matrices for a beam on a variable Winkler elastic foundation. The second method is based on adding an element foundation stiffness matrix to the regular beam stiffness matrix, for vibrations and stability analysis. With these matrices, it is possible to find the natural frequencies and mode shapes of vibrations, and buckling load and mode shape, by using a small number of segments. It is concluded that the use of the element foundation stiffness approach yields better convergence at lower computation costs.     

Effects of vibrations of a spatial filter in signal detection by matched filtering

In the present paper, the effect of transverse and longitudinal vibrations of a spatial filter in signal detection by optical matched filtering has been investigated. It has been assumed that the noise spectral density is uniform. Degradation in the performance of such an optical information processing system has been illustrated graphically. It is noticed that the effect of transverse vibrations is more severe than that of longitudinal vibrations. Results have also been compared with those obtained by Van der Lugt for the case of static displacement of a spatial filter.     

Real-time recognition of microscopic phase objects

A method of image enhancement and real-time input of 3-D, microscopic phase objects into a coherent optical pattern recognition system is described. The method consists of directing a low-power laser beam into a microscope objective to produce a real, magnified, coherent image of the specimen under test. The image plane is followed by two successive Fourier transform (FT) planes. In the first FT plane, low and high frequency spatial filters, one of which is photographically produced, are used as pre-processing filters to enhance the image quality. The enhanced signal is imaged from the first FT plane to the second FT plane which contains a matched spatial filter used for specimen identification. The system does not require an expensive incoherent-to-coherent light transducer and in addition, is capable of utilizing both phase and amplitude information from 3-D objects. Examples of results are given.     

Optimal design of FIR beamformer with frequency invariant patterns

Two approaches to the optimal design of FIR beamformers with frequency invariant patterns using second-order cone programming (SOCP) are proposed. The first approach is a two-step method, which is implemented via separately optimal array pattern synthesis and optimal FIR filters design. The array weights for each frequency bin within the working frequency band are designed to insure that the array patterns approximate the reference ones. And the FIR filter corresponding to each sensor is designed to insure that the frequency responses approximate the array weights. The second approach is a direct method, in which the beam response is expressed as a linear function of FIR filter tap weights and the filters are designed by jointly optimizing the spatial and frequency responses to achieve the desired array patterns. All the optimal design problems (array pattern synthesis, FIR filter design and joint optimization) are formulated as the SOCP, which can be solved efficiently using the well-developed interior-point methods. Results of computer simulations and lake experiment for a twelve-element semicircular array confirm satisfactory performance of the two approaches proposed in this paper.     

Hyperresolving phase-only filters with an optically addressable liquid crystal spatial light modulator

Hyperresolving (sometimes called 'superresolving' or 'ultraresolving') phase-only filters can be generated using an optically addressable liquid crystal spatial light modulator. This approach avoids the problems of low efficiency, and coupling between amplitude and phase modulation, that arise when using conventional liquid crystal modulators. When addressed by a programmed light intensity distribution, it allows filters to be changed rapidly to modify the response of a system or permit the investigation of different filter designs. In this paper we present experimental hyperresolved images obtained using an optically addressable parallel-aligned nematic LCD with two zone Toraldo type phase-only filters. The images are compared with theoretical predictions.     

Propagation of a flattened Gaussian beam through multi-apertured optical ABCD systems

By expanding the hard-aperture function into a finite sum of complex Gaussian functions, the recurrence propagation formula of a flattened Gaussian beam through multi-apertured optical ABCD systems is derived, and the propagation of a Gaussian beam is regarded as a special case in our theoretical model. The extension to the three-dimensional case is described. Numerical examples of the beam propagation through a multiple aperture-lens system and an aperture-spatial filter are given and compared with those by the straightforward numerical integration of the Collins formula. It is shown that our analytical results give a good trade-off between the computational time and accuracy, and provide a useful tool for simulating the beam propagation through complicated optical systems including multiple apertures and spatial filters. Finally, a comparison with the previous work is made and the main results obtained in this paper are summarized.     

Phase filter design for sharper focus of radially polarized beam

Based on vector diffraction theory, a phase-only filter with cosine function is proposed and a sharper focal spot of radially polarized beam is obtained on the focal plane. The function parameters of the filter are optimized and a series of optimized filters for different Strehl ratio S are given. The optimization results show that there is a significant improvement on obtaining sharper focal spot with this new type of filter. Compared with other results, this type of filters has superior supperresolution effect and higher energy utilization ratio. The numerical calculation results about the phase filter may facilitate new approaches to get superresolution.     

基于角度散布指数的波束域宽带混响抑制（英文）

Based on the properties of wideband source's spatial spread,an algorithm for reverberation suppression in beams domain is proposed.In an effective observation range,a compact bank of receiving spatial beams is operated to transform the data from element domain to beam domain.Angular Distribution Index(ADI) is obtained by comparing to a reference value which is computed by Monte Carlo Integration.ADI decreases with a stronger target echo.Hence,choosing an appropriate threshold of ADI,the target echo can be separated from reverberation by cutting off the high AD components.The filter is compatible with the procedures of beamforming and detection for the current sonar.The computation complexity of the filter is low.The relationships between ADI and frequency,bandwidth,signal-reverberation ratio,are illustrated by a simulation example.The processing results based on the lake-trial and sea-trial data show that reverberation can be significantly suppressed,and threshold choosing for wideband ADI filter is fault tolerant.     

Femtosecond pulsed laser ablation with spatial filtering

With the rise in demand for miniaturized features with better acute edge acuity and negligible thermal damage zone, one of the key vital areas lies in the refinement of the quality of the laser beam itself. Spatial filter is routinely used in optical micromachining systems to smoothen the Gaussian profile of the machining spot in order to obtain a feature of the desired quality. However, its profile smoothening effect has never been investigated for femtosecond pulsed laser micromachining process since the extremely high peak power of femtosecond pulses will cause damage on the filtering aperture of spatial filter. During the development of an acousto-optical micromachining system using femtosecond pulses, we found that if the damage of the filtering aperture can be circumvented, spatial filter can improve the machining quality of femtosecond pulse ablation, especially when ablation is conducted at low-fluency range (just above the ablation threshold fluency). In this paper, we investigate and demonstrate both the improvement and potential that beam refinement can bring about. In our experiment, a series of test patterns were ablated with a 400 nm second-harmonic Ti:Sapphire femtosecond laser of 150 fs duration at varying pulse energy ranging from 31 to 39 nJ. The specimen used in the experiment is a platinum- (Pt) sputtered coating of 100 nm thickness on a quartz substrate. The results show a significant improvement in the constancy of the shape as well as the size of ablated feature, revealing an improved beam profile and beam energy distribution due to spatial filtering.     

Computer generated spatial filters for large object formats

A cheap computer generated hologram (CGH) contains 32 × 32 sampling cells, typically. When using a cheap CGH as spatial filter, the input object is also restricted to 32 × 32 sampling or resolution cells. However, practical objects are much larger. Sufficiently large filters would be too expensive in terms of computing and plotting time. We present a new method for producing CGH spatial filters. We were able to produce a 160 × 160 cell CGH filter with computing and plotting labour for only 32 × 32 sampling cells. We used that spatial filter as matched filter for pattern detection.     

薄膜滤光片的光学稳定性研究

薄膜滤光片中心波长的稳定性是非常重要的参量.这不仅取决于膜层的聚集密度,而且与薄膜材料和基板的折射率温度系数及线性膨胀系数有着紧密的关系.本文根据滤光片的实验参量,分析计算了它们对滤光片中心波长漂移影响的大小,并提出了改善稳定性的途径.