复杂环境中手机电磁辐射的比吸收率计算
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摘要
针对如何精确、高效地计算复杂环境中手机电磁辐射比吸收率的问题,开展了有限元区域分解方法及其对于非周期结构目标的求解方法研究。结合有限元区域分解与并行计算技术,给出了一种分析手机辐射情况下人体局部比吸收率的高效方法。通过计算复杂分层人头模型,与商业软件进行对比,验证了该方法的正确性与计算效率。最后,将这种方法应用于车载环境中人头局部比吸收率仿真分析中,有限元求解网格量突破1 000万,表明了该方法的计算能力。
Aiming at the problem how to accurately and efficiently calculate the specific absorption ratio(SAR)from the mobile phone electromagnetic radiations in complex environment,the finite element domain decomposition method(DDM)and its solution method for aperiodic targets are studied.By combining the finite element DDM with the parallel computing technology,an efficient method for analyzing the local SAR of the human body under mobile phone radiations is given.By calculating the complex hierarchical head model and comparing with commercial software,the correctness and computational efficiency of this method are verified.Finally,this method is applied to calculate the local SAR of the human head in vehicle environment,and the number of FEM meshes exceeds 10 million,which shows the ability of the method.
Aiming at the problem how to accurately and efficiently calculate the specific absorption ratio(SAR)from the mobile phone electromagnetic radiations in complex environment,the finite element domain decomposition method(DDM)and its solution method for aperiodic targets are studied.By combining the finite element DDM with the parallel computing technology,an efficient method for analyzing the local SAR of the human body under mobile phone radiations is given.By calculating the complex hierarchical head model and comparing with commercial software,the correctness and computational efficiency of this method are verified.Finally,this method is applied to calculate the local SAR of the human head in vehicle environment,and the number of FEM meshes exceeds 10 million,which shows the ability of the method.
引文
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[14]ZHAO K,RAWAT V,LEE S C,et al.A Domain Decomposition Method with Nonconformal Meshes for Finite Periodic and Semi-periodic Structures[J].IEEE Transactions on Antennas and Propagation,2007,55(9):2559-2570.
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[16]GARCíA-CASTILLO L E,SALAZAR-PALMA M.Second-order Nedelec Tetrahedral Element for Computational Electromagnetics[J].International Journal of Numerical Modelling:Electronic Networks,Devices and Fields,2000,13(2/3):261-287.
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[2]陈威立.移动电话比吸收率能力验证技术研究[D].北京:华北电力大学,2017.
[3]张玉,赵勋旺,陈岩,等.计算电磁学中的超大规模并行矩量法[M].西安:西安电子科技大学出版社,2016.
[4]TOGASHI T,NAGAOKA T,KIKUCHI S,et al.FDTD Calculations of Specific Absorption Rate in Fetus Caused by Electromagnetic Waves from Mobile Radio Terminal Using Pregnant Woman Model[J].IEEE Transactions on Microwave Theory and Techniques,2008,56(2):554-559.
[5]姜雪松,江树刚,张玉,等.国产众核处理器百万核时域有限差分并行计算[J].西安电子科技大学学报,2017,44(6):65-69.JIANG Xuesong,JIANG Shugang,ZHANG Yu,et al.Parallel FDTD Computation of Million Cores with the Domestically-made Many-core Supercomputer[J].Journal of Xidian University,2017,44(6):65-69.
[6]LAAKSO I,UUSITUPA T,ILVONEN S.Comparison of SAR Calculation Algorithms for the Finite-difference Timedomain Method[J].Physics in Medicine and Biology,2010,55(15):N421-N431.
[7]NIU K,HUANG Z,LI M,et al.Optimization of the Artificially Anisotropic Parameters in WCS-FDTD Method for Reducing Numerical Dispersion[J].IEEE Transactions on Antennas and Propagation,2017,65(12):7389-7394.
[8]HUANHUAN Z,ZHONGCHAO L,SHA W,et al.Electromagnetic-thermal Analysis of Human Head Exposed to Cell Phones with the Consideration of Radiative Cooling[J].IEEE Antennas and Wireless Propagation Letters,2018,17(9):1584-1587.
[9]CHUANG H R.Human Operator Coupling Effects on Radiation Characteristics of a Portable Communication Dipole Antenna[J].IEEE Transactions on Antennas and Propagation,1994,42(4):556-560.
[10]MAKAROV S,NOETSCHER G,YANAMADALA J,et al.Virtual Humans Models for Electromagnetic Studies and Their Applications[J].IEEE Reviews in Biomedical Engineering,2017,10:95-121.
[11]MOHAMMED B,JIN J,ABBOSH A,et al.Evaluation of Children Exposure to Electromagnetic Fields of Mobile Phones Using Age-specific Head Models with Age-dependent Dielectric Properties[J].IEEE Access,2017,5:27345-27353.
[12]WESSAPAN T,SRISAWATDHISUKUL S,RATTANADECHO P.Specific Absorption Rate and Temperature Distributions in Human Head Subjected to Mobile Phone Radiation at Different Frequencies[J].International Journal of Heat and Mass Transfer,2012,55(1-3):347-359.
[13]KABURCUK F,ELSHERBENI A Z.Temperature Rise and SAR Distribution at Wide Range of Frequencies in a Human Head due to an Antenna Radiation[J].Applied Computational Electromagnetics Society Journal,2017,33(4):367-372.
[14]ZHAO K,RAWAT V,LEE S C,et al.A Domain Decomposition Method with Nonconformal Meshes for Finite Periodic and Semi-periodic Structures[J].IEEE Transactions on Antennas and Propagation,2007,55(9):2559-2570.
[15]LU J,CHEN Y,LI D,et al.An Embedded Domain Decomposition Method for Electromagnetic Modeling and Design[J],IEEE Transactions on Antennas and Propagation,2019,67(1):309-323.
[16]GARCíA-CASTILLO L E,SALAZAR-PALMA M.Second-order Nedelec Tetrahedral Element for Computational Electromagnetics[J].International Journal of Numerical Modelling:Electronic Networks,Devices and Fields,2000,13(2/3):261-287.
[17]SHAO Y,PENG Z,LIM K H,et al.Non-conformal Domain Decomposition Methods for Time-harmonic Maxwell Equations[J].Proceedings:Mathematical,Physical,and Engineering Sciences,2012,468(2145):2433-2460.