Coupling between gaussian and guided modes at the input and output of oversized circular waveguides

The coupling between a gaussian TEMoo bearn with HE 1m modes for dielectric waveguides and TE1m and TM1m modes for metallic waveguides is analytically studied. An optimization method allows to know HE11 or TE11 modes create gaussian TEMmm bearns at the output of the waveguide.     

Estimating Some Characteristics of the Conditional Distribution in Nonparametric Functional Models

This paper deals with a scalar response conditioned by a functional random variable. The main goal is to estimate nonparametrically some characteristics of this conditional distribution. Kernel type estimators for the conditional cumulative distribution function and the successive derivatives of the conditional density are introduced. Asymptotic properties are stated for each of these estimates, and they are applied to the estimations of the conditional mode and conditional quantiles. Our asymptotic results highlightes the importance of the concentration properties on small balls of the probability measure of the underlying functional variable. So, a special section is devoted to show how our results behave in several situations when the functional variable is a continuous time process, with special attention to diffusion processes and Gaussian processes. Even if the main purpose of our paper is theoretical, an application to some chemiometrical data set coming from food industry is presented in a short final section. This example illustrates the easy implementation of our method as well as its good behaviour for finite sample sizes.     

Exponentially Modified Gaussian functions—A good model for chromatographic peaks in isocratic HPLC?

Summary The Exponentially Modified Gaussian (EMG) function is fitted to a variety of typical peaks from isocratic HPLC, to assess its validity for peak characterization. This model has previously been applied, but with simplifying assumptions, allowing estimation of peak parameters from simple front and rear half-width measurements. The full EMG function is employed in this work. The results of the simplified approach have been compared to the EMG fitted results. Comparison is also made to fitted Gaussian functions. Results show that the EMG function is a good model for typical LC peaks, under a range of conditions, and that the simplified approaches give close correlation for a range of peak assymetries.     

虹湾地区橄榄石的光谱特征及其镁数(Fo#)分析

研究橄榄石的分布和成分,对于估测如月球类的火成岩行星体的地质演化有重要的意义。以嫦娥系列卫星探测区域虹湾地区为例,基于M3高光谱数据采用波谱特征拟合方法调查橄榄石物质的分布情况。虹湾地区橄榄石主要分布在北部坑壁和侏罗山脉山脚,且周围伴生辉石及少量斜长石。所处地层单元为撞击产生的溅射物和弹射物,地质年龄较老。以月球橄榄石样品镁数为因变量,经改进高斯模型(MGM)拟合得到的月球橄榄石样品光谱吸收中心参数为自变量,利用多元线性回归的统计方法建立月球橄榄石物质的镁数(Fo#)反演模型。在此基础上,通过MGM模型提取虹湾18个橄榄石富集点光谱的吸收中心参数,利用镁数反演模型反演虹湾橄榄石的镁数。反演结果表明,虹湾橄榄石物质的镁数较高,均值为Fo~80.84,而富镁橄榄石指示了深源特性,因此虹湾地区的橄榄石绝大多数来自于月幔。     

HIV-1逆转录酶的分子对接及运动功能相关性分析

目的 研究逆转录酶的运动性和生理功能的关系,以及N-乙酰基-β-芳基-1,2-二脱氢乙胺类衍生化合物与其的分子识别,方法 采用高斯网络模型和各向异性网络模型研究了p66和p66-DNA的运动模式差异,并用分子对接方法研究化合物与逆转录酶的识别。结果 DNA的结合对p66各区域的运动方向影响不大,但其运动的幅度大大降低。分子对接结果发现Y115和M184的疏水结构在识别的过程中起到重要作用。结论 基于各个区域的运动方向分析,推测手指区和RNase H区的开合运动可能是逆转录酶发挥逆转录功能的重要原因。并且,N-乙酰基-β-芳基-1,2-二脱氢乙胺类衍生化合物的N-甲基取代和反式的双键结构更有利于与逆转录酶的识别     

高斯过程响应面法研究

新型的高斯过程响应面法具有灵活性好、精度高和能量化不确定性等优点,但某些关键技术细节还存在争议。本文简要介绍了高斯过程响应面法的基本理论,结合算例详细讨论了关键技术细节的处理方法;提出了先验期望函数选用低阶多项式、相关函数选用高斯形式、粗糙度参数用边缘后验众数法固定、模型有效性必须经过验算点检验等应用建议。     

Quantum Superarrivals: Bohr's Wave-Particle Duality Revisted

The phenomenon of quantum superarrivals is manifested in the probabilities for Schrödinger wave packets scattered from perturbed potential barriers. We argue that both classical wave-like and classical particle-like properties can be exhibited in the same gedanken experimental set-up for obtaining superarrivals through Schrödinger dynamics. An interesting question regarding the tenet of mutual exclusiveness, a la Bohr, of these two properties is raised in the context of this phenomenon.     

广义高斯场的线性大偏差

本文考虑广义高斯场的线性大偏差．对平稳遍历广义高斯场，如果谱测度满足一定条件，则大偏差原理成立，并给出了速率函数的表达式．     

Hermite hyperbolic/sinusoidal Gaussian beams in ABCD systems

For a Hermite hyperbolic/sinusoidal Gaussian beam with focusing properties, passing through an arbitrarily shaped rectangular aperture on the source plane and an on-axis x–y asymmetric ABCD system, the receiver plane expression is derived using the Collins integral. The specific example of a single thin lens placed on the propagation path is examined at selected source, propagation and optical element parameters. Viewing the progress of the beam in propagation, we find that subjecting the source beam to an aperture will give rise to excessive spreading during propagation. The lens setup will act to concentrate the energy of the beam around its focal point as expected, while in some circumstances it will also execute beam profile changes. By adjusting the aperture opening in the shape of a narrow slit, the beam will become aligned in the opposite direction after propagating after having traveled sufficiently. The results are presented as intensity graphs in the form of contour plots and 3D illustrations.     

高维异方差高斯混合罚模型聚类

罚模型聚类实现了在聚类过程中精简变量的目标,同时如何识别聚类的有效变量成了一个新的问题.在这个问题上,已有的研究有成对罚模型,模型处理了各类数据同方差的情况.考察了异方差情况下的变量选择问题,针对异方差数据提出了两种新的模型,并给出模型的解和算法.模拟数据分析结果表明,异方差数据上两个新模型都有更好的表现.