基于基函数展开方法处理具有陡峭界面的Abel反演问题

在激光聚变研究中,存在大量具有陡峭不连续界面特性的靶丸等离子体诊断问题,需要借助Abel反演方法对结果进行分析。 提出了一种基于基函数展开处理不连续径向分布的Abel反演方法,采用带约束的Landweber迭代法求得优化结果。利用该算法可以对不连续阶跃分布进行比较准确的反演,获得阶跃结构特征。在理想情况下,针对不连续阶跃分布的反演方差好于10-4,即使在存在一定噪声的情况下也仍然可以获得较好的结果。该方法可用于对激光聚变研究中压缩过程中球壳的背光照相、自发光成像、光谱测量等诊断结果的数据分析。     

一种基于连续核函数展开的跨声速气动力修正法

现有的跨声速修正面元目的 大多难以准确修正非定常压强系数的虚部.结合下洗修正目的 和连续核函数展开法(Successive Kernel Expansion Method),发展了一种新的修正目的.计算ONERA M6机翼的非定常气动力,与传统修正目的 比较,结果表明该目的 具有更高的精度.将改进的非定常气动力用于机翼的跨声速颤振分析,较好地预测了机翼在跨声速区域的非线性颤振特性.     

一种声速剖面展开的正交基函数获取方法

为了评估经验正交函数(Empirical Orthogonal Functions)在声速剖面的声学反演应用中的可靠性和适用性,降低声速剖面基函数的获取对样本数据的依赖性,提出了一种声速剖面展开的正交基函数的获取方法.该方法通过分析引起声速剖面变化的海洋动力学过程,利用动力学方程求解得到的水动力简正波(Hydrodynamic Normal Modes)来给出声速剖面展开的基函数.HNMs方法获得的声速剖面正交基函数与EOFs方法的结果非常吻合,且对样本数据的依赖性小。HNMs方法物理意义清晰,能够给出决定声速剖面正交基函数的物理参数,使评估经验正交函数的准确性和适用性成为可能。     

基于同步辐射的快速扫描X射线微束荧光成像方法

在上海光源硬X射线微聚焦光束线站(BL15U1)上, 基于EPICS软件平台, 集成运动控制, 光强探测, 荧光探测等功能, 实现了"飞行"模式 (on-the-fly) X射线扫描微束荧光成像方法. 用"飞行"扫描X射线荧光成像法获得了标准镍网, 以及微量元素Cu, Zn,K, Fe在样品老鼠脾内的分布图像, 结果显示该方法不但在速度上有了极大的提高, 而且获得的元素分布图像具有高质量. 关键词： 快速扫描X射线微束荧光成像 同步辐射 微量元素分布     

基于高阶叠层矢量基函数的E-H时域有限元方法分析谐振腔和波导结构

将高阶叠层矢量基函数用于E-H时域有限元方法,电场和磁场用相同的基函数展开并同时求解,时间离散采用Crank-Nicolson差分格式使得时间步长的选取摆脱稳定性条件的限制,同时采用完美匹配层来截断计算区域.对三维谐振腔及波导结构进行数值模拟与分析,结果表明,相较于低阶基函数,高阶叠层矢量基函数可以有效提高E-H时域有限元方法的计算精度.     

势问题的径向基函数——局部边界积分方程方法

将基于径向基函数构造的具有插值特性的近似函数和局部边界积分方程方法相结合，建立了求解势问题的径向基函数——局部边界积分方程方法，推导了相应离散方程.与其他边界积分方程的无网格方法相比，本文方法具有数值实现过程简单、计算量小、精度高的优点，并可直接施加边界条件.最后通过算例说明了该方法的有效性. 关键词： 径向基函数 无网格方法 局部边界积分方程 势问题     

基于Zernike多项式和径向基函数的自由曲面重构方法

对于梯度变化较大的光学自由曲面,采用模式化方法对光学面整体重构,其重构精度受到限制,无法满足要求,而且曲面局部特性无法精确表征。针对以上问题提出了基于Zernike多项式和径向基函数的自由曲面重构方法,提高自由曲面的重构精度。将整个自由曲面分解为多个圆形子区域,在各个圆形子域中采用Zernike多项式作为基函数进行曲面局部拟合,然后利用径向基函数形成整个自由曲面。通过数值实验对5种不同类型的曲面进行重构分析,实验结果表明,自由曲面重构精度优于纳米量级,验证了所提重构方法的适应性和高精度,在现代光学系统制造和检测中具有一定的应用前景,同时对自由曲面重构中的一些关键问题进行了讨论分析。     

基于双向偏振态激光诱导荧光方法的离子速度分布函数测量

为了评估利用发散磁场构型双电层效应的紧凑式螺旋波等离子体推力器的离子加速效果,探索了一种双向偏振态激光诱导荧光测量方法来对螺旋波等离子体源近出口端的离子速度分布函数进行测量。实验中采用Ar作为螺旋波等离子体源工质,中心波长为611.662 nm的激光以轴向方式注入等离子体,以激励一价Ar离子获得波长为461.086 nm的诱导荧光光谱。为了消除磁化等离子体中逆塞曼效应对激光诱导荧光光谱带来的分裂影响,通过四分之一波片将入射激光分别调制为左旋和右旋圆偏振态,并对其诱导光谱进行了分别测量,结果发现不同磁场强度下两次测量结果的偏移值与理论高度吻合,证明了双向偏振态激光诱导荧光测量方法的理论可行性。进一步,采用高斯型滤波器反卷积算法从测量光谱中去除自然展宽和能量饱和效应,再通过对两次相反偏振态测量结果进行平移处理消除逆塞曼效应,从而分离得到实际的多普勒效应。测量了射频能量600 W,不同轴向位置、磁场大小以及气体压力下的螺旋波Ar等离子体激光诱导荧光光谱,结果表明在该实验条件下离子并没有因双电层效应而达到期望值的加速效果,离子速度的形成可能只是一种磁约束作用下的双极电场所导致,并不能产生好的推力性能。     

基于径向基函数和Delaunay图映射的高效高鲁棒性的非结构网格变形方法

对于气动外形优化、气动弹性计算等涉及更新流场计算网格的问题,网格变形方法的效率和鲁棒性对整个研究过程有显著影响。其中径向基函数(radial basis function, RBF)方法能够保证较高的网格质量,但是当空间及物面网格数量较多时效率极低。而Delaunay图映射(Delaunay graph mapping, DGM)方法效率很高,但在大变形时网格质量会迅速下降。因此,将结合RBF和DGM两种方法的优点,利用网格聚合方法自动生成背景网格,通过RBF方法更新背景网格,解决DGM方法无法适用于物面大变形的问题,利用DGM方法提高变形效率,建立一种高效高鲁棒性网格变形方法。通过对比,网格变形质量方面该方法能够和RBF方法基本保持一致,且对于本文三维网格算例,网格变形效率较RBF方法能够提升90%以上。     

A statistical geoacoustic inversion scheme based on a modified radial basis functions neural network

This paper addresses the task of recovering the geoacoustic parameters of a shallow-water environment using measurements of the acoustic field due to a known source and a neural network based inversion process. First, a novel efficient "observable" of the acoustic signal is proposed, which represents the signal in accordance with the recoverable parameters. Motivated by recent studies in non-Gaussian statistical theory, the observable is defined as a set of estimated model parameters of the alpha-stable distributions, which fit the marginal statistics of the wavelet subband coefficients, obtained after the transformation of the original signal via a one-dimensional wavelet decomposition. Following the modeling process to extract the observables as features, a radial basis functions neural network is employed to approximate the vector function that takes as input the observables and gives as output the corresponding set of environmental parameters. The performance of the proposed approach in recovering the sound speed and density in the substrate of a typical shallow-water environment is evaluated using a database of synthetic acoustic signals, generated by means of a normal-mode acoustic propagation algorithm.     

An expansion method for the Monte Carlo distribution function

We present and test an expansion method for calculating the distribution function of mobile electrons in semiconductors in a drifting homogeneous electric field. This expansion represents an extension of the drifted Maxwellian method and correctly reproduces the exact Monte Carlo distribution function even in high fields.     

从散射谱反演颗粒尺寸分布的测试方法改进

针对从散射谱反演颗粒尺寸分布测量中,由于衍射近似要求近前向取值而带来的反演噪声问题,提出了一种改进的方法.在Chin-Shifrin(C-S)积分变换反演中,插入一种调节函数使得噪声基本消失,又不至于影响反演谱的分布峰位置.对理想单分散颗粒群的模拟效果说明了该法的可行性.对以线阵CCD为接受器件的实验测量和反演结果显示...     

A simple Abel inversion method of interferometric data for temperature measurement in axisymmetric medium

In this work, we describe a simple method of Abel inversion for temperature measurement in a natural convection axisymmetric flow. The essence of the method is that the measured lateral fringe shift profile is fitted with a polynomial with only even powers and then Abel inverse integral is evaluated analytically. This technique is compared with recent existing methods to test the accuracy and error propagation using a simulated interferogram of natural convection flow below a downward-facing heated horizontal disk in air. For this comparison, lateral fringe profiles are simulated using temperature fields computed by solving Navier Stokes and energy equations. Through random-number generation, noise profile is artificially added to the simulated noise-free lateral fringe shift profile. The results showed that the proposed technique for Abel inversion leads to accurate temperature profiles when the lateral fringe shift profile is fitted with even-power polynomials having degrees ranging from 20 to 30.     

A new method of asymmetric Abel inversion for magnetic equilibrium configuration state in tokamaks

It is difficult to obtain the asymmetrical factor along the observation direction parallel to the plasma mid-plane when the detected radiation is also in the mid-plane. This paper considers the magnetic surfaces and Grad--Shafranov shift, and develops a new method for inverse asymmetric electron density information, during magnetic equilibrium configuration in a tokamak.     

基于径向基函数网络的激光诱导荧光特征光谱分离算法

应用激光诱导荧光技术测量水中溶解有机物(DOM)含量，具有灵敏度高、检测速度快、可遥测等优点，其中特征荧光光谱的分离在系统中占有十分重要的地位.在分析激光诱导荧光光谱特征的基础上，提出了采用径向基函数网络(RBFN)分析荧光光谱数据的数学模型，应用这种模型从荧光光谱中恢复出了激光、拉曼和DOM的荧光等光谱分量成分，从而得到了水中DOM的浓度. 关键词： 径向基函数网络 激光诱导荧光 溶解有机物     

All-electron GW approximation with the mixed basis expansion based on the full-potential LMTO method

We present a new all-electron, augmented-wave implementation of the GW approximation using eigenfunctions generated by a recent variant of the full-potential LMTO method. The dynamically screened Coulomb interaction W is expanded in a mixed basis set which consists of two contributions, local atom-centered functions confined to muffin-tin spheres, and plane waves with the overlap to the local functions projected out. The former can include any of the core states; thus the core and valence states can be treated on an equal footing. Systematic studies of semiconductors and insulators show that the GW fundamental bandgaps consistently fall low in comparison to experiment. Also the quasi-particle (QP) levels differ significantly from other, approximate methods, in particular those that approximate the core with a pseudopotential, or those that include valence states only.