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Validation of Numerical Bioheat FDTD Model 数值生物热FDTD模型的验证
L. Shoshiashvili, A. Razmadze, N. Jejelava, R. Zaridze, L.G. Bit-Babik, A. Faraone
Temperature rise evaluation in human body exposed to RF energy is becoming increasingly important topic related to the future development of the RF exposure safety standards. Therefore the validation of the existing methods like FDTD used in such complex multidisciplinary studies is very important. The accuracy of the FDTD solution of the bio-heat equation which is most often used in this type if studies have been analyzed based on the developed program package. The effect of stair case geometry representation in FDTD grid has been investigated by comparing the test case with analytical solution. In addition comparison was made with the published results. Preliminary data show that in case of constant temperature boundary conditions FDTD results slightly differ from the analytical solution during the transition state of the heat transfer process while there is a much better agreement in steady state regime. In case of convective boundary conditions the steady state temperature distribution at the convective boundary obtained by FDTD method also differ insignificantly from the FEM results reported in literature and temperature values inside the model are almost identical with that from FEM models. The results point to the conclusion that the error in FDTD simulations may be attributed to faster heat exchange which is due to the difference of surface area between the smooth and stair case boundaries of the modeled structures. These results are similar to those reported in T. Samaras et al. (2006). The impact on temperature inside the body far from the boundary is less than 1% while at the boundary is in the range of 4-7% for the models with 0.5 mm grid resolution and tissue like thermal properties
人体暴露于射频能量下的温升评价已成为关系到射频暴露安全标准未来发展的重要课题。因此,在这种复杂的多学科研究中,验证FDTD等现有方法是非常重要的。基于开发的程序包,对这类研究中最常用的生物热方程时域有限差分解的精度进行了分析。通过测试用例与解析解的比较,研究了阶梯几何表示在FDTD网格中的作用。并与已发表的研究结果进行了比较。初步数据表明,在恒温边界条件下,时域有限差分法的结果与解析解在传热过程过渡状态下略有差异,而在稳态状态下则吻合得更好。在对流边界条件下,时域有限差分法得到的对流边界稳态温度分布与文献报道的有限元结果相差不大,模型内的温量值与有限元模型的温量值基本一致。结果表明,时域有限差分模拟的误差可能是由于模拟结构的光滑边界和阶梯边界之间的表面积差异导致的更快的热交换。这些结果与T. Samaras et al.(2006)报道的结果相似。对于网格分辨率为0.5 mm的类组织热性能模型,对远离边界的体内温度的影响小于1%,而在边界处对温度的影响在4-7%之间
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引用次数: 10
Direct and Inverse Acoustic Spherical Wave Scattering by a Small Layered Sphere with Soft Core 软核小层状球的正、反声波球面散射
N. Tsitsas, C. Athanasiadis
A spherical acoustic wave is scattered by a three layered sphere with a soft core. Exact expressions of the fields in every layer and the exterior of the scatterer are established. Low frequency results are then obtained by approximating the exact expression of the scattering cross section. The inverse problem of determining the sphere's center and the layers radii is treated from the knowledge of the scattering cross section's low frequency expansion
一个球形声波被一个软核的三层球体散射。建立了各层场和散射体外部场的精确表达式。然后通过近似散射截面的精确表达式得到低频结果。利用散射截面的低频展开知识,解决了确定球心和层半径的反问题
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引用次数: 0
Reconstructing the Acoustic Pressure Field Using Spheroidal Wave Functions 利用球面波函数重建声压场
Zhou Yide, Wu Jianbo, Yang Ruiliang, Fan Xiaowei
A new formulation based on a prolate spheroidal coordinate was proposed to describe acoustic pressure in the acoustic field. The radiated acoustic pressures are obtained by means of an expansion of independent functions based on the prolate spheroidal coordinate system. Then the acoustic pressure in the field can be reconstructed by using some measured acoustic pressure signals in the field. The independent function of the traditional HELS is spherical function, which is most suitable for reconstructing pressures radiated a spherical source or sources with a characteristic aspect ratio x:y:z close 1:1:1. While the new method proposed in this paper is suitable for the acoustic sources with a characteristic aspect ratio y:z close 1:1 and x at random, which extends the appropriate application domain of traditional HELS largely. It uses a finite cylinder as an example in this paper, which shows that the new method is feasible and efficiently
提出了一种新的基于长球面坐标的声场声压描述公式。辐射声压是基于长球面坐标系的独立函数展开得到的。然后利用现场实测的声压信号重建现场的声压。传统HELS的独立函数为球面函数,最适合重建球面源或特征纵横比x:y:z接近1:1:1的源辐射的压力。而本文提出的新方法适用于特征纵横比y:z接近1:1和随机x的声源,大大扩展了传统HELS的适用范围。以有限圆柱为例,验证了该方法的可行性和有效性
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引用次数: 2
Reflectarray with any Given Radiation Direction 具有任何给定辐射方向的反射射线
B. Levin
The flat reflectarray consisting of a feed and an array of secondary microstrip radiators is considered. The method of a turn of a reflective array pattern maximum in the given direction by a change of reflective array elements condensers capacities in response to an electrical signal is offered
考虑了由馈源和次级微带辐射器阵列组成的平面反射阵列。提供了一种通过改变反射阵列元件的电容器容量以响应电信号而使反射阵列图案在给定方向上最大旋转的方法
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引用次数: 0
Real Vanishing Solutions to Nonlinear Equation Related to Modified Phase Problem 修正相位问题非线性方程的实消失解
I. V. Tupychak, N. N. Voitovich
A nonlinear integral equation arising in the so-called modified phase problem is considered when the given function is modulus of a vanishing function. The real vanishing solutions to this equation are investigated. Solutions having one and two vanishing points are found numerically and the results are analyzed for two concrete examples
当给定函数是一个消失函数的模时,考虑了所谓的修正相位问题中出现的非线性积分方程。研究了该方程的实消失解。用数值方法求出了具有一个和两个消失点的解,并对两个具体实例的结果进行了分析
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引用次数: 5
Reconstruction of Longitudinally Inhomogeneous Dielectric in Waveguides via Integral Equation Technique 利用积分方程技术重建波导中纵向非均匀介质
F. Akleman, A. Yapar
In this study, a longitudinally inhomogeneous dielectric material is loaded in a rectangular cross section waveguide and its permittivity variation is reconstructed using integral equation technique. The analysis of propagation through dielectric loaded waveguide is realized via mode matching technique and the obtained scattering parameters are employed as the measurement data, which is required for the solution of inverse problem by Newton iteration. The validity and reliability of the proposed method has been shown together with numerical applications
本文将纵向非均匀介质材料加载到矩形截面波导中,利用积分方程技术重构其介电常数变化。通过模式匹配技术实现介质加载波导的传播分析,并将得到的散射参数作为测量数据,为牛顿迭代求解反问题提供了必要条件。通过数值应用验证了该方法的有效性和可靠性
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引用次数: 3
Recognition of Irregular Waveguide Geometry Using Opposite Directions Technique 利用反方向技术识别不规则波导几何形状
O. Kusyi, N. N. Voitovich, O. Zamorska
An inverse problem of irregular waveguide shape recognizing with usage of the moving point source inside it, is considered. A combined algorithm is proposed for solving the appropriate direct problem, based on the known cross-section method with applying the opposite directions technique. In combination with the local variations method, this technique most fully uses the information about fixed parts of the recognized waveguide. This approach allows us to minimize the computation costs in each step of the iteration procedure
研究了利用波导内移动点源识别不规则波导形状的反问题。在已知截面法的基础上,采用反方向技术,提出了一种求解合适的直接问题的组合算法。该方法与局部变化法相结合,最大限度地利用了被识别波导中固定部分的信息。这种方法允许我们最小化迭代过程中每一步的计算成本
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引用次数: 0
Inverse Scattering from Bodies with Impedance Boundary 具有阻抗边界的物体的逆散射
B. Katsenelenbaum
A plane wave falls onto the body with an impedance boundary. Magnitude of the back-scattered spherical wave is compared with that of the wave scattered from the body of the same shape, having zero impedance. The impedance (in general, variable over the boundary) can be created such that the back scattering will be noticeably smaller than that from the smooth metallic body. This can be made, e. g., by cutting a set of channels on the boundary, i.e., by crimping. Such a way of the radar protection can be applied also near the edges and vertices where usage of the absorbing coating is not effective enough
平面波落在有阻抗边界的物体上。将反向散射球面波的振幅与相同形状的零阻抗体散射波的振幅进行比较。阻抗(一般来说,在边界上是可变的)可以被创建,使得反向散射明显小于光滑金属体的散射。例如,这可以通过在边界上切割一组通道,即通过卷曲来实现。这种雷达防护方式也可以应用于吸波涂层使用效果不够的边缘和顶点附近
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引用次数: 3
Research of Antenna with Controlled Radiation Polarization 可控辐射极化天线的研究
M. Protsenko, S. Nesteruk
An implementation of combined helical antenna with controlled radiation polarization on the basis of two windings coming from the opposite direction for a frequency range is proposed. The possibility of linear polarization and the plane of polarization control are achieved by usage of reactance. The calculation and analysis of directional pattern and polarization pattern were carried out. The model of antenna was experimentally tested as well
提出了一种在一定频率范围内利用相反方向的两个绕组实现可控极化辐射的组合螺旋天线。利用电抗实现了线极化的可能性和极化控制的平面。对定向图和极化图进行了计算和分析。并对天线模型进行了实验验证
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引用次数: 0
1-D Inverse Problem Solution for Dielectric Structure with Discrete Profile of Permittivity: Gel'fand-Levitan Method 介电常数离散剖面的介电结构一维反问题解:Gel'fand-Levitan法
M. Andreev, S. G. Aleksin, O. Drobakhin, V. G. Korotkaya
The some results of numerical simulation for the Gel'fand-Levitan method of reconstruction of discrete profile of permittivity are presented. Some examples of noise influence and threshold application are considered. The method is based on spectral analysis of frequency data with generalized pencil-of-function method
给出了用Gel’fand- levitan方法重建介电常数离散剖面的一些数值模拟结果。考虑了噪声影响和阈值应用的一些实例。该方法基于广义函数铅笔法对频率数据进行谱分析
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引用次数: 0
期刊
Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory
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