基于等效原理求解介质球极化场问题  

SOLUTION OF THE POLARIZATION FIELD OF DIELECTRIC SPHERE BASED ON THE EQUIVALENCE PRINCIPLE

作　　者：曹斌照 费宏明 杨毅彪 陈景东 CAO Binzhao, FEI Hongming, YANG Yibiao, CHEN Jingdong(College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan, Shanxi 03002)

机构地区：[1]太原理工大学物理与光电工程学院,山西太原030024

出　　处：《物理与工程》2018年第2期36-39,共4页Physics and Engineering

基　　金：2016年山西省高等学校教学改革创新项目(J2016013);2016年太原理工大学本科教育教学改革项目(ZD001);2016年教育部高等学校物理类专业教学指导委员会教学研究项目(JZW-16-DD-12);2016年教育部与高通公司产学合作协同育人项目(201602034010)

摘　　要：文章利用场的叠加原理和连带勒让德多项式的性质,并结合等效偶极矩模型导出导体球在均匀电场中感应场的表达式。以此为基础,基于电磁场的等效原理分析了介质球和介质球壳在均匀电场中的极化场问题。计算结果与相关文献相一致,从而证明了该方法的正确性。最后探讨了时谐电磁场对介质球的极化可以用电偶极矩场近似的条件,并阐明介质球的极化场在电磁辐射与散射、纳米球颗粒共振及电磁隐身中的作用。对于更好地理解极化的物理本源以及应用具有指导意义。Based on the superposition principle of the field and the properties of the associated Legendre polynomials,the expression of the induced field of the metal sphere in the uniform electric field is derived by the equivalent dipole moment model.On the basis of it,the polarization field of dielectric sphere and dielectric spherical shell in uniform electric field is analyzed based on the equivalence principle of electromagnetic field.The results are consistent with the relevant literature,which proves the correctness of the method.Finally,the condition under which the polarization of the time harmonic electromagnetic field to a dielectric sphere can be approximated into the dipole moment field is discussed.Furthermore,the role of the polarization field in the electromagnetic radiation and scattering,the resonance of the nano-particles,and the electromagnetic cloaking is clarified.It is of important guiding significance for better understanding of the physical origin of the polarization and its applications.

关 键 词：连带勒让德多项式 等效原理 介质极化 

分 类 号：O441[理学—电磁学]