基于高阶有限元方法的人体头部比吸收率分析
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摘要
随着智能手机的普及,手机电磁辐射对人体健康的影响受到越来越多的关注。针对人体组织结构复杂、媒质不均匀的特点,采用高阶有限元方法对人体进行电磁建模。该方法可以高效、可靠地分析手机天线对人体局部比吸收率(SAR)分布的影响。文中介绍了高阶有限元方法基本理论,并模拟计算了900 MHz频率的PIFA手机作用下均匀介质人头模型的局部比吸收率分布,其结果与商业软件对比,验证了该方法的正确性。最后,在900 MHz的频率下应用高阶有限元法模拟计算了PIFA手机对复杂分层非均匀介质人头局部比吸收率分布的影响,表明了该方法的可行性和可靠性。
The impact of mobile phone's electromagnetic radiation on human health has received more and more attention, with the popularization of smart phones. Due to the complex structure of human tissues and the lack of media uniform characteristics, we construct electromagnetic model of the human body with higher order finite element method. Such method is able to analyze the phone antenna's influence on human body's local specific absorption rate(SAR) efficiently and reliably. In this paper we firstly introduce the basic theory of higher order finite element method, then the local specific absorption rate distribution of the head model with homogeneous medium under the action of PIFA mobile phone at a frequency of 900 MHz is calculated by high order finite element method and compared with commercial software to validate the correctness of this method. Finally, the high order finite element method is applied to simulate the local specific absorption rate distribution of complicated multilayer head model with heterogeneous medium under the action of PIFA mobile phone at 900 MHz, which indicates the feasibility and reliability of the proposed method.
The impact of mobile phone's electromagnetic radiation on human health has received more and more attention, with the popularization of smart phones. Due to the complex structure of human tissues and the lack of media uniform characteristics, we construct electromagnetic model of the human body with higher order finite element method. Such method is able to analyze the phone antenna's influence on human body's local specific absorption rate(SAR) efficiently and reliably. In this paper we firstly introduce the basic theory of higher order finite element method, then the local specific absorption rate distribution of the head model with homogeneous medium under the action of PIFA mobile phone at a frequency of 900 MHz is calculated by high order finite element method and compared with commercial software to validate the correctness of this method. Finally, the high order finite element method is applied to simulate the local specific absorption rate distribution of complicated multilayer head model with heterogeneous medium under the action of PIFA mobile phone at 900 MHz, which indicates the feasibility and reliability of the proposed method.
引文
[1] 王菲, 李龙, 梁昌洪, 等. 利用EBG结构减少手机辐射对人体的影响[J]. 微波学报, 2010(S2):274-277 Wang F, Li L, Liang C H, et al. Reduction of mobile phone radiation effects on human health using the EBG structure[J]. Journal of Microwaves, 2010, 26(S2):274-277
[2] 邵煜, 邹冬华, 刘宁国, 等. 有限元方法在法医学颅脑损伤分析中的应用[J]. 法医学杂志, 2010, 26(6):449-453 Shao Y,Zou D H, Liu N G ,et al. Application of finite element method in evaluation of craniocerebral trauma [J]. Journal of Forensic Medicine,2010, 26(6):449-453
[3] 尹文禄, 邓聪, 柴舜连,等. 基于Nedelec条件的高阶矢量元构造与实现[J]. 微波学报, 2009, 25(3):7-12 Yin W L, Deng C, Chai S L, et al. Construction and implementation of higher order vector elements based on Nedelec constraints[J]. Journal of Microwaves, 2009, 25(3):7-12
[4] Salazar-Palma M. Second-order Nédélec tetrahedral element for computational electromagnetics[J]. International Journal of Numerical Modelling Electronic Networks Devices and Fields, 2000, 13(2-3):261-287
[5] Schiavoni A, Bertotto P, Richiardi G, et al. SAR generated by commercial cellular phones-phone modeling, head modeling, and measurements[J]. IEEE Transactions on Microwave Theory & Techniques, 2000, 48(11):2064-2071
[6] 朱春丹. 分析手机辐射对人体头部的影响[D]. 昆明:云南师范大学, 2013 Zhu C D. A study of the influence of mobile phone radiation on the human head[D]. Kunming:Yunnan Normal University,2013
[7] 王莹, 于利娟, 张民. 三类手机天线辐射与SAR仿真对比分析[J]. 电子科技, 2015, 28(1):53 Wang Y, Yu L J, Zhang M. Simulation analysis of the radiation pattern of three types of mobile phone antenna and the SAR contrast analysis[J].Electronic Sci &Tech, 2015, 28(1):53
[8] 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白杨 女,1992年生,硕士生。主要研究方向:并行高阶有限元。E-mail: baiyang2611@163.com
[2] 邵煜, 邹冬华, 刘宁国, 等. 有限元方法在法医学颅脑损伤分析中的应用[J]. 法医学杂志, 2010, 26(6):449-453 Shao Y,Zou D H, Liu N G ,et al. Application of finite element method in evaluation of craniocerebral trauma [J]. Journal of Forensic Medicine,2010, 26(6):449-453
[3] 尹文禄, 邓聪, 柴舜连,等. 基于Nedelec条件的高阶矢量元构造与实现[J]. 微波学报, 2009, 25(3):7-12 Yin W L, Deng C, Chai S L, et al. Construction and implementation of higher order vector elements based on Nedelec constraints[J]. Journal of Microwaves, 2009, 25(3):7-12
[4] Salazar-Palma M. Second-order Nédélec tetrahedral element for computational electromagnetics[J]. International Journal of Numerical Modelling Electronic Networks Devices and Fields, 2000, 13(2-3):261-287
[5] Schiavoni A, Bertotto P, Richiardi G, et al. SAR generated by commercial cellular phones-phone modeling, head modeling, and measurements[J]. IEEE Transactions on Microwave Theory & Techniques, 2000, 48(11):2064-2071
[6] 朱春丹. 分析手机辐射对人体头部的影响[D]. 昆明:云南师范大学, 2013 Zhu C D. A study of the influence of mobile phone radiation on the human head[D]. Kunming:Yunnan Normal University,2013
[7] 王莹, 于利娟, 张民. 三类手机天线辐射与SAR仿真对比分析[J]. 电子科技, 2015, 28(1):53 Wang Y, Yu L J, Zhang M. Simulation analysis of the radiation pattern of three types of mobile phone antenna and the SAR contrast analysis[J].Electronic Sci &Tech, 2015, 28(1):53
[8] 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白杨 女,1992年生,硕士生。主要研究方向:并行高阶有限元。E-mail: baiyang2611@163.com