Apparent directional spectral emissivity determination of semitransparent materials

An inverse estimation method and corresponding measurement system are developed to measure the apparent spectral directional emissivities of semitransparent materials. The normal spectral emissivity and transmissivity serve as input for the inverse analysis. Consequently, the refractive index and absorption coefficient of the semitransparent material could be retrieved by using the pseudo source adding method as the forward method and the stochastic particle swarm optimization algorithm as the inverse method. Finally, the arbitrary apparent spectral directional emissivity of semitransparent material is estimated by using the pseudo source adding method given the retrieval refractive index and absorption coefficient. The present system has the advantage of a simple experimental structure, high accuracy, and excellent capability to measure the emissivity in an arbitrary direction. Furthermore, the apparent spectral directional emissivity of sapphire at 773 K is measured by using this system in a spectral range of 3 μm–12 μm and a viewing range of 0?–90?. The present method paves the way for a new directional spectral emissivity measurement strategy.     

Monte Carlo discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index

A Monte Carlo discrete curved ray-tracing method is developed to analyze the radiative transfer in one-dimensional absorbing-emitting semitransparent slab with variable spatial refractive index, in which the Monte Carlo method is combined with the discrete curved ray-tracing method. A problem of radiative equilibrium with linear variable spatial refractive index is taken as an example to examine the accuracy of the proposed method. The temperature distributions and the dimensionless radiative heat flux are determined by the proposed method and compared with the data in references, which are obtained by other different methods. The results show that the Monte Carlo discrete curved ray-tracing method has a good accuracy in solving the radiative transfer in one-dimensional semitransparent slab with variable spatial refractive index.     

Simulation of the infrared radiation characteristics of high-temperature exhaust plume including particles using the backward Monte Carlo method

The analysis of the infrared radiation characteristics of high-temperature free-stream flow including particles is very significant for the field of target detection, combustion diagnosis and temperature measurement of flame. In this paper, the infrared radiation characteristics of high-temperature free-stream flow are calculated and analyzed using the backward Monte Carlo method, considering the effect of the directional radiation heat flux due to the particle scattering and the different boundary conditions. The calculation results of emitting, absorbing and anisotropically scattering media are compared with the forward Monte Carlo and finite-volume methods results, which shows the superiority on computational efficiency with the backward Monte Carlo method.     

蒙特-卡罗法计算黑体空腔有效发射率

介绍了蒙特-卡罗法计算黑体空腔发射率的基本思想和主要算法。首先阐述了计算黑体空腔有效发射率的理论基础,然后分别从正向光线追迹和逆向光线追迹的角度对蒙特-卡罗法的具体算法予以说明,提出逆向追迹思想能方便地计算空腔的定向有效发射率,经过运算可以得到腔积分半球有效发射率和平均垂直有效发射率。最后对比了采用蒙特-卡罗法和其它方法的计算结果,分析表明：蒙特-卡罗法在计算黑体空腔有效发射率上是准确的,劣势在于计算速度慢。     

辐射器漫反射定向管表面热辐射方向性

为了得到辐射能的方向分布特性,利用蒙特卡罗法,研究了定向管内壁面为不等温灰体、其底部假想圆型辐射器为黑体时,管内壁发射率、管长与半径比、管内空气流速等参数的变化对管口表面当量定向发射率的影响,计算结果表明:管长与半径比增加,管口表面较大的当量定向发射率向小角度的天顶角方向移动,空气流速仅影响当量定向发射率数值大小。     

Noncontact temperature measurement by means of CCD cameras in a participating medium

An original technique was presented for noncontact three-dimensional temperature field measurement in a participating medium using radiative information captured by a CCD camera. This technique was based on the backward Monte Carlo method and was faster and more efficient than traditional techniques based on the forward Monte Carlo method. A numerical simulation case was adopted to validate the technique. It was found that the technique was capable of reconstructing the three-dimensional temperature field well, even with noisy input data.     

Anisotropic emission characteristics of semitransparent spherical particle with spherically asymmetric temperature distribution

The Monte Carlo ray-tracing method (MCRT) based on the concept of radiation distribution factor is extended to study the anisotropic emission characteristics of semitransparent spherical particle with spherically asymmetric temperature distribution. The dimensionless apparent spectral radiative intensity of particle emission is calculated by the radiation distribution factor. The effects of the related parameters on the dimensionless apparent spectral radiative intensity are analyzed and discussed. The results show that the anisotropy of particle emission increases with the spherically asymmetry of particle temperature, and the refractive index and the particle optical thickness strongly affect the anisotropic emission characteristics of semitransparent spherical particle with spherically asymmetric temperature distribution.     

Discontinuous finite element method for radiative heat transfer in semitransparent graded index medium

To avoid the complicated and time-consuming computation of curved ray trajectories, a discontinuous finite element method based on discrete ordinate equation is extended to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Two cases of radiative heat transfer in two-dimensional rectangular gray semitransparent graded index medium enclosed by opaque boundary are examined to verify this discontinuous finite element method. Special layered and radial graded index distributions are considered. The predicted dimensionless net radiative heat fluxes and dimensionless temperature distributions are determined by the discontinuous finite element method and compared with the results obtained by the curved Monte Carlo method in references. The results show that the discontinuous finite element method has a good accuracy in solving the multi-dimensional radiative transfer problem in a semitransparent graded index medium.     

任意入射辐射条件下介质特性对瞬态辐射传递的影响

用基于Monte Carlo法的DRESOR法在平行平板系统内具有吸收、无发射介质中研究不同波形入射、壁面反射、介质散射率、光学厚度、各向异性散射等条件对瞬态辐射传递的影响.任意连续波形入射辐射是目前大多数数值方法很难处理的瞬态辐射问题,而DRESOR法通过在系统内计算一单位入射辐射能对介质的DRESOR数分布,就能计算任意连续波形入射辐射条件下高方向分辨率的瞬态辐射强度结果.DRESOR法和Monte Carlo法计算的结果进行了比较验证,两者吻合较好,证明了DRESOR法处理瞬态入射辐射问题的正确性和有效性.     

电子束曝光中的蒙特卡罗方法

本文用蒙特卡罗方法模拟了散射电子束在PMMA电子束胶层中的能量沉积分布。为兼顾节约计算机CPU运行机时和物理概念的严谨性而提出了混合式步长的模拟方法。在处理电子穿越胶-衬底的边界时,本文采用宁一种几率确定法,用以判断电子是否在界面处发生一次弹性散射。得出了电子在胶层中的前散射和背散射的能量沉积分布图。     

Radiation symmetry test and uncertainty analysis of Monte Carlo method based on radiative exchange factor

Using Monte Carlo method, the paper investigates the radiative heat transfer in participating media. Based on the radiative exchange factor, an uncertainty analysis of Monte Carlo method is undertaken and the corresponding mathematical expressions are deduced to predict its accuracy. Furthermore, randomness properties of pseudorandom number generators are investigated, and a model to test radiation symmetry is adopted to validate the performance of some generators. The paper studies the effects of energy bundle numbers, discretization schemes, emission location, optical thicknesses, wall emissivity and CPU time on the numerical accuracy. In addition, the simulation results are proved to give a reference for using Monte Carlo method, which is applicable for calculation of the radiative exchange factor.     

Discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index

A discrete curved ray-tracing method is developed to analyze the radiative transfer in one-dimensional absorbing-emitting semitransparent slab with variable spatial refractive index. The curved ray trajectory is locally treated as straight line and the complicated and time-consuming computation of ray trajectory is cut down. A problem of radiative equilibrium with linear variable spatial refractive index is taken as an example to examine the accuracy of the proposed method. The temperature distributions are determined by the proposed method and compared with the data in references, which are obtained by other different methods. The results show that the discrete curved ray-tracing method has a good accuracy in solving the radiative transfer in one-dimensional semitransparent slab with variable spatial refractive index.     

Discrete ordinates solution of coupled conductive radiative heat transfer in a two-layer slab with Fresnel interfaces subject to diffuse and obliquely collimated irradiation

The coupled conductive radiative heat transfer in a two-layer slab with Fresnel interfaces subject to diffuse and obliquely collimated irradiation is solved. The collimated and diffuse components problems are treated separately. The solution for diffuse radiation is obtained by using a composite discrete ordinates method and includes the development of adaptive directional quadratures to overcome the difficulties usually encountered at the interfaces. The complete radiation numerical model is validated against the predictions obtained by using the Monte Carlo method.     

Simultaneous measurement of emittance, transmittance, and reflectance of semitransparent materials at elevated temperature

A two-substrate method is developed to simultaneously determine emissivity, transmittance, and reflectance of semitransparent materials with a single measurement under the same environment at elevated temperature. The three quantities can be obtained through the emissivities of substrates and the apparent emissivities resulting from the radiance of the sample heated by substrates. The two-substrate method is compared with the conventional method by measuring sapphire samples with various thicknesses, resulting in good agreements for all the samples. The present method will be useful to measure the temperature dependence of optical properties of porous ceramic materials.     

Photon transport in thin disordered slabs

We examine using Monte Carlo simulations, photon transport in optically ‘thin’ slabs whose thickness L is only a few times the transport mean free path l*, with particles of different scattering anisotropies. The confined geometry causes an auto-selection of only photons with looping paths to remain within the slab. The results of the Monte Carlo simulations are borne out by our analytical treatment that incorporates directional persistence by the use of the Ornstein-Uhlenbeck process, which interpolates between the short time ballistic and long time diffusive regimes.     

蒙特卡罗模拟分析电子束发射度对照射量空间分布影响

加速器靶前正前方1 m处的照射量是衡量加速器光源辐射能力的重要物理参量。电子束轰击高原子序数靶产生的X射线空间分布具有很强的前冲性,照射量空间分布与电子束的发射度密切相关。采用高斯函数对不同电子束发射度条件下入射电子的空间分布和角度分布进行建模。应用蒙特卡罗方法对电子束打靶的轫致辐射过程进行模拟,分析电子束发射度对照射量的影响。同时还对整靶结构和叠靶结构下的轫致辐射光源照射量进行计算比较。结果表明,电子束的发散角是影响轫致辐射光源照射量的主要因素。与采用整靶结构相比,采用叠靶结构所获得的照射量空间分布基本一致,在正前方小角度范围内（0~4）的照射量有2%~3%的降低。     

基于蒙特卡罗正算输运的全局减方差方法

蒙特卡罗方法是当前形势下辐射屏蔽计算的首选分析工具。小概率深穿透问题则是屏蔽计算的关键与亟待解决的核心问题,需要使用有效的减方差技巧。针对全局问题,利用蒙特卡罗正算输运得到的粒子通量或探测响应来构建权重窗参数,将现有的粒子位置偏移拓展到位置和能量偏倚。利用国际屏蔽基准题进行测试验证,通过使用该方法,粒子被引导到模型的所有位置。平均相对误差降低到10%以下,几乎所有网格区域都有粒子统计。结果表明,基于蒙特卡罗正算输运的输运偏倚参数构建方法能够实现全局减方差。     

The effect of phonon anisotropic scattering on the thermal conductivity of silicon thin films at 300K and 400K

Previous studies have shown that anisotropy in phonon transport exist because of the difference in phonon dispersion relation due to different lattice directions, as observed by a difference in in-plane and cross-plane thermal conductivities. Our current work intends to study the effect of anisotropy scattering on silicon thermal conductivity at 300 K and 400 K. We adopt the Henyey and Greenstein probability density function in our phonon Monte Carlo simulation to investigate the effect of highly forward and backward scattering events. The impact of applying the anisotropy scattering using this approach is discussed in detail. While the forward and backward scattering will increase and decrease thermal conductivity respectively, the extent of the effect is non-linear such that forward scattering has a more obvious effect on thermal conductivity than backward scattering.     

蒙特卡罗模拟分析电子束发射度对照射量空间分布影响

加速器靶前正前方1 m处的照射量是衡量加速器光源辐射能力的重要物理参量。电子束轰击高原子序数靶产生的X射线空间分布具有很强的前冲性,照射量空间分布与电子束的发射度密切相关。采用高斯函数对不同电子束发射度条件下入射电子的空间分布和角度分布进行建模。应用蒙特卡罗方法对电子束打靶的轫致辐射过程进行模拟,分析电子束发射度对照射量的影响。同时还对整靶结构和叠靶结构下的轫致辐射光源照射量进行计算比较。结果表明,电子束的发散角是影响轫致辐射光源照射量的主要因素。与采用整靶结构相比,采用叠靶结构所获得的照射量空间分布基本一致,在正前方小角度范围内（0~4）的照射量有2%~3%的降低。