形体细胞的MCEM模型及其光散射分布特征

针对光散射细胞微粒测量中真实形体细胞的取向对测量结果的影响问题，基于Rayleigh-Debye-Gans理论和双椭球核式(CEM)模型在应用中的差异，建立了CEM的修正模型(MCEM)，根据此模型系统讨论了细胞在不同入射角变化情况下其光散射强度分布所产生的变化，得到了不同入射角下有核细胞光散射强度分布与有核细胞相关物理特征量的动态响应关系；此外，对有核细胞光散射强度分布进行拟合，得到了有核细胞光散射强度分布函数。误差分析表明：拟合结果可有效地应用于真实细胞光散射测量中的数值反演计算。     

辐射传输介质散射相函数的蒙特卡洛算法

复分散系相函数在辐射介质传热中是关键参数,蒙特卡洛法兼具数值算法与试验测量的优点.利用该方法计算复分散系的多重散射相函数克服了以往算法的缺点,可以体现多重散射的影响,并且可以计算任意形状控制体的相函数.大量的数学实验发现当介质系密度增大时,散射能量在4π空间内分布趋于均匀.     

再入体缩比模型湍流等离子体电磁散射特性测量

介绍了在弹道靶上利用二级轻气炮发射再入体缩比模型开展湍流等离子体电磁散射特性模拟试验方法、湍流等离子体的雷达散射截面积(RCS)测量方法。给出了模型尾迹湍流等离子体的电磁散射特性测量典型试验结果,对获得的试验结果进行了分析,并与一阶畸变波Born方法计算结果进行了比较。结果表明:合理选择缩比模型发射速度和飞行环境压力,在弹道靶上能够模拟产生湍流等离子体;利用激光阴影成像技术获得的锥模型尾迹流场图像证实了尾迹转捩的出现及其湍流形成;在给定的试验条件下,锥模型及其绕流RCS测量值比其尾迹RCS测量值高3个数量级,比背景散射电平高0.5~2.5个数量级,且信号没有周期性,幅度脉动范围为1~15dB,频率脉动范围0.4~40kHz;锥模型湍流尾迹RCS的脉动可能是尾迹电子密度的脉动引起的;单站X波段雷达系统测量的锥模型尾迹亚密湍流等离子体的散射信号测量值与计算结果变化规律一致;弹道靶RCS测量技术可用于再入体缩比模型湍流等离子体电磁散射特性研究,为开展相关研究提供了一种有效的地面模拟实验研究途径。     

基于神经网络的粗糙表面双向反射分布函数建模

分析粗糙表面双向反射分布函数的测量方法,提出一种使用人工神经网络技术建立目标表面材料双向反射分布函数模型的方法。给出测量样品多个入射角度下的BRDF随散射角变化的曲线,从中选取部分曲线输入到神经网络,使用贝叶斯正则化方法训练网络,最终获取双向反射分布函数和入射角、散射角的映射关系模型。使用网络模型计算参与训练和未参与训练的输入角度的散射分布曲线,与实验测量曲线进行比较,结果表明：建立的模型正确,具有应用价值。     

2p-1h多重散射关联对17O和15O能谱的贡献

本文应用格林函数方法与多重散射理论^[1]分析了2p-1h(两个粒子一个空穴)多重散射关联对¹⁷O和¹⁵O能谱的贡献.在我们的计算中,采用的核力为paris位,并严格顾及了G矩阵的能量相关性.数字计算结果与实验值符合较好.     

推广的Glauber理论及其在晕核散射中的应用

介绍了推广到晕核散射的Glauber理论,并用其研究晕核¹⁴Be的散射问题.弹核的密度分布分别采用谐振子密度分布和相对论平均场理论计算得到具有两个晕中子结构的密度分布,对晕核模型的多重积分采用蒙特卡洛数值积分方法.计算了不同能量下¹⁴Be,¹²Be与靶核¹²C散射的反应截面,并与实验结果进行比较,¹⁴Be的两个中子采用具有晕中子密度分布的理论计算与实验符合较好,而采用不具有晕中子密度分布的结果与实验值相差较大.     

椭圆截面非球形颗粒群的多重光散射

尽管非球形下一些特殊形状颗粒的单散射已被得到,球形多颗粒系（颗粒群）的多重散射也被研究,但至今仍未得到非球形颗粒群的多重散射.文中建立了一类椭圆截面非球形颗粒模型,求得其散射相位函数,借助于辐射传播方程,考虑形状及大小分布,得到了该类颗粒群的多重光散射.在两种特例情况下的结果能与已有的结果符合较好,说明了方法的可靠性.计算分析表明：非球形颗粒群的多重散射光强角分布要比球形颗粒平坦.椭圆截面颗粒的粒度或形状参数越大,多重散射光越集中于小的散射角;粒度分布或形状分布越宽,多重散射光强的角分布越平坦.随着光学厚 关键词： 多重光散射 颗粒 非球形 椭圆截面     

涂层目标1.06μm偏振双向反射分布函数测量方法研究

为了获取复杂涂层目标的光学散射特性,介绍了一套全自动偏振双向反射分布函数测量系统,可以测量半球空间内几乎所有角度下的偏振双向反射分布函数。采用双波片旋转法实现了对光的偏振调制,利用离散傅里叶变换反演出了涂层目标的Muller矩阵。给出了某涂层样品的测量结果与模型的计算比较。结果表明,这种方法是一种测量涂层目标偏振双向反射分布函数的有效方法。     

水中气泡上的体散射函数的模拟与计算

基于几何光学的基本原理,推导出一种可以计算水中大尺度气泡上光散射角度与强度的关系式。推导中避免引入衰减因子G,较Davis模型更为简单。该模型可应用于光在水中单个气泡上散射的数值计算。最后,模拟计算了平行光束入射水中气泡的体散射函数曲线,发现水中气泡的前向散射远大于后向散射;当气泡半径在远大于光波波长的前提下变化时,气泡上散射光强分布规律与气泡半径无关;而介质相对折射率的增大会削弱前向散射而增强后向散射光强。     

基于前向近红外散射光谱测量雾和雨天大气消光的应用研究

在可见和近红外区,由于大气的吸收作用忽略不计,大气消光由散射决定,主要贡献来自于雾滴、雨滴、其他形式降水和小粒子。基于前向近红外散射光谱的前向散射式能见度仪(FVM)采用近红外的LED光源照射到约100 mL的空气体积上,并测量前向30°～36°范围内的粒子的散射光强。由于该前向角范围内,雾滴和霾粒子的散射相函数不受粒子尺寸分布的影响,经过波长校正后,散射强度与大气消光系数成正比,该散射消光比通过对比标准人工观测值获得。然而,在把雾和霾的散射消光比应用到雨天测量时,会产生难以接受的误差。要得到雨天消光的准确测量,就需要找到适合雨滴的散射消光比。基于Mie散射理论计算了不同尺寸分布下的雾滴和雨滴的散射相函数,并对雾天和雨天下FVM的测量值与人工实际观测值进行了对比分析,发现FVM在雨天的消光要比人工观测值高出约20%～60%。根据测量结果,可以定出FVM在雨天测量的校准系数,因此,基于前向近红外散射光谱的FVM不仅能够测量雾天的大气消光,还能对雨天的消光进行较准确的估算     

Determination of the Resultant Deflection Angle of a Particle Multiply Scattered by Nucleons of a Nucleus

The present paper considers scattering of high-energy nucleons by nuclei based on the diffraction approach that takes into account the effects of multiple scattering. The optical potential is used to describe multiple scattering in the inhomogeneous nuclear matter. A formula for the scattering wave intensity is derived in the heavy nucleus approximation. The results obtained are used to calculate the deflection angle of a charged particle multiply scattered by nucleons of a nucleus.     

USING THE MULTIPLE SCATTERING THEORY FOR CALCULATION OF THE RADIATION FLUXES FROM EXPERIMENTAL AEROSOL DATA

The ground-based measurements of the spectral direct solar radiation fluxes and spectral sky radiances were basis for obtaining the aerosol characteristics such as columnar distribution function and effective refractive index, respectively. These characteristics were retrieved by a numerical solution of the inverse problem. The particle columnar size distribution function was chosen in the form of modified gamma distribution. The obtained aerosol parameters were utilized as input data for the multiple radiation scattering model (MRSM) to calculate the radiation fluxes. The dependence of calculation error of individual radiation characteristics (sky radiance, global and diffuse radiation) on a given number of terms NT (scattering orders) in the MRSM is studied. The NT necessary for successful calculation of radiation characteristics (for chosen accuracy) for actual atmospheric conditions is shown (aerosol optical properties were characterized, e.g., by spectral optical thickness). The approximate formulae for calculating the total sky radiances and total radiation fluxes, are find. Applying these formulae the value NT′ smaller than NT can be used for calculating radiation characteristics with the same accuracy. The scattering orders higher than NT′ are calculated on the basis of a known structure of previous scattering orders (1→NT′).     

Optical properties of pigmented coatings taking into account particle interactions

A T-matrix approach is used to obtain the orientation-averaged scattering and absorption cross sections of randomly oriented particle clusters, and the average angular distribution of the radiation scattered by them. The coefficients involved in the expansion of the phase function are obtained from this T-matrix approach, and used in a multiple scattering formalism to characterize the angular distribution of the diffuse radiation propagating through a particulate coating perpendicularly illuminated with collimated visible radiation. Asymmetry between forward and backward propagating diffuse radiation intensities is taken into account by means of this multiple scattering approach, which is based on solving the radiative transfer equation for successive scattering order contributions. A four-flux model is applied to compute the reflectance in terms of wavelength of the incident radiation and particle concentration. An application of the formalism is carried out to predict the optical properties of titanium dioxide pigmented polymer coatings, in terms of the pigment volume fraction and the degree of aggregation.     

On the various derivations of the energy dependence of the empirical optical potential

The predictions of the energy dependence of the real part of the empirical optical potential implied by the formulations based on nuclear reaction theories and on the multiple scattering approach are compared. The recent data on the nucleon-nucleon forward scattering amplitude obtained from phase-shift analyses, direct measurements and dispersion relations are used. The meaning of the local expression obtained in the multiple scattering formalism is discussed and it is shown that its implications agree with those derived by the nuclear-theories approach.     

Total cross sections for scattering of electrons from O2, H2O, H2, O3, CO and CO2 at 100－2000eV

A complex optical model potential rewritten by the concept of bonded atom, which considers the overlap of electron clouds, is employed to calculate the total cross sections for electron scattering from several simple molecules (O_2, H_2O, H_2, O_3, CO and CO_2) consisting of C, H and O atoms in an incident energy range of 100－2000eV by the use of the additivity rule at Hartree－Fock level. In the study, the complex optical potential composed of static, exchange, correlation polarization plus absorption contributions firstly uses the bonded-atom concept. The quantitative molecular total cross section results are compared with experimental data and with the other calculations wherever available and good agreement is obtained. It is shown that the additivity rule along with the complex optical model potential rewritten by the concept of bonded atom can be used successfully to calculate the total cross section of electron－molecule scattering above 100eV, whereas the rule together with the complex optical model potential not rewritten by the concept of bonded atom is only successfully used above 300－500eV. So, the introduction of the bonded-atom concept in the complex optical potential can improve the accuracy of the total cross section calculations.     

A Modified Potential Method for Electrons Scattering Total Cross Section Calculations on Several Molecules at 30 ～ 5000 eV: CF4, CCl4, CFCl3, CF2Cl2, and CF3Cl

A complex optical model potential modified by the concept of bonded atom, which takes into consideration the overlapping effect of electron clouds between two atoms in a molecule, is employed to calculate the total cross sections (TCSs) for electrons scattering from several molecules (CF4, CCl4, CFCl3, CF2 Cl2, and CF3 Cl) over an incident energy range 30 ～ 5000 eV using the additivity rule model at Hartree-Fock level. The quantitative TCSs are compared with those obtained by experiments and other theories wherever available, and good agreement is obtained above 100 eV.It is shown that the modified potential can successfully calculate the TCSs of electron-molecule scattering over a wide energy range, especially at lower energies.     

Optical tomography using the time-independent equation of radiative transfer—Part 2: inverse model

Optical tomography is a novel imaging modality that is employed to reconstruct cross-sectional images of the optical properties of highly scattering media given measurements performed on the surface of the medium. Recent advances in this field have mainly been driven by biomedical applications in which near-infrared light is used for transillumination and reflectance measurements of highly scattering biological tissues. Many of the reconstruction algorithms currently utilized for optical tomography make use of model-based iterative image reconstruction (MOBIIR) schemes. The imaging problem is formulated as an optimization problem, in which an objective function is minimized. In the simplest case the objective function is a normalized-squared error between measured and predicted data. The predicted data are obtained by using a forward model that describes light propagation in the scattering medium given a certain distribution of optical properties.In part I of this two-part study, we presented a forward model that is based on the time-independent equation of radiative transfer. Using experimental data we showed that this transport-theory-based forward model can accurately predict light propagation in highly scattering media that contain void-like inclusions. In part II we focus on the details of our image reconstruction scheme (inverse model). A crucial component of this scheme involves the efficient and accurate determination of the gradient of the objective function with respect to all optical properties. This calculation is performed using an adjoint differentiation algorithm that allows for fast calculation of this gradient. Having calculated this gradient, we minimize the objective function with a gradient-based optimization method, which results in the reconstruction of the spatial distribution of scattering and absorption coefficients inside the medium. In addition to presenting the mathematical and numerical background of our code, we present reconstruction results based on experimentally obtained data from highly scattering media that contain void-like regions. These types of media play an important role in optical tomographic imaging of the human brain and joints.     

Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation

Reconstructing the distribution of optical parameters in the participating medium based on the frequency-domain radiative transfer equation(FD-RTE) to probe the internal structure of the medium is investigated in the present work.The forward model of FD-RTE is solved via the finite volume method(FVM). The regularization term formatted by the generalized Gaussian Markov random field model is used in the objective function to overcome the ill-posed nature of the inverse problem. The multi-start conjugate gradient(MCG) method is employed to search the minimum of the objective function and increase the efficiency of convergence. A modified adjoint differentiation technique using the collimated radiative intensity is developed to calculate the gradient of the objective function with respect to the optical parameters. All simulation results show that the proposed reconstruction algorithm based on FD-RTE can obtain the accurate distributions of absorption and scattering coefficients. The reconstructed images of the scattering coefficient have less errors than those of the absorption coefficient, which indicates the former are more suitable to probing the inner structure.     

Pauli Correlation Effect for the Elastic Scattering of Protons by Different Nuclei at 800 MeV

The angular distributions of the elastic scattering of protons at an energy of 800 MeV by ¹⁶O and ²⁰Ne nuclei are described in terms of the optical model scattering theory. Single folding model is applied to calculate the optical potential taking the effective nucleon-nucleon interaction to be in two forms. One form includes the zero-range pseudo-potential term and the other includes a two-body Pauli correlation function. Analytical expressions for the real part of the optical potential are obtained for both forms. The imaginary part of the optical potential is taken to be of the Woods-Saxon's shape. It is found that introducing the Pauli correlation function improves the agreement with the experimental data for the elastic scattering differential cross-sections of protons with the target nuclei ¹⁶O and ²⁰Ne.     

电子被HF和HCl分子散射总截面的计算

利用光学势方法计算了能量在１０ｅＶ—１０００ｅＶ范围内电子被Ｈ、Ｆ和Ｃｌ原子散射的总截面，并与已有的实验结果和理论计算进行了比较；又利用可加性规则（ａｄｄｉｔｉｖｉｔｙｒｕｌｅ）计算得到了电子被ＨＦ和ＨＣｌ分子散射的总截面，计算结果也与已有的实验结果和理论计算进行了比较